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jessewilkerson2312
08.02.2021 •
Mathematics
The function f(t) is graphed below: [please excuse my poor recreation]
Define ![h(x) =\int\limits^x_0 {f(t)} \, dt](/tpl/images/2131/0939/32afb.png)
Then, which of the following is are true?
I. h'(3) >0
II. h'(x) has a relative maximum at x = 2
III. h(x) has a relative maximum at x = 5
A. I only
B. II only
C. III only
D. II and III only
E. None of these statements are true
Solved
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Ответ:
A. g(x) = 8(2ˣ)
g(x) = (2³)(2ˣ)
g(x) = 2ˣ⁺³
The answer is not A.
B. g(x) = 4096(16ˣ⁻³)
g(x) = (16³)(16ˣ⁻³)
g(x) = 16ˣ
The answer is B.
C. g(x) = 4(4ˣ)
g(x) = 4ˣ⁺¹
The answer is not C.
D. g(x) = 0.0625(16ˣ⁺¹)
g(x) = (16⁻¹)(16ˣ⁺¹)
g(x) = 16ˣ
The answer is D.
E. g(x) = 32(16ˣ⁻²)
g(x) = (2⁵)(2⁴ˣ⁻⁸)
g(x) = 2(⁴ˣ⁻³)
The answer is not E.
F. g(x) = 2(8ˣ)
g(x) = 2(2³ˣ)
g(x) = 2³ˣ⁺¹
The answer is not F.
The answer is B and D.