Click here👆to get an answer to your question ️ Show that x^2 xy y^2, z^2 zx x^2 and y^2 yz z^2 are consecutive terms of an AP, if x, y and z are in APDivide y, the coefficient of the x term, by 2 to get \frac{y}{2} Then add the square of \frac{y}{2} to both sides of the equation This step makes the left hand side of the equation a perfect squareShare It On Facebook Twitter Email 1 Answer 1 vote answered Aug , 18 by AbhishekAnand (869k points) selected
Math 9 Solutions To Assignment 7 X 2y 1 X 2y I 2 F X Cos Y Z F Y X Z Sin Y Z F Z Xy Z 2 Sin Y Z Pdf Free Download
Z(x+y)=x^2+y^2 show that
Z(x+y)=x^2+y^2 show that-Start date Oct , 12;Z = sin x−iy x2 y2 = sin x x 2y cosh −y x 2y 2 icos x x y sinh −y x y2 = sin x x 2y cosh y x 2y −icos x x y2 sinh y x2 y2 (b) For z ≠ 0, d dz sin 1 z = cos 1 z −1 z2 which is analytic for all z ≠ 0 Question 11 (p112 #25) Show that
Ex 4 2 9 Show That X X2 Yz Y Y2 Zx Z Z2 Xy X Y Y Z
Fsurf(f, 4 4 4 4) Note that this will work if you have access to th Symbolic Math Toolbox If you dont have it, the answer from KSSV will always work Best regards Stephan 0 Comments Show Hide all commentsOct , 12 #1 phosgene 144 1 itex/itex Homework Statement Show that the quantity itexT = c^2(Δt)^2 (Δx)^2 (Δy)^2 (Δz)^2/itex is invariant under a change of frame Homework Equations Lorentz transformationsExample 2 if x = 10 and y is 4 (10 4) 2 = 10 2 2·10·4 4 2 = 100 80 16 = 36 The opposite is also true 25 a 4a 2 = 5 2 2·2·5 (2a) 2 = (5 2a) 2 Consequences of the above formulas
Example 2 if x = 10 and y is 4 (10 4) 2 = 10 2 2·10·4 4 2 = 100 80 16 = 36 The opposite is also true 25 a 4a 2 = 5 2 2·2·5 (2a) 2 = (5 2a) 2 Consequences of the above formulasClearly we have 0 @ xx xy xz yx yy yz zx zy zz 1 A= 0 @ x 1 x 2 x 3 y 1 y 2 y 3 z 1 z 2 z 3 1 A 0 @ x 1 y 1 z 1 x 2 y 2 z 2 x 3 y 3 z 3 1 A;If Z = Log ( E X E Y ) Show that Rt − S 2 = 0 Where R = ∂ 2 Z ∂ X 2 , T = ∂ 2 Z ∂ Y 2 S = ∂ 2 Z ∂ X ∂ Y University of Mumbai BE Computer Engineering Semester 1 (FE First Year) Question Papers 141 Important Solutions 526 Question Bank Solutions 528 Concept Notes 24
Share It On Facebook Twitter Email 1 Answer 1 vote answered Aug , 18 by AbhishekAnand (869k points) selectedAs $(x^2y^2z^2)= (xyz)^2 2(xyyzzx)$, $$(x^2y^2z^2)=\left(xyz\sqrt{2(xyyzzx)}\right)\left(xyz\sqrt{2(xyyzzx)}\right)$$ Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, andComplete the square for all 3 variables and recognize that (x h)^2 (y j)^2 (z k)^2 = r^2 , where (h , j , k) is the center, r the radius (x^2)(y^2)(z^2)=6x4y10z x^26xy^24yz^210z=0
Solved If F Is Differentiable Z Xy F X 2 Y 2 Show That Chegg Com
If U Sin 1 X 2 Y 2 X Y Then Show That X Du Dx Y Du Dy Tan U Mathematics 1 Question Answer Collection
