This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Math 170007 Homework 11/30A Fall 2010 1. The graph of a function is shown at right.
You can assume that the curved portion of the
graph is a semicircle. The function measures
force, in units of lbs, with input measured in
feet.
4 (a) Compute f (x) dx.
0 Use any methods, but give correct units.
8 (b) Compute f (x) dx.
2 Use any methods, but give correct units. 2. Graph the function A(r ) = 4 − r 2 on the domain 0 ≤ r ≤ 1. Scale your r axis so that there
are at least ten tickmarks between 0 and 1. Assume that the function A measures area in
units of in2 , and that r is measured in feet. Estimate
1 A(r ) dr
0 Use at least ten rectangles to compute your estimate. Make sure your answer has correct
units.
3. The table shows values of a function of time, f (t). Units are indicated in the table. Estimate
20 f (t) dt
0 Use at least ten rectangles to compute your estimate. Make sure your answer has correct
units.
t (s)
f (◦ R/s2 ) 0
2
4
.16 .09 .03 6
−.02 8
19
−.06 −.09 12
−.11 14
−.12 16
18
−.12 −.11 4. From Schaum’s Outline, Chapter 23: Problems 14 and 11. (In that order). 20
−.09 5. After you ﬁnish problem 11 from Schaum’s, compute each of
1√
(a) 0 5 1 − x2 dx.
√
1
(b) 0 x + 1 − x2 dx.
√
0
(c) 1 2x − 3 + 1 − x2 dx.
6. Suppose that f is a function of x and you are given:
5 7 f (x) dx = 6, 10 f (x) dx = 2.5, 2 5 Compute
(a)
(b)
(c) 7
f (x) dx
2
10
f (x) dx
7
10
f (x) dx
5 Hints and Answers
1. (a) π + 4 ≈ 7.14 ft·lbs. (b) 8 ft·lbs.
2. Approx 3.7 in2 ·ft; or approx 44.4 in3 .
3. Approx −0.70 ◦ R/s.
5. (a) 5π/4; (b) 1/2 + π/4; (c) 2 − π/4.
6. (a) 8.5; (b) −4.5; (c) −2. and f (x) dx = 4
2 ...
View
Full
Document
This note was uploaded on 10/11/2011 for the course MATH 170 taught by Professor Staff during the Spring '08 term at Boise State.
 Spring '08
 STAFF
 Math, Calculus

Click to edit the document details