Find F by Solving the Initial Value Problem $f ^ { \prime \prime } ( x ) = 8 x ^ { 2 } + 6 x + 4$

question 21

Multiple Choice

Find f by solving the initial value problem. $f ^ { \prime \prime } ( x ) = 8 x ^ { 2 } + 6 x + 4$ ; $f ( - 1 ) = - 7$ , $f ^ { \prime } ( - 1 ) = - 3$

• A) \(\frac { 8 } { 3 }\) \(x ^ { 4 }\) \(+ 3\) \(x ^ { 3 }\) + 4 \(x ^ { 2 }\) \(+ \frac { 2 } { 3 }\) x - 10
• B) \(\frac { 2 } { 3 }\) \(x ^ { 4 }\) \(+\) \(x ^ { 3 }\) + 2 \(x ^ { 2 }\) \(+ \frac { 2 } { 3 }\) x \(- 8\)
• C) \(\frac { 2 } { 3 }\) \(x ^ { 4 }\) \(+\) \(x ^ { 3 }\) + 2 \(x ^ { 2 }\) \(+ \frac { 2 } { 3 }\) x \(- 16\)
• D) \(\frac { 8 } { 3 }\) \(x ^ { 4 }\) \(+ 3\) \(x ^ { 3 }\) + 4 \(x ^ { 2 }\) \(+ \frac { 2 } { 3 }\) x - 5

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