For $s(x)=-3x^2+3x$, find $dy$ when $x=-5$ and $dx=\frac{1}{100}$.

A length is measured as $8$ centimeters with a possible error of $2\%$. A quantity is proportional to the CUBE of that length. What is the approximate percentage error in the quantity?

For $p(x)=5x^2-8x$ at $x=-4$ with $dx=\Delta x=1$, how do $dy$ and $\Delta y$ compare?

The radius of a circle is measured as $4$ centimeters, with $A=\pi r^2$. Use a differential to estimate the change in the quantity when the radius grows by $\frac{1}{100}$ centimeters. Give the answer in square centimeters.

For $v(x)=-3x^2-4x$, find $dy$ when $x=-2$ and $dx=\frac{1}{50}$.

A length is measured as $3$ centimeters with a possible error of $1\%$. A quantity is proportional to the SQUARE of that length. What is the approximate percentage error in the quantity?

For $q(x)=5x^2-2x$ at $x=-2$ with $dx=\Delta x=1$, how do $dy$ and $\Delta y$ compare?

A length is measured as $2$ centimeters with a possible error of $2\%$. A quantity is proportional to the CUBE of that length. What is the approximate percentage error in the quantity?

For $v(x)=2x^2-6x$, find $dy$ when $x=1$ and $dx=\frac{1}{100}$.

The side of a square is measured as $6$ centimeters, with $A=s^2$. Use a differential to estimate the change in the quantity when the side grows by $\frac{1}{20}$ centimeters. Give the answer in square centimeters.

A length is measured as $8$ centimeters with a possible error of $5\%$. A quantity is proportional to the CUBE of that length. What is the approximate percentage error in the quantity?

For $v(x)=-2x^2-6x$, find $dy$ when $x=-1$ and $dx=\frac{1}{50}$.

The radius of a circle is measured as $5$ centimeters, with $A=\pi r^2$. Use a differential to estimate the change in the quantity when the radius grows by $\frac{1}{50}$ centimeters. Give the answer in square centimeters.

The radius of a sphere is measured as $3$ centimeters, with $V=\frac{4}{3}\pi r^3$. Use a differential to estimate the change in the quantity when the radius grows by $\frac{1}{100}$ centimeters. Give the answer in cubic centimeters.

A cube's edge is measured as $9$ centimeters, and its volume is $V=s^3$ for edge length $s$. Use a differential to estimate the change in volume when the edge grows by $\frac{1}{100}$ centimeters. Give the answer in cubic centimeters.

For $w(x)=-6x^2+x$, find $dy$ when $x=3$ and $dx=\frac{1}{50}$.

For $g(x)=3x^2-5x$, find $dy$ when $x=3$ and $dx=\frac{1}{100}$.

For $w(x)=4x^2+9x$ at $x=-2$ with $dx=\Delta x=1$, how do $dy$ and $\Delta y$ compare?

For $q(x)=-5x^2+2x$, find $dy$ when $x=2$ and $dx=\frac{1}{20}$.

The side of a square is measured as $5$ centimeters, with $A=s^2$. Use a differential to estimate the change in the quantity when the side grows by $\frac{1}{20}$ centimeters. Give the answer in square centimeters.