Show that c^2(t^2) x^2 y^2 z^2 is invariant under a change of frame Thread starter phosgene;Question 33 (OR 1st Question) Using the properties of determinants, prove that (y z)2 x2 x2 y2 (z x)2 y2 z2 z2 (x y)2 2xyz (x y z)3 (y z)2 x2 x2 y2 (z x)2 y2 z2 z2 (x y)2 Applying C2 > C2 C1 = (y z)2 x2 (y z)2 x2 y2 (z x)2 y2 y2 z2Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge and
Verify That X3 Y3 Z3 3xyz 1 2 X Y Z X Y 2 Y Z 2 Z X 2 Ieep2 Polynomial Mathematics Of Computing Learn All Concepts Of Polynomials Class 9 With Videos Diana Images
Solved F X Y Z Xy X 2 Z X 2 Y Z 2 Show That Chegg Com
Oct , 12 #1 phosgene 144 1 itex/itex Homework Statement Show that the quantity itexT = c^2(Δt)^2 (Δx)^2 (Δy)^2 (Δz)^2/itex is invariant under a change of frame Homework Equations Lorentz transformations1 y 1 z 1 x 2 y 2 z 2 x 3 y 3 z 3 1 A;To see why this is so, we interpret the above example geometrically Saying that x, y, z satisfy the relation z = x2 y2 means that the point (x, y, z) lies on the paraboloid surface formed by rotating z = y2 about the zaxis The function w = x2 y 2 z 2 A measures the square of the distance from the origin To be defi
If Z Xy F X Y Prove That X Z X Y
Surface Area
Z = sin x−iy x2 y2 = sin x x 2y cosh −y x 2y 2 icos x x y sinh −y x y2 = sin x x 2y cosh y x 2y −icos x x y2 sinh y x2 y2 (b) For z ≠ 0, d dz sin 1 z = cos 1 z −1 z2 which is analytic for all z ≠ 0 Question 11 (p112 #25) Show thatI collected a solution Need to prove x^2y^2z^25xyz \ge 8 Put xyz=p;xyyzzx=q;xyz=r We have qr=4 Need to prove inequality is equivalent to p^22q5r \ge 8 \Leftrightarrow p^27q12 \ge 0Contour plots Real part Imaginary part Alternate form assuming x, y, and z are positive Roots Stepbystep solution;
If X Y Z Pi 2 Show That Cos 2x Cos 2y Cos 2z 2 2sin Xsin Ysin Z
14 1 Functions Of Several Variables Mathematics Libretexts
Input 3D plots Real part Show contour lines;See below Making m = xy n = yz p = xz we have m^2n^2p^2 = 2(x^2y^2z^2x*yx*zy*z) then x^2y^2z^2x*yx*zy*z = 1/2((xy)^2(yz)^2(xz)^2)Then x 2 ∂ x 2 ∂ 2 z 2 x y ∂ x ∂ y ∂ 2 z y 2 ∂ y 2 ∂ 2 z =?
14 2 Limits And Continuity
Solved Evaluate The Limits Or Show That That Do Not Exist Chegg Com
Graph xy=2 Solve for Tap for more steps Subtract from both sides of the equation Multiply each term in by Tap for more steps Multiply each term in by Use the slopeintercept form to find the slope and yintercept Tap for more steps Find the values of and using the form The slope of the line is the value of , and the y(x y)^2 >= 0 because anything squared is greater than or equal to 0 x^2 2xy y^2 >= 0 x^2 y^2 >= 2xy Do the same inequality for x and z, and for y and z Add them up I think that will lead to the inequality you're trying to proveShow that the given equation represents a sphere and find center and radius (x^2)(y^2)(z^2)=6x4y10z?
Unit 4 Partial Derviatives Pdf Maxima And Minima Differential Geometry
If Xy Yz Zx 1 Show That X 1 X 2 Y 1 Y 2 Z 1 Z 2 4xyz
Graph of a hyperbolic paraboloid The graph of the function $f(x,y)=x^2y^2$ More information about applet Example 2 Let $f(x,y,z) = x^2y^2z^2$X^2y^2z^2xyyzzx=0 multiplying the RHS and LHS by 2 we get , 2 x^2y^2z^2xyyzzx =0 or, (xy)^2(yz)^2(zx)^2=0 since in LHS there are only squared terms,ie they cannot be negativeLet X 1;X 2;;X n be IID Bern( =n) random variables, let Y 1;Y 2;;Y nbe an independent sequence of IID random variables with distribution Q= (1=2;1=2) on the set f1;2g, let Z 1;Z 2;;Z n are IID CPo( =n;Q), If we write T n for the sum of the Z i, then P Tn is the CPo( ;Q) distribution Following the same steps as those used for Poisson
Show That The Following Function U 1 2 Log X 2 Y 2 Is Harmonic And Find Its Harmonic Conjugate Functions Mathematics 2 Question Answer Collection
Math 9 Solutions To Assignment 7 X 2y 1 X 2y I 2 F X Cos Y Z F Y X Z Sin Y Z F Z Xy Z 2 Sin Y Z Pdf Free Download
It looks like treating each variable separately makes you overestimate the bound If you use MVT for f as a function of two variables, you have f(x_1,y_1)f(x_2,y_2)=\nabla f(\vec{p}) \cdot \big( (x_1,y_1)(x_2,y_2)\big)Show that c^2(t^2) x^2 y^2 z^2 is invariant under a change of frame Thread starter phosgene;In other words, A= (tB)B, where tenotes the transpose matrix Thus det(A) = det(tB)det(B) = det(B)2 0, and det(A) = 0 if and only if
Prove That Yz X 2 Zx Y 2 Xy Z 2 Zx Y 2 Xy Z 2 Yz X 2 Xy Z 2 Yz X 2 Zx Y 2 Is Divisible By X Y Z And Hence Find The Quotient Sarthaks Econnect Largest Online Education Community
Practice Problems For Exam 2 R
Imaginary part Show contour lines;Find the volume of the region W bounded by the surfaces y = x^2, y = 2−x^2, z = x^2, z = 2−x^2 Expert Answer Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculatorInteger root Properties as a function
Show That Z Ln X 2 Y 2 2 Tan 1 Y X Satisfies The Laplaces S Equation Mathematics Stack Exchange
Prove That Det Yx X 2 Zx Y 2 Xy Z 2 Zx Y 2 Xy Z 2 Yz X 2 Xy Z 2 Yz X 2 Zx Y 2 Is Divi Youtube
Divide through by x^2y^2 Then we get, \frac{1}{y^2} \frac{1}{xy} \frac{1}{x^2} = 1 One of the denominators must be less than or equal to three x = 1 and y = 1 are ruled outCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyView solution I f u = tan − 1 ( x y 3 x 2 y 2 x y 2 ) , then x ∂ x ∂ u y ∂ y ∂ u is equal to
Partial Differential Equations
Document
Show that the given equation represents a sphere and find center and radius (x^2)(y^2)(z^2)=6x4y10z?Show that `x^2x yy^2,z^2xzx^2, y^2y zz^2,` are consecutive terms of an AP, if `x ,y and z` are in AP Representation of sequences and different types of series Definition algorithm to determine the sequence of AP//googl/JQ8NysPartial Derivative of f(x, y) = xy/(x^2 y^2) with Quotient Rule
1511 All Tutorials Engineering Calculus Studocu
Vector Analysis By Alimkanwalimtinaa Issuu
Solved Consider the function f(x,y,z) = x^2 y^2 z^2 subject to the constraint x 4z = 5 (a) f need not have an absolute maximum nor absoluteVerify Stokes theorem for F =(y^2 x^2 x^2)i (z^2 x^2 y^2)j (x^2 y^2 z^2)k over the portion of the surface x^2 y^2 2ax az = 0 While evaluating the integral we get hard to evaluate integrals What can we do to simplify this?(x y)^2 >= 0 because anything squared is greater than or equal to 0 x^2 2xy y^2 >= 0 x^2 y^2 >= 2xy Do the same inequality for x and z, and for y and z Add them up I think that will lead to the inequality you're trying to prove
Ex 4 2 9 Show That X X2 Yz Y Y2 Zx Z Z2 Xy X Y Y Z
Answered Let E X Y 2 E R 1 X 2 1 Bartleby
This is known as a difference of squares It can be factored as x^2 y^2 = (xy)(xy) Notice that when you multiply (xy) by (xy) then the terms in xy cancel out, leaving x^2y^2 (xy)(xy) = x^2xyyxy^2 = x^2xyxyy^2 = x^2y^2 In general, if you spot something in the form a^2b^2 then it can be factored as (ab)(ab) For example 9x^216y^2 = (3x)^2(4y)^2 = (3x4y)(3x4y)//googl/JQ8NysMultivariable Calculus Limit of y^2/(x^2 y^2) as (x,y) approaches (0,0)Then x 2 ∂ x 2 ∂ 2 z 2 x y ∂ x ∂ y ∂ 2 z y 2 ∂ y 2 ∂ 2 z =?
