Flag question Find the Jacobian () of the most appropriate transformation to evaluate ey-3x dA y+2x...
QUESTION 4 Use the appropriate transformation to evaluate SX (2x + y)(x - y)dA where R is the region bounded by the line y = 4 - 2x, y = 7 - 2x, y = x - 2 and y = x +1. (8 marks)
1. Evaluate the iterated integrals: x2+2x+y a. JR 3x+3y dA, R: 15x32,0 sys 1 (Hint: Simplify the integrand first.) b. S ey/*dA where R is the region in the xy-plane bounded between y = x2 and y = x over the interval 1sx52. c. So Sex Sx**2 x dydzdx
Question 6 (3 points) a -- 2 points) Find the Jacobian of the transformation the shear transformation: x = au + bv + cw, y=dy + ew, and z fw, where a, b, c, d, e, and f are positive real numbers, and describe the how the volume of the unit cube in uvw coordinates compares to the volume of its transformation in Cartesian coordinates. = b -- 1 point) State one example of a practical application shown in lecture...
002 10.0 points Find the Jacobian of the transformation T: (r, 0) + (x, y) when x = e" cose, y = 2e-" sin . 1. O(x, y) = 2 cos 20 a(r, 0) 2. 8(x, y) a(r, 0j = -3e2r 2(x, y) a(r, 0) = -2 cos 20 4. (x, y) = 2 4. Əlr, o) 5. 0(x, y) = 3er cos 20 5. Ə(r, ) 2(x, y) - 2.21 DA a(r, 0) = -3e4
Question 18 Not yet answered You have the following data: 2x = 36. Ey = 37, Exy = 245, Er? = 246, Ey? = 249, n=6. Marked out of 200 F Flag question these data illustrate the relationship between the number of rooms (X) and the amount of electricity consumed (™) per thousand kilowatts. Find the equation of the regression line between the number of rooms (X) and the amount of electricity consumed (Y). Select one: O AY = 0.77...
Question 5 Not yet answered Marked out of 12.00 P Flag question Evaluate the following integral cos(3x) y = 502 dx 4. r Select one: O a. y=-1 O b.y= -3 O c.y = 3 4 O d. y = 7 12
Find the absolute extrema of the function on the closed interval. y= 3x^2/3- 2x, [-1, 1] 3. [-16 Points] DETAILS LARCALC11 3.1.029. Find the absolute extrema of the function on the closed interval. y = 3x2/3 - 2x, (-1, 1] minimum (x, y) = maximum (x, y) = Show My Work (Optional) Submit Answer View Previous Question Question Home My Assignments Copyright © 2020 Cengage E Type here to search a
Question 5 Not yet answered Marked out of 3.00 Flag question x + y lim (x,y)+(-1,1) 322 5xy - 8y2 Select one: A. -11 B. None of these answers C.-5 D. E. - 1 11
a. Find the Jacobian of the transformation x = u, y = 4uv and sketch the region G: 1 s u s 2.4 s4uvs 8, in the uv-plane. b. Then usef(x.y) dx dy-f(g(u.v),h(u.v)|J(u,v)l du dv to transform the integral dy dx into an integral over G, and evaluate both integrals a. Find the Jacobian of the transformation x = u, y = 4uv and sketch the region G: 1 s u s 2.4 s4uvs 8, in the uv-plane. b. Then...
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...