3. The function w(x, y, z) = e-3 sin(8y) 27 where X = In (t³ - 2) Find d as a function of t. dt Y = t-2 2 T 20 5 and 22 = cos(2t+3).

Q: dt cos?(t) V5 + tan(t)

A:

Q: = cos(4t + 12)

A:

Q: find dy/dt.

A:

Q: Find r'(t). cos 4 cos³(t)i + 2 sin³ (t)j + k r(t) = 4

A:

Q: 3y?r + sin(2y – 4) = V(2y)

A:

Q: y = tan (5t - 21 +1)

A:

Q: Find f. f "(t) = 2et + 5 sin t, f(0) = 0, f(x) = 0 f(t) =

A: We can solve the given problem using the concept of application of integral.

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We have to find the derivative

Q: Find f. f(t) =|| f"(t) - 3et+ 5 sin t, f(0) = 0, f(T) = 0

A: To find f.f''t=3et+5 sin t, f0=0, fπ=0

Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation

Q: You deposit $2000 in an account with an annual interest rate of r (in decimal form) compounded…

A: Please refer to the solution in next step.