If Delta 1 1 1 1 X 2 Y 2 Z 2 X Y Z And Delta 2
Example 32 Show That Determinant 2xyz X Y Z 3 Class 12
Get an answer for 'Show that z=ln((x^2) (y^2)) is a solution of Laplace's equation δ^2z/δx^2 δ^2/δy^2 = 0' and find homework help for other Math questions at eNotes$\begingroup$ x^2 y^2 = 0 mod 3 only if both x and y are divisible by 3 as x^2 and y^2 can only be = 0,1 (not 1) mod 3 So if x^2 y^2=3z^2 then 3 divides x and y So 9 divides x^2 y^2 so 3 divides z^2 so 9 divides z^2 so 27 divides x^2 and y^2 and so on ad infinitim $\endgroup$ – fleablood Apr 16 '16 at 113//googl/JQ8NysPartial Derivative of f(x, y) = xy/(x^2 y^2) with Quotient Rule
U U Xy 25 If 3 5y 75 2 Show That Z My 2x Y
Get Answer Show Transcribed Image Text Consider The Function F X Y Z Xy Transtutors
First, for the sake of practice, let's identify what this surface given by \(f\left( {x,y} \right)\) is To do this let's rewrite it as, \z = \sqrt {{x^2} {y^2}} \Complete the square for all 3 variables and recognize that (x h)^2 (y j)^2 (z k)^2 = r^2 , where (h , j , k) is the center, r the radius (x^2)(y^2)(z^2)=6x4y10z x^26xy^24yz^210z=0Please Subscribe here, thank you!!!
If 2 X 3 Y 12 Z Then Prove That Xy Z X 2y Mathematics Topperlearning Com 8v1liiww
If 2x 3y 12z Show That X 2y Z Xy Brainly In
Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreASSIGNMENT 11 SOLUTION JAMES MCIVOR 1 Stewart 5 pts (1) If Cis the line segment connecting the point (x 1;y 1) to the point (x 2;y 2), show that Z C xdy ydx= x 1y 2 x 2y 1 (2) If the vertices of a polygon, in counterclockwise order, are (xView solution I f u = tan − 1 ( x y 3 x 2 y 2 x y 2 ) , then x ∂ x ∂ u y ∂ y ∂ u is equal to
Chapter 1 Maths 3
Double Integrals Over General Regions Calculus Volume 3
Ex 42, 9 By using properties of determinants, show that 8(x&x2&yz@y&y2&zx@z&z2&xy) = (x – y) (y – z) (z – x)(xy yz zx) Solving LHS 8(𝑥&𝑥^2&𝑦𝑧@𝑦&𝑦^2&𝑧𝑥@𝑧&𝑧^2&𝑥𝑦) Applying R1→ R1 – R2 = 8(𝑥−𝑦&𝑥^2−𝑦^2&𝑦𝑧−𝑥𝑧@𝑦&𝑦^2&𝑧𝑥@𝑧&𝑧^2&𝑥𝑦) Ex 42, 9 By using properties of determinants, sExpand (xyz)^2 Rewrite as Expand by multiplying each term in the first expression by each term in the second expression Simplify each term Tap for more steps Multiply by Rewrite using the commutative property of multiplication Rewrite using the commutative property of multiplicationGiven random variables,, , that are defined on a probability space, the joint probability distribution for ,, is a probability distribution that gives the probability that each of ,, falls in any particular range or discrete set of values specified for that variable In the case of only two random variables, this is called a bivariate distribution, but the concept generalizes to any
Line Integral Example 1 Video Khan Academy
If 2 Power X 3 Power Y 6 Power Z Show That Z Xy X Y Mathematics Topperlearning Com 7984
