In Exercises 1–4, use the given table of values to estimate, for the given value of a, each of the following if they exist: (a) lim x → a − f ( x ) (b) lim x → a + f ( x ) (c) lim x → a f ( x ) (d) f ( a ) if it is defined [HINT: See Example 1-3 ] a = 2 ; table of values: x 1.9 1.99 1.999 1.9999 2 2.0001 2.001 2.01 2.1 f ( x ) –5.975 –5.9975 –5.99975 –5.999975 –4 440,000 44,000 4,400 440
In Exercises 1–4, use the given table of values to estimate, for the given value of a, each of the following if they exist: (a) lim x → a − f ( x ) (b) lim x → a + f ( x ) (c) lim x → a f ( x ) (d) f ( a ) if it is defined [HINT: See Example 1-3 ] a = 2 ; table of values: x 1.9 1.99 1.999 1.9999 2 2.0001 2.001 2.01 2.1 f ( x ) –5.975 –5.9975 –5.99975 –5.999975 –4 440,000 44,000 4,400 440
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 10 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
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