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 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.

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?

In each part, Determine whether the three vectors lie in a plane in R3. (a) v1 = (2, -2, 0) , v2 = (6, 1, 4), v3 = (2, 0 , -4) (b) v1= (-6, 7, 2), v2 = (3, 2, 4), v3 = (4, -1, 2)

Compare the intensity of a $100-W$ lightbulb while you are reading this book to the intensity of the Sun. What assumptions did you make?

Find parametric descriptions for the following surfaces. Plane 2x-4y+3z=16

The given function represents the height of an object. Compute the velocity and acceleration at time t0. h(t)=10t^2-4t, (a)t0=2, (b) t0=1. Is the object going up or down?

Compare. Use >, <, or = to complete each statement. 2/3 ? 2/5

Verify that the infinite series diverges. ∑_(n=1)^∞ (2^n + 1) / (2^n + 1)

Give the name or condensed structural formula, as appropriate: 3-phenylpentane

Biologists consider a species of animal or plant to be endangered if it is expected to become extinct within 20 years. If a certain species of wildlife is counted to have 1147 members at the present time, and the population has been steadily declining exponentially at an annual rate averaging 39% over the past 7 years, do you think the species is endangered? Explain your answer.

Graph the ordered pair on a coordinate plane. C(-1, 4)