For all exercises in this exercise set, use a graphing calculator. Find the accumulated present value of each continuous income stream at rate R ( t ) , for the given time T and interest rate k , compounded continuously. R ( t ) = $ 250 , 000 , T = 18 yr , k = 4 %
For all exercises in this exercise set, use a graphing calculator. Find the accumulated present value of each continuous income stream at rate R ( t ) , for the given time T and interest rate k , compounded continuously. R ( t ) = $ 250 , 000 , T = 18 yr , k = 4 %
Solution Summary: The author calculates the accumulated present value of the continuous income stream 250,000 invested for 18 years at interest rate 4% compounded continuously.
For all exercises in this exercise set, use a graphing calculator.
Find the accumulated present value of each continuous income stream at rate
R
(
t
)
,
for the given time T and interest rate k, compounded continuously.
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?
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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