V1-x /25-x-y Use cylindrical coordinates to evaluate , S zdz dy dx.

Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (4, -9)

A: Solution :-

Q: ndx + x[y² + lnx / dy ==

A: We have to solve the following differential equation                     ydx+x(y2+lnx)dy=0

Q: use Substitution method to Schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: The given differential equation is 3x-2y+1dx-x-2y-3dy=0.

Q: vn] An equation of the motion of the form s=80t-16r %3D represents an object thrown upward with…

A:

Q: Evaluate f" Na-*) /x² + y² dydx, using polar coordinate. -a

A:

Q: Evaluat lna %3D

A: the question is taken from calculus  and in which we have to  find the integral value of I now we…

Q: Convert the equation 5x2 + 2y? = 3z to spherical and cylindrical coordinates.

A: We have the following facts:

Q: Determine the moments of inertia of the Z-section about its centroidal x。- and yo-axes.

A: We have to find the moment of inertia about x axis any y axis .so the process is given below

Q: Write the equations in cylindrical coordinates. (a) 4x² + 4y² (b) 5z = 4x² 3x² + 3y² = 4y

A: The given equations are: (a) 5z=4x2+4y2 (b) 3x2+3y2=4y We have to convert the given equations into…

Q: Evaluate (2x - y) dx + (x + 2y) dy. C: x-axis from x = 0 to x = 4

A: To evaluate ∫C2x-y dx+x+2y dy. C: x-axis from x=0 to x=4