Evaluate the following integral in cylindrical coordinates. 5 342/29-x² -x2 -y dy dx dz 5 3/2 /2 9-x² e -x2 -y dy dx dz = (Simplify your answer. Type an exact answer, using x as needed.)

Q: y = In x3 sinx 2 Cx² + 4

A: The function is given by y = lnx3sinxx2+4 To evaluate: The expression of dydx.

Q: 2. Use cylindrical coordinates to evaluate √√9-x² 9-x²-y² [dz x² dz dy dx. √9-x2 0

A:

Q: iven: v(t)=t"-2t in m Iscc where os ts find the displacement of this objcct

A: Find the particle's displacement by integrating velocity function:

Q: d) y = sin*(x'/3) + arctan(r?)

A:

Q: 2. Find (in terms of t): x = 2 + 3 sin t y = -1+4 cos t

A: Given data is : x=2+3 sinty=-1+4 cost To find the value of d2ydx2

Q: Suppose the velocity of a particle is given by v(t) = (sin(4t), 3 cos(t), 4t³). Find the…

A: Suppose the velocity of a particle is given by v(t) = (sin(4t), 3 cos(t), 4t³). Find the…

Q: 1 dx = arcsec(x – 3) + c - (х — 3) Vx? — 6х + 8 6x + 8 -

A: