MAT 146
Quiz #4 (Integration Applications [I])
Name ________________________
15 points (see grading criteria)
Do Not Use a Calculator!
Impact on Course Grade: approximately 2%
Score ________________________
Show appropriate calculus evidence to fully support your responses.
Show exact values unless otherwise requested.
1. Use the method of substitution to evaluate
appropriate steps.
4
% cos (3x )!"sin (3x )#$
dx . Show all
_________________
2. Determine the exact area trapped in Quadrant I by y = 9 ! x 2 , y = 8 and x = 0 . Include a
sketch of the region and all appropriate calculation steps.
_________________
Grading Criteria
1) 4 pts: correct use of substitution and correct evaluation of the integral
2) 4 pts: correct set up and calculation of desired area; sketch included
3) 4 pts: accurate set up with all components included and correct
4) 3 pts: accurate and clear explanation with no calculations used in explanation; include a sketch