The function h(x)is a continuous differentiable function whose graph is drawn below.The accompanying table provides some information about h(x)and its derivatives. $$\begin{array} { c c c c c }
\boldsymbol { x } & \boldsymbol { h } ( \boldsymbol { x } ) & \boldsymbol { h } ^ { \prime } ( \boldsymbol { x } ) & \boldsymbol { h } ^{ { \prime }{ \prime }} ( \boldsymbol { x } ) & \boldsymbol { h } ^ {{ \prime }{ \prime } { \prime } } ( \boldsymbol { x } ) \
0 & 2 & 1 & 0.50 & 0.25 \
1 & 3.29 & 1.64 & 0.82 & 0.41 \
2 & 5.43 & 2.71 & 1.35 & 0.67 \
3 & 8.96 & 4.48 & 2.24 & 1.12
\end{array}$$ h(x), h'(x), h"(x)and h"'(x)are all increasing functions.Suppose we use a tangent line approximation at zero to approximate h(0.1).Find a good upper bound for the error.
A)0.0025
B)0.0820
C)0.1066
D)0.1558

Question

The function h(x)is a continuous differentiable function whose graph is drawn below.The accompanying table provides some information about h(x)and its derivatives.  $$\begin{array} { c c c c c } 
\boldsymbol { x } & \boldsymbol { h } ( \boldsymbol { x } ) & \boldsymbol { h } ^ { \prime } ( \boldsymbol { x } ) & \boldsymbol { h } ^{ { \prime }{ \prime }}  ( \boldsymbol { x } ) & \boldsymbol { h } ^ {{ \prime }{ \prime } { \prime } }  ( \boldsymbol { x } ) \
0 & 2 & 1 & 0.50 & 0.25 \
1 & 3.29 & 1.64 & 0.82 & 0.41 \
2 & 5.43 & 2.71 & 1.35 & 0.67 \
3 & 8.96 & 4.48 & 2.24 & 1.12
\end{array}$$ h(x), h'(x), h"(x)and h"'(x)are all increasing functions.Suppose we use a tangent line approximation at zero to approximate h(0.1).Find a good upper bound for the error.
A)0.0025 
B)0.0820 
C)0.1066 
D)0.1558

Quizplus · Accepted Answer

The Answer of The function h(x)is a continuous differentiable function whose graph is drawn below.The accompanying table provides some information about h(x)and its derivatives.  $$\begin{array} { c c c c c } 
\boldsymbol { x } & \boldsymbol { h } ( \boldsymbol { x } ) & \boldsymbol { h } ^ { \prime } ( \boldsymbol { x } ) & \boldsymbol { h } ^{ { \prime }{ \prime }}  ( \boldsymbol { x } ) & \boldsymbol { h } ^ {{ \prime }{ \prime } { \prime } }  ( \boldsymbol { x } ) \
0 & 2 & 1 & 0.50 & 0.25 \
1 & 3.29 & 1.64 & 0.82 & 0.41 \
2 & 5.43 & 2.71 & 1.35 & 0.67 \
3 & 8.96 & 4.48 & 2.24 & 1.12
\end{array}$$ h(x), h'(x), h"(x)and h"'(x)are all increasing functions.Suppose we use a tangent line approximation at zero to approximate h(0.1).Find a good upper bound for the error.
A)0.0025 
B)0.0820 
C)0.1066 
D)0.1558

The Function H(x)is a Continuous Differentiable Function Whose Graph Is