Sketching an Image of the Unit Square In Exercises 23–30, sketch the image of the unit square [a square with vertices at (0, 0), (1, 0), (1, 1), and (0, 1)] under the specified transformation.
T is the contraction represented by T(x, y) = (x, y4).
Sketching an Image of the Unit Square In Exercises 23–30, sketch the image of the unit...
Sketching a Curve In Exercises 9-12, sketch the curve represented by the vector-valued function and give the orientation of the curve. 2 9. r(t) = (n cost, i sin ) 10. r(t) = (1 + 2.12 - 1) 11. r(t) = (1 + 1)i + (31 - 1)j + 2tk 12. r(t) = 2 cos ti + tj + 2 sin tk 29 12. r(t) = 2 cos ti + tj + 2 sin tk
Consider the transformation x = v cos :2πu, y =v sin 2πι. (a) Describe the image S under T of the unit square R = {(u, v) | 0 1,0 << 1 u (b) Find the area of S. Consider the transformation x = v cos :2πu, y =v sin 2πι. (a) Describe the image S under T of the unit square R = {(u, v) | 0 1,0
tks for the help (thumb) 7. (a) . Illustrate diagram the image of the unit square on a 1,0 y 1 {(r,y) 0 when transformed by T : R2 direction ii. From your diagram or otherwise specify R2, where T is a shear 2 units in the r 0 and T T ii. Let Ar denote the standard matrix of T. Give det Ar 1 geometrical why reason a . Give a geometrical description of the linear transformation S: R2...
please answer ASAP thank you sketch the function Math 1730 Test 3: Curve Sketching Name 1) Sketch the function () based on the following criteria: 20-points f(x) Domain: (-,0)(0,) limf(x)-0, lim/(x) = 0 Points: (-1,0), (-12,-0.33) (x)-12 , 3x2 (x + 4)s 4(x2 +24x+ 72) 9x(x +4) f" (x) = We were unable to transcribe this image Math 1730 Test 3: Curve Sketching Name 1) Sketch the function () based on the following criteria: 20-points f(x) Domain: (-,0)(0,) limf(x)-0, lim/(x)...
Question 19: Linear Transformations Let S = {(u, v): 0 <u<1,0 <v<1} be the unit square and let RCR be the parallelogram with vertices (0,0), (2, 2), (3,-1), (5,1). a. Find a linear transformation T:R2 + R2 such that T(S) = R and T(1,0) = (2, 2). What is T(0, 1)? T(0,1): 2= y= b. Use the change of variables theorem to fill in the appropriate information: 1(4,)dA= S. ° Sºf(T(u, v)|Jac(T)| dudv JA JO A= c. If f(x, y)...
Type ordered pairs. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed Let S = {0 sus 1, 0 SVS 1} be a unit square in the uv-plane. Find the image of S in the xy-plane under the following transformation. V T: x=3u, y= 4 with vertices at The image of S is the (Type ordered pairs. U for any numbers in the expression. Use a comma to separate answers as...
Problem 1. Make a sketch of the infinite strip 0< < 1. Then, find and sketch its image under the transformation w-12. În all these problems, z x + iy.
Please answer question 11 and 12 Thanks 11. Find the image of the line y = 3x +1 under the translation /4 12. Given T (x, y, z) = (x + y, Y-z) a. Find the domain and codomain of the transformation. /2 b. Find the image of (4, 1,-1) under T. /1 c. Find the matrix associated to this transformation. /2 d. Prove that T is linear transformation. /4
(7) Let 0くa 〈 b 〈 c 〈 d for a,b,c,d R. Consider the set and let D be the region in the r-y plance that is the image of S under the variable transformation (a) Sketch D in the x-y plane for the case ad - bc > 0. (a) Sketch D in the z-y plane for the case ad-bc 〈 0. (c) Calculate the area of D. Show all working. (7) Let 0くa 〈 b 〈 c 〈...
In Exercises 21-22, give the equation of the line that is the intersection of the given planes. 21. p1: 3(x-2) +(y 1)+4z 0, and p2: 2(x-1)-2(y+3) +6(2-1) 0 In Exercises 23-26, find the point of intersection between the line and the plane. 26. line: (1,2, 3) +t (3, 5,-1), plane: 3x-2y- z=-4 In Exercises 27-30, find the given distances. 27. The distance from the point (1, 2,3) to the plane 3(x-1)+(y 2)+5(2-2) 0. In Exercises 21-22, give the equation of...