Find a and k and then evaluate the function. Round your answer to three decimal places when necessary.f(x) =
with f(0) = 1 and f(1) = 0.5. Find f(2).
A. a = -2, k = ln(1.75), f(2) = 0.377
B. a = 2, k = ln(2.25), f(2) = 0.235
C. a = 2, k = ln(1.75), f(2) = 0.377
D. a = -2, k = ln(2.25), f(2) = 0.141
Answer: B
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Determine whether the nonincreasing sequence converges or diverges.an =
A. Diverges B. Converges
Using a sum or difference identity, write the following as an expression involving functions of x.tan
A. -tan x
B. tan x
C.
D.
A 30-ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 18 ft from the wall and sliding away from the wall at the rate of 3 ft/sec?
?
Hint: Refer to the accompanying figure. By the Pythagorean theorem, . Find
when
and
.
?
a = 30; b = 3
?
A. 4 ft/sec
B. ft/sec
C. ft/sec
D. 3 ft/sec
E. ft/sec
For the given vectors u and v, find the angle between them.u = , v =
A. 78.7° B. 56.1° C. 82.4° D. 7.6°