A population grows exponentially with a proportionality constant of $1.5%.% How long will it take the population to double?

Let f(x) = (2x - 3)(2x + 3). What are the constant, linear, and quadratic terms of function f?

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

$$f(x)=\frac{3}{2} x$$

Determine the derivatives for the given function. Assume $k$ is a constant.

$$P(t)=e^{2 t}$$

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

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

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

At constant pressure, what role does the enthalpy change play in determining the spontaneity of an event?

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

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

Assume that a is a constant and that y is implicitly a function of x. Compute the derivative with respect to x of each of a$^2$, x$^2$, and y$^2$.

A constant force $F_x=6.0 \mathrm{~N}$ is in the $+x$ direction. Find a function $U(x)$ such that $U(4.0 \mathrm{~m})=0$.

Give the constant term, $a_0$.

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

Identify the terms, the coefficients, and the constant(s) in the expression $-7 t+6 v+7-19 y$.

Using the results of the above problem, determine the Bernoulli constant as a function of radial coordinate $r$.