[WeBWork] Prepwork & HW 2.1~2.6 & 3.10 Answers

[HW] WeBWork Prepwork 2.1-2.6, 3.10.pdf

1.16MB

[HW] WeBWork HW 2.1-2.6, 3.10.pdf.pdf

1.37MB

Keywords: derivative, speed, acceleration, instantaneous velocity, changing, derivative function, the second derivative, differentiability 

Questions Example: 

 

[Prepwork 2.4]

Q2. The cost of extracting T tons of ore from a copper mine is C = f (T) dollars. What does it mean to say that f 0(3400) = 250?

 

A. When 3400 tons of ore have already been extracted from the mine, the cost of extracting the next ton is approximately 250 dollars.

B. To extract 3400 tons of ore costs the company approximately 250 dollars.

C. The company received approximately 250 dollars for extracting 3400 tons of ore.

D. When 3400 tons of ore have been extracted from the mine, the cost of extracting each ton was approximately 250 dollars.

E. After spending 3400 dollars to extract ore, extracting an additional 250 tons of ore will cost approximately an additional 3400 dollars.

 

Answer: A

[Prepwork 2.6 and MVT]

Select all of the following statements that are true.

 

• A. If we know that f (x) is continuous at x = 2, then we know it must be differentiable there as well

• B. If we know that a function is not differentiable at x = 2, then we know that it cannot be continuous there either

• C. If we know that f (x) is differentiable at x = 2, then we know it must be continuous there as well

• D. If we know that a function is not continuous at x=2, then we know that it cannot be differentiable there either

 

[HW 2.5]

Q5. Given the graph of y = f (x) below, at which of the marked x-values can the following statements be true?

A. f (x) > 0 at x = x1, x2, x5

B. f 0(x) > 0 at x = x1, x4, x5

C. f (x) is increasing at x = x1, x4, x5

D. f 0(x) is increasing at x = x4, x5

E. The slope of f (x) is negative at x = x2, x3

F. The slope of f 0(x) is negative at x = x2, x3