Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
?
If 
and 
, then f must have a critical point at (a, b).
What will be an ideal response?
True. It follows from definition.
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Graph the piecewise function.f(x) = 
A. 
B. 
C. 
D. 
The following table shows the cost C of renting a lakeside cabin and taking your family there on a vacation that is d days long. Find a linear model for the cost as a function of the days spent on vacation. Round your answer to two decimal places, if necessary. d 4 6 8 10 C 471 541 611 681?
A. 
B. ?
C. ?
D. ?
Solve the initial value problem.
= 3t + sec2 t, r(-?) = -2
A. r = 
t2 + cot t - 2 - 
?2
B. r = 3 + tan t - 5
C. r = 
t2 + tan t - 2 - 
?2
D. r = 3t2 + tan t - 2 - 3?2
Factor the polynomial completely. If the polynomial cannot be factored, say it is prime.21x3 - 69x2 + 18x
A. x(3x - 3)(7x - 2) B. 3x(x + 3)(7x + 2) C. 3x(x - 3)(7x - 2) D. prime