# epe1 - Exam I MAC 2312 Jan 30, 2003 S Hudson Name Show all...

This preview shows pages 1–4. Sign up to view the full content.

Exam I Jan 30, 2003 MAC 2312 S Hudson Name Show all your work. Use the space provided, or leave a note. Don’t use a calculator or your own extra paper. 1) Short calculations, 5 pts each. Simplify any easy terms like sin( π ) and e 0 . a) d dx [ R x 0 sec 2 ( t ) dt ] b) R 4 0 x + e x dx c) R 2 1 1 t dt d) R π/ 2 0 sin 2 x cos x dx 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
e) R 3 0 | x - 2 | dx = f) Find the average value of f ( x ) = x 3 on the interval [0,5]. g) R 4 0 dx 2 x +1 = h) R π 0 sin 2 3 x dx i) Find the area between the parabolas, y = 2 x - x 2 and y = 2 x 2 - 4 x . j) Use left-hand endpoints to ﬁnd A 2 for f ( x ) = sin( x ) on [0 , π/ 2]. 2
2) (10pts) Rosanne drops a ball from a height of 400 ft. The force of gravity is 32ft/s/s, which is the acceleration on the ball. So, the velocity is - 32 t (or, you might use 32 t ). a) Find a formula for the height of the ball h ( t ) after t seconds. Be sure to show all your work and reasoning, and check that h (0) = 400. b) How many seconds until the ball hits the ground? (This occurs when h=0, of course).

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## epe1 - Exam I MAC 2312 Jan 30, 2003 S Hudson Name Show all...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online