Q1

5/3/9

Solve y' = 5sinx - 5x4 + 12e 4X , given that the solution passes through the point (0, 12). a.) y = 5cosx -x x5 -3e - 4X + 10 O O b.) y = - 5cosx -x + 12e - 4X +20 c.) y= - 5cosx -x -3e - 4X + 20 O d.) y = 5cosx -x + 12e 4x - 5 OFind the average value and the value(s) of c guaranteed by the mean '1 "I..- value theorem for integrals if flit) ._-. 3:-; over the interval [- 1,2. Use an appropriate formula to find the following indefinite integral: tan (5x)dx a.) 1 O 10 -tan (5x) + In|cos(5x)| + c O b.) tan?(5x) + 2 In|cos(5x)| + c C.) O -tan (5x) + 10x 5x In| cos(5x) | + c d.) O 10 tan?(5x) + In(cos(5x)) +c\"I '1 Estimate the value of ,, d); by using n = 4 subintervals of 0 1-;\"+l equal width using the mpezoidal rule. Round the final result to five decimal places