Study Guides (380,000)
US (220,000)
MATH (20)
All (8)
Midterm

MATH 165 Ball State Exam3Review165 SolutionExam


Department
Mathematical Sciences
Course Code
MATH 165
Professor
All
Study Guide
Midterm

This preview shows half of the first page. to view the full 1 pages of the document.
Maths 165
Review Sheet 3
Answers
1. 9.99
2. 9.99
4. y=xis a slant asymptote (as x→ −∞)
5. When x= 1,000/3, then P(x) = ...
6. 2.68269579
7. 1.01395761
8. 16
5
9. (a) -1
2
(b) 2
(c) 2
(d) e1/2
10. (a) Absolute max = 7. Absolute min
=9.
(b) Abs. max = 4e2. Abs. min = 0.
(c) Abs. max 0. Abs. min = 6.
11. f(x) = 0 at x=1
3and f(x) d.n.e. at
x= 0.
12. 4 f(4) 16.
13. It does not contradict the Mean Value
Theorem!
14. (a) Increasing on (−∞,1
3)(1,) and
decreasing on (1
3,1). Local max at x=1
3. Local
min at x= 1.
(b) Increasing on (2,2
5) and decreasing on
(−∞,2) (2
5,). Local min at x=2, Local
max at x=2
5.
(c) Decreasing on (−∞,0) and increasing on
(0,). Local min at x= 0.
(d) Increasing on (π, π
2)(0,π
2) and
decreasing on (π
2,0) (π
2, π). Local max at
x=±π
2and local min at x= 0.
15. It is always concave up. No inflection
points!
16. About 2.33 hours.
17. 2.
18. f(x) = 3ex5 sin(x) + 4x2.
19. (a) v(t) = 80 40tand x(t) = 80t20t2.
(b) No.
20. (a) p(t) = 100e³tln 2
1.4×104´
(b) p(4.3×104) = 100e³(4.3) ln 2
1.4´11.896 mg
You're Reading a Preview

Unlock to view full version