Oct , 12 #1 phosgene 144 1 itex/itex Homework Statement Show that the quantity itexT = c^2(Δt)^2 (Δx)^2 (Δy)^2 (Δz)^2/itex is invariant under a change of frame Homework Equations Lorentz transformationsStart date Oct , 12;Show that (x 2 xy y 2), (z 2 xz x 2) and (y 2 yz z 2) are consecutive terms of an AP, if x, y and z are in AP sequences and series;
Sheet 1 Mathematics 611 Studocu
Prove That Determinant Of X X2 Yz Y Y2 Zx X Y Y Z Z X Xy Yz Zx Z Z2 Xy Brainly In
If x, y, z be positive real numbers such that x 2 y 2 z 2 = 2 7, then show that x 3 y 3 z 2 ≥ 8 1 Answer Applying Cauchy Schwarz inequality to the two sets of numbersFind one factor of the form kx^{m}n, where kx^{m} divides the monomial with the highest power x^{2} and n divides the constant factor y^{2}yz One such factor is xy Factor the polynomial by dividing it by this factorCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge and
Using Properties Of Determinants Prove That X Y Z X 2 Y 2 Z 2 X 3 Y 3 Z 3 Xyz X Y Y Z Z X Sarthaks Econnect Largest Online Education Community
Solved 4 If Z Xy Xf Y X Then Show X Z Z Xy 0 5 Find The X Y Z Values That Make U Minimum Under The X 2y 2z 9 Condition Course Hero
Ex 42, 9 By using properties of determinants, show that 8(x&x2&yz@y&y2&zx@z&z2&xy) = (x – y) (y – z) (z – x)(xy yz zx) Solving LHS 8(𝑥&𝑥^2&𝑦𝑧@𝑦&𝑦^2&𝑧𝑥@𝑧&𝑧^2&𝑥𝑦) Applying R1→ R1 – R2 = 8(𝑥−𝑦&𝑥^2−𝑦^2&𝑦𝑧−𝑥𝑧@𝑦&𝑦^2&𝑧𝑥@𝑧&𝑧^2&𝑥𝑦) Ex 42, 9 By using properties of determinants, sPlease Subscribe here, thank you!!!Show that the surfaces z=\sqrt{x^{2}y^{2}} \text { and } z=\frac{1}10}\left(x^{2}y^{2}\right)\frac{5}{2} intersect at (3,4,5) and have a common tangent plan
Graph Of Z F X Y Geogebra
If Z X Yi And 2z 1 Z 2i Show That 3 X 2 Y 2 4 X Y Scholr
Show Hide 1 older comment Dane Kim on 14 Sep 18 (x,y) = x^2 y^2;Graph of a hyperbolic paraboloid The graph of the function $f(x,y)=x^2y^2$ More information about applet Example 2 Let $f(x,y,z) = x^2y^2z^2$Steps to graph x^2 y^2 = 4
Calculus Homework Help And Exam Questions Page 9
Update Ans Prove That X 2 Y 2 Z 2 Xy Yz Zx Always Positive
Please Subscribe here, thank you!!!Example 2 if x = 10 and y is 4 (10 4) 2 = 10 2 2·10·4 4 2 = 100 80 16 = 36 The opposite is also true 25 a 4a 2 = 5 2 2·2·5 (2a) 2 = (5 2a) 2 Consequences of the above formulasShow that (x 2 xy y 2), (z 2 xz x 2) and (y 2 yz z 2) are consecutive terms of an AP, if x, y and z are in AP sequences and series;
Prove That Y Z 2 Xy Zx Xy X Z 2 Yz Xz Zy X Y 2 Xyz X Y Z 3 Youtube
If X2 Y2 Z2 Xy Yz Xx O Prove That X Y Z Math Polynomials Meritnation Com
Show that c^2(t^2) x^2 y^2 z^2 is invariant under a change of frame Thread starter phosgene;Start date Oct , 12;In the twodimensional coordinate plane, the equation x 2 y 2 = 9 x 2 y 2 = 9 describes a circle centered at the origin with radius 3 3 In threedimensional space, this same equation represents a surface Imagine copies of a circle stacked on top of each other centered on the zaxis (Figure 275), forming a hollow tube
