Questions from General Calculus

Q: Use the given graph of f to find a number such that

Use the given graph of f to find a number such that if

Q: As dry air moves upward, it expands and in so doing

As dry air moves upward, it expands and in so doing cools at a rate of about C for each 100-m rise, up to about 12 km. (a). If the ground temperature is 200C, write a formula for the temperature at he...

Q: Given that limx→2 (5x – 7) = 3

Given that limx→2 (5x – 7) = 3, illustrate Definition 1 by finding values of δ that correspond to ∈ = 0.1, ∈ = 0.05, and ∈ = 0.01.

Q: Prove the statement using the ∈, δ definition of a limit and

Prove the statement using the ∈, δ definition of a limit and illustrate with a diagram like Figure 7. Figure 7:

Q: Prove the statement using the ∈, δ definition of a limit and

Prove the statement using the ∈, δ definition of a limit and illustrate with a diagram like Figure 7. Figure 7:

Q: Find, correct to five decimal places, the length of the

Find, correct to five decimal places, the length of the side labeled x.

Q: Find, correct to five decimal places, the length of the

Find, correct to five decimal places, the length of the side labeled x.

Q: (a). Determine how large we have to take x so

(a). Determine how large we have to take x so that 1/x < 0.0001 (b). Use Definition 2 to prove that limx→∞ 1/x2 = 0.

Q: Convert from degrees to radians. (a). 3150

Convert from degrees to radians. (a). 3150 (b). 360

Q: Prove each equation. (a). Equation 14a (

Prove each equation. (a). Equation 14a (b). Equation 14b