Research and Development: Industry (Refer to Exercise 79.) The function S ( t ) inExercise 79 can also be written (approximately) as S ( t ) = 29 ln ( 286 t + 2 , 860 ) billion dollars ( − 8 ≤ t ≤ 2 ) , wherethis time t is the year since 2010. Use this alternative formula to estimate the amount spent in 2010 and its rate of change, and check your answers by comparing them with those in Exercise 79.
Research and Development: Industry (Refer to Exercise 79.) The function S ( t ) inExercise 79 can also be written (approximately) as S ( t ) = 29 ln ( 286 t + 2 , 860 ) billion dollars ( − 8 ≤ t ≤ 2 ) , wherethis time t is the year since 2010. Use this alternative formula to estimate the amount spent in 2010 and its rate of change, and check your answers by comparing them with those in Exercise 79.
Solution Summary: The author calculates the total spent by the industry in 2010 by substituting t=0 in the function S(t).
Research and Development: Industry (Refer to Exercise 79.) The function
S
(
t
)
inExercise 79 can also be written (approximately) as
S
(
t
)
=
29
ln
(
286
t
+
2
,
860
)
billion dollars
(
−
8
≤
t
≤
2
)
,
wherethis time t is the year since 2010. Use this alternative formula to estimate the amount spent in 2010 and its rate of change, and check your answers by comparing them with those in Exercise 79.
Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below.
Let g(x) = √ƒƒ(t) dt .
0
3
2
-2
2
4
5
6
7
8
9
10
11
12
13
14
15
1. g(0) =
2. g(2) =
3. g(4) =
4. g(6) =
5. g'(3) =
6. g'(13)=
The expression 3 | (3+1/+1)
of the following integrals?
A
Ов
E
+
+
+ +
18
3+1+1
3++1
3++1
(A) √2×14 dx
x+1
(C) 1½-½√ √ ² ( 14 ) d x
(B) √31dx
(D) So 3+x
-dx
is a Riemann sum approximation of which
5
(E) 1½√√3dx
2x+1
2. Suppose the population of Wakanda t years after 2000 is given by the equation
f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000
people? Show all your work, round your answer to two decimal places, and include units. (4
points)
Chapter 11 Solutions
Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th
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