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Consider the following function. f(x) = (sin⁡(x))sin⁡(x) (a) Graph the function. (b) Explain the shape of the graph by computing the limit as x→0+. limx→0+ f(x) = (c) Use calculus to find the exact maximum and minimum values of f(x). (If an answer does not exist, enter DNE.) (d) Use a computer algebra system to compute f′′. Then use a graph of f′′ to estimate the x-coordinates of the inflection points. (Round your answer to two decimal places.) smaller value x = larger value x =

Consider the following function. f(x) = (sin⁡(x))sin⁡(x) (a) Graph the function. (b) Explain the shape of the graph by computing the limit as x→0+. limx→0+ f(x) = (c) Use calculus to find the exact maximum and minimum values of f(x). (If an answer does not exist, enter DNE.) (d) Use a computer algebra system to compute f′′. Then use a graph of f′′ to estimate the x-coordinates of the inflection points. (Round your answer to two decimal places.) smaller value x = larger value x =

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Consider the following function.
f ( x ) = ( sin ⁡ ( x ) ) sin ⁡ ( x )
(a) Graph the function. (i) (i) (b) Explain the shape of the graph by computing the limit as x → 0 + . lim x → 0 + f ( x ) = ◻ (i) (c) Use calculus to find the exact maximum and minimum values of f ( x ) . (If an answer does not exist, enter DNE.) ◻ ◻ (d) Use a computer algebra system to compute f ′ ′ . Then use a graph of f ′ ′ to estimate the x -coordinates of the inflection points. (Round your answer to two decimal places.) smaller value x = ◻ larger value x = ◻

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