Questions from Calculus

Q: For a long-distance phone call, a hotel charges $

For a long-distance phone call, a hotel charges $9.99 for the first minute and $0.79 for each additional minute or fraction thereof. A formula for the cost is given by C(t) = 9.99 − 0.79⟨1 − t⟩, t > 0...

Q: For a long-distance phone call, a hotel charges $

For a long-distance phone call, a hotel charges $5.79 for the first minute and $0.99 for each additional minute or fraction thereof. A formula for the cost is given by C(t) = 5.79 − 0.99[1 – t], t > 0...

Q: When using the definition of limit to prove that L is the

When using the definition of limit to prove that L is the limit of f(x) as x approaches c, you find the largest satisfactory value of δ. Why would any smaller positive value of δ also work?

Q: The definition of limit requires that f is a function defined on

The definition of limit requires that f is a function defined on an open interval containing c, except possibly at c. Why is this requirement necessary?

Q: If f(2) = 4, can you conclude anything

If f(2) = 4, can you conclude anything about the limit of f(x) as x approaches 2? Explain your reasoning.

Q: If the limit of f(x) as x approaches 2

If the limit of f(x) as x approaches 2 is 4, can you conclude anything about f(2)? Explain your reasoning.

Q: A jeweler resizes a ring so that its inner circumference is 6

A jeweler resizes a ring so that its inner circumference is 6 centimeters. a. What is the radius of the ring? b. The inner circumference of the ring varies between 5.5 centimeters and 6.5 centimeters....

Q: A sporting goods manufacturer designs a golf ball having a volume of

A sporting goods manufacturer designs a golf ball having a volume of 2.48 cubic inches. a. What is the radius of the golf ball? b. The volume of the golf ball varies between 2.45 cubic inches and 2.51...

Q: Find the derivative of the function by the limit process.

Find the derivative of the function by the limit process. f(x) = x2 + x – 3

Q: Consider the function f(x) = (1 +

Consider the function f(x) = (1 + x)1/x Estimate by evaluating f at x-values near 0. Sketch the graph of f.