Find: Q = j 0 ra In (ax) 72 Σπ j=0 1-1 Στ 1=0 dx ;0

X Y Suppose w = + where Y 2 5t x = e5 t, y = 2 + sin (4t), and z = 2 + cos (3t). A) Use the chain rule to find d as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite est as x. dw dt Note: You may want to use exp() for the exponential function. Your answer should be an expression in x, y, z, and t; e.g. "3x - 4y" B) Use part A to evaluated when t = 0. =

1) Find the indefinite integral S(3x* – 6vx + 3 cos x – 4e*)dx. 2) Find S 4(sin(6 sin x + x² + Vx)) (6cos x + 2x +) dx. Hint: let u = 6 sin x + x² + x.