Provide an appropriate response.It took 21 seconds for the temperature to rise from 10° F to 141° F when a thermometer was taken from a freezer and placed in boiling water. Although we do not have detailed knowledge about the rate of temperature increase, we can know for certain that, at some time, the temperature was increasing at a rate of 
° F/sec. Explain.
What will be an ideal response?
The average rate of temperature change is 
° F/sec during the 21 seconds. Therefore, the Mean Value Theorem implies that at sometime during this time period, the temperature was changing at a rate of 
° F/sec.
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Solve the problem.If cos x is replaced by 
and |x| < 0.4, what estimate can be made of the error?
A. |E| < 0.000014222 B. |E| < 0.000034133 C. |E| < 0.000005689 D. |E| < 0.000085333
Verify the identity.cot2 x + csc2 x = 2 csc2 x - 1
What will be an ideal response?
Estimate the present value of an annuity if payments are $1,500 monthly for 15 years and the account earns interest at the rate of 10% per year compounded continuously. Round your answer to the nearest dollar. ?
A. $124,516 B. $124,708 C. $131,206 D. $126,483 E. $139,837
For the pair of functions, find the indicated domain.f(x) = 5x + 45, g(x) = x + 2Find the domain of f ? g.
A. (-?, -11) ? (-11, ?) B. (-?, 11) ? (11, ?) C. (-?, -11] ? [-11, ?) D. (-?, ?)