Question 2 Find the area of the parallelogram formed by the vectors: U<-44-2> and v<6,7,-2> Round...
1. a) Find the area of the region D which is the parallelogram with vertices 00), 0, 2.2) b) Transform D to a rectangle, T(D), in u and v. Find the area of T(D) and (Area of D (Area of T(D)). Also find the Jacobian of the transformation. e) Evaluate JI (4x -3y)sec (4x +3y)dA
1. a) Find the area of the region D which is the parallelogram with vertices 00), 0, 2.2) b) Transform D to a rectangle, T(D),...
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)...
The area of the parallelogram formed by vectors a=(−1,3,1) and b=(1,2,0), rounded to one decimal, is: Select one: a. 5.4 b. 5.5 c. -6.0 d. none of above Find the component of the vector with initial point (2,−1,1) and terminal point (4,3,−6): Select one: a. (2,4,−7) b. (6,3,−5) c. (8,−3,−6) d. (−2,−4,7) Determine whether the statement is True or False: The sum of two invertible matrices of the same size must be invertible. Select one: a. True b. False Determine...
1 point) Show that Φ(u, u) (Au + 2, u-u, 7u + u) parametrizes the plane 2x -y-z = 4, Then (a) Calculate Tu T,, and n(u, v). þ(D), where D = (u, u) : 0 < u < 9,0 < u < 3. (b) Find the area of S (c) Express f(x, y, z in terms of u and v and evaluate Is f(x, y,z) ds. (a) Tu n(u,v)- T, (b) Area(S)- (c) JIs f(z, y,2) ds-
1 point)...
Question 26 Find the value of h that makes the vectors u 3 and v= 2 orthogonal. Work must be shown for this question. O -3 Question 27 Find the value of h that makes the vectors u= and y = 2 orthogonal. Work must be shown for this question. 0-1 o-2
Previous Problem List Next (1 point) Find a set of vectors {u, v} in R4 that spans the solution set of the equations: x 5x - + y 2y + - W W = = 0 0 - Z u = V =
find the angle (in degrees) between the vectors u=5i-j and v=2i+3j. Round the answer tot at least one decimal place if possible. show all work.
Previous Next Question 5 of 8 (1 point) 6.1 Section Exercise 44 Find the z value that corresponds to the given area in the figure below. Use Table E and enter the answer to 2 decimal places. (Note: Figure not drawn to scale.) 0.0082
Question 4 Given vectors u = i + 3j and v = 21-5j, find 1.- v 2. u-v uz saved at
Find the angle between the vectors. (Round your answer to three decimal places.) u = (-3, 4), v = (-1, 2) 0 = radians