Evaluate xy dx + (x + y)dy along the curve y = 3x? from (-2,12) to (1,3). с xy dx + (x + y)dy = 0 xy dx + с (Type an integer or a simplified fraction.)
6. [5 marks] Find and classify all stationary points of f(x,y) xy+2xy 7. [6 marks] Sketch the region of integration and evaluate the iterated integral 2 r2 JC 10 (y+xy-2) dxdy. 6. [5 marks] Find and classify all stationary points of f(x,y) xy+2xy 7. [6 marks] Sketch the region of integration and evaluate the iterated integral 2 r2 JC 10 (y+xy-2) dxdy.
Using Change of Variables..Evaluate ∫∫ R 15y/x dA where R is the region bounded by xy = 2, xy = 6 , y = 4 and y =10 usingthe transformation x=v , y=2u/3v.
mx 'e'dVR Evaluate is bounded by 2 - xy, 2-0, y = x, y = 0. and x=1. mzdV R is bounded by z - Vy? -98°, z = 0, y = 3x, x = 0, and y=9.
1. Write a code to draw a ‘mesh' graph of following function f(x,y)= xy x > 0, y 0 xy2 x 20, y = 0 x<0, y=0 (x?y2 x <0, y < 0 x? y Hint) You need to use “meshgrid', ‘for’and ‘if' commands (30 points)
This Quiz: 5 pts possi Let f(x,y)=xy* . 9. Evaluate at (xy)=(4,1) and interpret the results ay (4.1)= (Simplify your answer) Interpret the results. Choose the correct answer below O A. At (4.1), fix y) changes at a ratetimes the change in y OB. Al (4.1), fox.y) changes at a rate times the change in x OC. At (4.1), y increases at a ratetimes the change in x OD. At (4.1), x increases at a ratetimes the change in y...
Evaluate. Line x = e Curve y = sqrt(ln(x)) xy dx dy y=0 y g = 4² Hey4
no.5 --- yu. x + 2y dxdy - 5) Evaluate c (x + xy + x)ds along the curve parameterized by F(t) = (t, 2t, 3 - 2t): 0 st 55
Find dy if 2y3/2 + xy - x=0. Find dy if xy2 - 4x3/2 - y = 0
3. Use the transformation u = xy, v = y to evaluate the integral ∫∫R xy dA, where R is the ay region in the first quadrant bounded by the lines y = x and y = 3x, and the hyperbolas xy = 1, xy = 3