A function and its graph are given. Use the second derivative to determine intervals on which the function is concave down. Check these results against the graph shown.

?
 
?

A.
B.
C.
D.  or 
E.


Answer: C

Mathematics

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Find the indicated derivative.Find y " if y = -3 cos x.

A. y " = 3 sin x B. y " = -3 sin x C. y " = -3 cos x D. y " = 3 cos x

Mathematics

Simplify using the product rule.45 ? 43

A. 48 B. 415 C. 1615 D. 168

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Convert the polar equation to a rectangular equation.r = 

A. 3y2 - x2 + 16 = 0 B. 3x2 - y2 + 16 = 0 C. 3y2 - x2 -16y + 16 = 0 D. 3x2 - y2 -16x + 16 = 0

Mathematics

Solve the problem.The following numerical representation for f computes the average number of hours of television watched per day based on year of birth x.Give a numerical representation for a function g that computes the average number of hours of television watched per day for the year x, where  corresponds to the birth year 1975. Write an equation that shows the relationship between f(x) and g(x).

A.
f(x) = g(x - 1900)
B.
f(x) = g(x + 1975)
C.
f(x) = g(x - 1975)
D.
f(x) = g(x) - 1975

Mathematics