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(1.5), f(2) = 0.545
B. a = 2, k = ln(2.5), f(2) = 0.222
C. a = -2, k = ln(1.5), f(2) = 0.545
D. a = -2, k = ln(2.5), f(2) = 0.074
Answer: B
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Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.f(x) = 0.1x5 + 5x4 - 8x3- 15x2 - 6x - 6
A. Approximate local maxima at -41.176 and -0.359; approximate local minima at -0.601 and 1.996 B. Approximate local maxima at -41.228 and -0.266; approximate local minima at -0.638 and 1.959 C. Approximate local maxima at -41.226 and -0.211; approximate local minima at -0.476 and 1.881 D. Approximate local maxima at -41.132 and -0.273; approximate local minima at -0.547 and 1.952
Use the graph to evaluate the limit.
f(x)
A. 0 B. does not exist C. -2 D. 2
Solve.The weight of an object on the Earth's surface is inversely proportional to the square of its distance from the center of the Earth. An object weighs 1100 pounds on the Earth's surface. This is approximately 4000 miles from the center of the Earth. How much would this object weigh 4800 miles from the center of the Earth? (Round to the nearest tenth of a pound.)
A. 1584 pounds B. 763.9 pounds C. 1004.2 pounds D. 916.7 pounds
Use a ruler, protractor, and compass to construct, when possible, a triangle with the stated properties. Determine whether one triangle can be constructed, two or more noncongruent triangles can be constructed, or no triangle can be constructed.A triangle with sides of length 7 cm and 13 cm and an angle of 86°.
A. No triangle can be constructed. B. Exactly one triangle can be constructed. C. Two or more noncongruent triangles can be constructed.