Questions from General Calculus

Q: a. Use the Squeeze Theorem to evaluate /

a. Use the Squeeze Theorem to evaluate b. Graph f(x) = (sin x)/x. How many times does the graph cross the asymptote?

Q: By the end behavior of a function we mean the behavior of

By the end behavior of a function we mean the behavior of its values as x → ∞ and as x → -∞. a. Describe and compare the end behavior of the functions P(x) = 3x5 - 5x3 + 2x Q(x) = 3x5 by...

Q: Find limx → ∞ f(x) if, for all

Find limx → ∞ f(x) if, for all x > 1,

Q: a. A tank contains 5000 L of pure water. Brine

a. A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. Show that the concentration of salt after t minutes (in gram...

Q: Determine the infinite limit. /

Determine the infinite limit.

Q: In Chapter 9 we will be able to show, under certain

In Chapter 9 we will be able to show, under certain assumptions, that the velocity v(t) of a falling raindrop at time t is v(t) = v*(1 - e-gt/v*) Where g is the acceleration due to gravity and v* is t...

Q: a. By graphing y = e-x/10 and

a. By graphing y = e-x/10 and y = 0.1 on a common screen, discover how large you need to make x so that e-x/10 < 0.1. b. Can you solve part (a) without using a graphing device?

Q: Use a graph to find a number N such that

Use a graph to find a number N such that

Q: For the limit / illustrate Definition 7 by

For the limit illustrate Definition 7 by finding values of N that correspond to ε = 0.1 and ε = 0.05.

Q: For the limit / illustrate Definition 8 by

For the limit illustrate Definition 8 by finding values of N that correspond to ε = 0.1 and ε = 0.05.