Sketch the graph and show all local extrema and inflection points.y = x + cos 2x, 0 ? x ? ?
A. Local minimum: 
; local maximum: 
Inflection points: 
and 
B. Local minimum: 
; local maximum: 
Inflection point: 
C. No local extrema.
Inflection point: 
D. Local minimum: (1.444, -0.246); local maximum: (0.126, 1.031)
Inflection points: (0.785, 0.393) and (2.356, 1.178)
Answer: A
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Solve the problem.Find the centroid of the region enclosed between the cone with equation 
and the plane with equation 
A. (
, 
, 
) = 
B. (
, 
, 
) = 
C. (
, 
, 
) = 
D. (
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Solve the problem.A nuclear scientist has a sample of 
of a radioactive material which has a half-life in hours. She monitors the amount of radioactive material over a period of 30 hours and obtains the following data. Use a graphing utility to fit an exponential function to the data. Round the values to the nearest thousandth. Then, use the function to predict the amount of material, rounded to the nearest tenth, remaining at 40 hours. 
.
A. y = 99.671e0.077x, 2168.7 mg B. y = 99.671e-0.077x, 6.7 mg C. y = 99.671e0.926x, 1.2 mg D. y = 99.671e-0.077x, 4.6 mg
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where t is time in seconds. Rewrite this expression in factored form.
A. (12 + 4t)(12 + 4t) B. (12 - 4t)(12 - 4t) C. (144 + 16t)(144 - 16t) D. (12 + 4t)(12 - 4t)
Decide whether the statement is true or false.The alternate exterior angles of two parallel lines cut by a transversal always have the same angle measure.
A. True B. False