Find a Function F(x) with the Following Property: F'(x) = $x ^ { 6 }$

question 112

Multiple Choice

Find a function f(x) with the following property: f'(x) = $x ^ { 6 }$ + $\frac { x ^ { 4 } } { 3 }$ - $x ^ { 3 }$ + $\frac { 5 } { 3 }$ $x ^ { 2 }$ , f(0) = e.

• A) f(x) = 6 \(x ^ { 7 }\) + \(\frac { 4 } { 3 }\) \(x ^ { 5 }\) - \(3 x ^ { 4 }\) + \(\frac { 10 } { 3 }\) \(x ^ { 3 }\)
• B) f(x) = \(\frac { x ^ { 7 } } { 6 }\) + \(\frac { x ^ { 5 } } { 12 }\) - \(\frac { x ^ { 4 } } { 3 }\) + \(\frac { 5 } { 6 }\) \(x ^ { 3 }\) + ex
• C) f(x) = \(\frac { x ^ { 7 } } { 7 }\) + \(\frac { x ^ { 5 } } { 15 }\) - \(\frac { x ^ { 4 } } { 4 }\) + \(\frac { 5 } { 9 }\) \(x ^ { 3 }\) + e
• D) \(f(x)=7^{e^{7}}+\frac{5}{3 \mathrm{e}^{5}}-4^{e^{4}}+5^{e^{3}}\)

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Definitions:

Exculpatory Clauses

Provisions in a contract that release one party from liability for harm caused, typically found in waiver and release agreements.

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