In Exercises 24–26 , for the given constant c and functions f ( x ) and g ( x ), answer the following: (a) Is the limit lim x → c f ( x ) g ( x ) of the form 0/0? (b) Find lim x → c f ( x ) g ( x ) . c = 1 , f ( x ) = 2 x 3 + x 2 − 3 x , g ( x ) = x 2 + 3 x − 4
In Exercises 24–26 , for the given constant c and functions f ( x ) and g ( x ), answer the following: (a) Is the limit lim x → c f ( x ) g ( x ) of the form 0/0? (b) Find lim x → c f ( x ) g ( x ) . c = 1 , f ( x ) = 2 x 3 + x 2 − 3 x , g ( x ) = x 2 + 3 x − 4
Author: Deborah Hughes-Hallett, William G. McCallum, Andrew M. Gleason, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, David Lovelock, Brad G. Osgood, Andrew Pasquale, Douglas Quinney, Jeff Tecosky-Feldman, Joseph Thrash, Karen R. Rhea, Thomas W. Tucker
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
=
5 37
A 4 8 0.5
06
9
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
Chapter 1 Solutions
Calculus: Single And Multivariable, 7e Student Solutions Manual
University Calculus: Early Transcendentals (4th Edition)
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