Let f ( x ) = { 2 x if − 2 ≤ x ≤ 1 x + 1 if 1 < x ≤ 3 g ( x ) = { x + 1 if − 3 ≤ x ≤ 2 2 x − 1 if 1 < x ≤ 3 Find f + q and its domain.
Let f ( x ) = { 2 x if − 2 ≤ x ≤ 1 x + 1 if 1 < x ≤ 3 g ( x ) = { x + 1 if − 3 ≤ x ≤ 2 2 x − 1 if 1 < x ≤ 3 Find f + q and its domain.
Solution Summary: The author explains that the functions f(x) and (g (x), are defined in certain ranges. The domain is the complete set of possible values of the independent variable.
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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