Find the sum. -54 + 40

Suppose that the function f has derivatives of all orders at x and that $F(x)=(m x+b) f(x)$, where $m$ and $b$ are constants. Express $F^{\prime \prime \prime}(x)$ in terms of x and derivatives of f.

Find the sum. $3 + ( - 3 )$

Cite four statistics that demonstrate the importance of transportation in the United States.

Find the sum. - 25 + 50.

Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations.

$$y = 2 - \sqrt { x + 1 }$$

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Our Organization's bylaws state the following: "The Secretary of the Association will submit an agenda two weeks before each meeting." _________

Find the first derivatives of the functions.

$$y=\sin [(2 t+5)^{-2 / 3}]$$

In the problem below, the function f is differentiable and $f_x(2,1)=-3, f_y(2,1)=4$, and $f(2,1)=7$.

Find $f_r(2,1)$ and $f_\theta(2,1)$, where $r$ and $\theta$ are polar coordinates, $x=r \cos \theta$ and $y=r \sin \theta$. If $\vec{u}$ is the unit vector in the direction $2 \vec{i}+\vec{j}$, show that $f_{\vec{u}}(2,1)=f_r(2,1)$ and explain why this should be the case.

Use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function. $f(x)=1-2^{x+3}$

Is the urinary bladder in the abdominal cavity?

Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations.

$$y = \sqrt { x + 4 } - 3$$

Use the functions f(x)=(1/8)x-3 and g(x)=x$^3$ to find the indicated value.

$$\left(f^{-1} \circ f^{-1}\right)(6)$$

Find the exact value of the remaining trigonometric functions of

$$\theta .$$

$$\cos \theta = \frac { 3 } { 7 } , \sin \theta < 0$$