Solve the equation, where $k$ is a positive constant.

$$3 k x^2-7 x=0$$

As a rocket ascends, its acceleration increases even if the net force on it stays constant. Why?

Graph the linear function. Give the domain and range. Identify any constant functions. $f(x)=0$

Give the constant term, $a_0$.

$$15-11 t^9-8 t^4$$

Explain how to determine the volume of a gas at a certain temperature using the proportionality constant, $k$.

Describe the behavior of the balloon in the preceding problem when you're (b) rounding a curve at constant speed.

Can an object have a varying speed if its velocity is constant? If yes, give examples.

Explain how we might keep a gas at a constant temperature during a thermodynamic process.

To what do the $A_1, A_3$, and $A_{\mathrm{cm}}$ temperatures refer? Are these temperatures constant?

Determine the intervals over which the function is increasing, decreasing, or constant.

$$f(x)=\sqrt{x^2-1}$$

If $g(x)=b$, where $b$ is a positive constant, describe how the graphs of $y=h(x)$ and $y=(h-g)(x)$ will differ.

Use the graph to determine

$(c)$ the intervals over which the function is increasing, decreasing, and constant.

If a rigid body has a constant angular acceleration, what is the functional form of the angular position?

An exponential growth model is appropriate when consecutive function values appear to be changing by a constant