Evaluate the integral (12x + 6y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1). NOTE: Enter the exact answer. |(12r + 6y)dr + (9r – y)dy =|

Q: √ ² S ² (2y² + x² + 3) dy dx 0

A: Given integral, ∫02∫012y2+x2+3dydx The objective is to evaluate the integral.

Q: (zy+9)8 dydr

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

A:

Q: ind all the tangents to the curve y cos (x %3D

A: Here we have to find the tangents on the curve y=cos(x+y)...........(1)     , -2π≤x≤2π parallel to…

Q: - z²) – 2x + 30y = 0 da? What is the larger root from the indicial equation

A: Given differential equation, 1-x2d2ydx2-2xdydx+30y=0 Find the largest root from the indicial…