eI Lheck ‘ ! Compare and cantrast substances and mixtures. Give WO exdmples of eacn

Describe two advantages of using credit cards.

What three variables influence the speed of stream flow?

Sketch the curves of the given functions by addition of ordinates. $y=3-2 \cos x$

Determine the longest interval in which the given initial value problem is certain to have a unique twice differentiable solution. Do not attempt to find the solution.

$$\begin{gather*} (x + 3)y'' + xy' + (\ln |x|)y = 0, \,\,\, y(1) = 0, \,\,\, y'(1) = 1 \end{gather*}$$

Variations in members of a population help ____.

Find the inner surface area A of a cylindrical 250.0 cubic cm cup as a function of the radius r of the base. Then if A = 175.0 square cm, solve for r. Write one or two paragraphs explaining your method for setting up the function, and how you used a graphing calculator to solve for r with the given value of A.

The life span of the lightbulbs manufactured by a certain company is measured by a random variable X with probability density function

$$f(x)=\left\{\begin{matrix} 0.01e^{-0.01x}, &\text{ if }x\geq 0 \\ 0, &\text{ if }x<0 \end{matrix}\right.$$

where x denotes the life span (in hours) of a randomly selected bulb. a. What is the probability that the life span of a randomly selected bulb is between 50 and 60 hours? b. What is the probability that the life span of a randomly selected bulb is no greater than 60 hours? c. What is the probability that the life span of a randomly selected bulb is greater than 60 hours?

$f(x)=\sin x, g(x)=\cos x, h(x)=2 x,$ and $p(x)=\frac{x}{2}.$ Find the value of each of the following: $(f-g)\left(60^{\circ}\right)$

The flow rate of water in a 6-m-wide rectangular channel is to be measured using a 1.1-m-high sharp-crested rectangular weir that spans across the channel. If the head above the weir crest is 0.60 m upstream from the weir, determine the flow rate of water.

Describe a real-world situation that can be modeled by the equation 15x = 135. Solve the equation and explain what the solution means in this situation.

Use your calculator to write the following in the form $10^{x}$ where x is correct to 4 decimal places: 6

Determine whether 97 divides $n^{2}-85$ for some choice of $n \geq 1$

What factors influence how quickly chyme leaves the stomach?