35. Exercises 25 − 36 refer to Fig. 23 , which contains the graph of f ' ( x ) the derivative of function f ( x ) . If f ( 0 ) = 3 , what is an approximate value of at f ( .25 ) ?
35. Exercises 25 − 36 refer to Fig. 23 , which contains the graph of f ' ( x ) the derivative of function f ( x ) . If f ( 0 ) = 3 , what is an approximate value of at f ( .25 ) ?
Solution Summary: The author explains how to determine the approximate value of f(.25) by using graphs.
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)
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