Solve the problem.Find the exponential function of the form f(x) = aebx that passes through the points 
.
A. f(x) = 3e[-(ln 2)/6]x
B. f(x) = 3e[(ln 2)/6]x
C. f(x) = 3e(6 ln 2)x
D. f(x) = 3e[(ln (1/2))/6]x
Answer: B
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Solve the problem.A pole of length L is carried horizontally around a corner where a 5-ft-wide hallway meets a 6-ft-wide hallway. For 0 < ? < 
, find the relationship between L and ? at the moment when the pole simultaneously touches both walls and the corner P. Estimate ? when L = 18 ft. Round the result to three decimal places. 
A. L = 5 cot ? + 6 tan ?; ? ? 0.300, 1.215 B. L = sec ? + 11 csc ?; ? ? 0.721, 1.425 C. L = 6 sec ? + 5 csc ?; ? ? 0.458, 1.060 D. L = 5 sec ? + 6 csc ?; ? ? 0.511, 1.113
Consider the initial value problem. Find the approximations of y(0.2) and y(0.4) using Euler's method with a time step of 
Then using the exact solution given, compute the errors in the Euler approximations at 
and 
Round answers to five decimal places, do not use intermediate rounding.y'(t) = 
, y(0) = 8; y(t) = 8et/8
A. 
; 
B. 
; 
C. 
; 
D. 
; 
Find the function value.Let f(x) = e-x. Find f(3.9), rounded to four decimal places.
A. 10.6013 B. 1.4347 C. 49.4024 D. 0.0202
Write the decimal as a fraction or mixed number in lowest terms.522.5460
A. 52
B. 5225
C. 522
D. 52,254