Question

Suppose the function $p(x)$ satisfies $p(5) = 11$, $p'(5) = 1$, and $p''(x) < 0$ for $x$ values nearby 5. (a) Find the linearization $L(x)$ of $p(x)$ at $x = 5$. (a) (b) Estimate the value of $p(5.03)$ using your linearization. (b) (c) Is your estimate an overestimate of the actual value, or an underestimate? Choose the appropriate answer. Overestimate Underestimate

          Suppose the function $p(x)$ satisfies $p(5) = 11$, $p'(5) = 1$, and $p''(x) < 0$ for $x$ values nearby 5.
(a) Find the linearization $L(x)$ of $p(x)$ at $x = 5$.
(a)
(b) Estimate the value of $p(5.03)$ using your linearization.
(b)
(c) Is your estimate an overestimate of the actual value, or an underestimate? Choose the appropriate answer.
Overestimate
Underestimate

Suppose the function p(x) satisfies p(5) = 11, p'(5) = 1, and p”(x) < 0 for x values nearby 5.
(a) Find the linearization L(x) of p(x) at x = 5.
(a)
(b) Estimate the value of p(5.03) using your linearization.
(b)
(c) Is your estimate an overestimate of the actual value, or an underestimate? Choose the appropriate answer.
Overestimate
Underestimate

Added by Alex B.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Suppose the function pxsatisfies p5=11,p5=1,and px<0 forx values nearby 5 aFind the linearization Lxof p(xat x=5. (a) (b) Estimate the value of p(5.03) using your linearization (b) (c Is your estimate an overestimate of the actual value,or an underestimate? Choose the appro- priate answer. Overestimate Underestimate