Let f be a continuous function on R. Define F(x) = [² (2. = Evaluate F"(x). (x² – t) f(t) dt.

Differentiate the following function. r(t) = (te ~!,5t In t,t sin t)

Consider the function f(x) = x3 +4x² + 3. Find the points where the tangent line is horizontal. a) O (0,0) b) О (0, 3) 8 337 3' 27 3 1851 8' 512 c) O a o (G) (G) 33 131 2' 8 3 1851 8' 512 3 1797 8' 512 e) O

Let I f(w)dw = 3 and f(w)dw = -1 for an odd, continuous function f. What is O A. -2 О В. О O C. 2 O D. Cannot be determined