MATH 140 QUIZ 3 Name You must show your work for full credits. 1. Compute the derivative. a) D(In(sin(x))) b ) d (3+2 ) dt 2. Find the slope of the tangent line to the graph of (x,y) = (sin(t), t?) when t = 1. 3. Determine y' at (0,2) for yz +2y = sin(x)+8. 4. Find the speed of the object whose location at time t is (x, y) = (sin(t)+cos(t), sin(t)- cos(t) ) when t = 0 and t = 1 5. The height of a cylinder is increasing at 7 meters per second and the radius is increasing at 3 meters per second. How fast is the volume changing when the cylinder is 5 meters high and has a radius of 6 meters