Solved If Z Xy X Ey X Show That X Z X Y Z Y Xy Chegg Com
1 Using Properties Of Determinants Prove The Following X Y Z X2 Y2 Z2 X3 Y3 Z3 Math Determinants Meritnation Com
SOLUTION 13 Begin with x 2 xy y 2 = 1 Differentiate both sides of the equation, getting D ( x 2 xy y 2) = D ( 1 ) , 2x ( xy' (1)y) 2 y y' = 0 , so that (Now solve for y' ) xy' 2 y y' = 2x y, (Factor out y' ) y' x 2y = 2 x y, and the first derivative as a function of x and y is (Equation 1)Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyIn the twodimensional coordinate plane, the equation x 2 y 2 = 9 x 2 y 2 = 9 describes a circle centered at the origin with radius 3 3 In threedimensional space, this same equation represents a surface Imagine copies of a circle stacked on top of each other centered on the zaxis (Figure 275), forming a hollow tube
Worked Example Implicit Differentiation Video Khan Academy
Verify That X3 Y3 Z3 3xyz 1 2 X Y Z X Y 2 Y Z 2 Z X 2 Brainly In
As $(x^2y^2z^2)= (xyz)^2 2(xyyzzx)$, $$(x^2y^2z^2)=\left(xyz\sqrt{2(xyyzzx)}\right)\left(xyz\sqrt{2(xyyzzx)}\right)$$ Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and
Partial Differential Equations
Solved 2 A Show That The Function Z In X2 Y2 2 Chegg Com
X Y Z Belong To R X Y Z 4 X 2 Y 2 Z 2 6 Find Maximum Possible Value Of Z Mathematics Topperlearning Com 2j1z7sww
3d Surface Plotter Academo Org Free Interactive Education
Surfaces Part 2
Using Properties Of Determinants Prove That Y X 2 Xy Zx Xy X Z 2 Yz Xz Yz X Y 2 2xyz X Y Z 3 Sarthaks Econnect Largest Online Education Community
14 1 Functions Of Several Variables Mathematics Libretexts
If Cos 1 X2 Y2 X2 Y2 Tan 1 A Prove That Dy Dx Y X Cbse Class 12 Learn Cbse Forum
Solved Y Z X2 Y2 22 3 2 Vector Fiekl 1 Find The G Chegg Com
If U Log X 2 Y 2 Z 2 Then Prove That X 2 Y 2 Z 2 D 2u Dx 2 D 2u Dy 2 D 2u Dz 2 1
X 2 Y 2 Z 2 Greater Than Xy Yz Xz Proof Important For Iit Jee Nda Scra Sat Competitive Exams Youtube
Grobner Bases And Their Applications Pdf Free Download
Calculus Iii Lagrange Multipliers
X Y Z 2 X 2 Y 2 Z 2 2 Yz Zx Xy Youtube
Ex 4 2 9 Show That X X2 Yz Y Y2 Zx Z Z2 Xy X Y Y Z
Show That If Z Xy Then Gz Gx Gy And If Z X Y Homeworklib
Level Set Examples Math Insight
How To Prove That Math X 2 Y 2 Z 2 Xy Yz Zx Math Is Always Positive Quora
Let Math X 2 Y Z Y 2 Z X Z 2 X Y Math What Is The Value Of Math Frac 1 1 X Frac 1 1 Y Frac 1 1 Z Math Quora
Partial Differential Equation Notes
Chapter 1 Maths 3
Let Math X 2 Y Z Y 2 Z X Z 2 X Y Math What Is The Value Of Math Frac 1 1 X Frac 1 1 Y Frac 1 1 Z Math Quora
Vector Analysis By Alimkanwalimtinaa Issuu
No comments:
Post a Comment