Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
y = 
y = -1
A. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = 1, f(x) is not differentiable at 
B. Since limx?-1+ f '(x) = -1 while limx?-1- f '(x) = 0, f(x) is not differentiable at 
C. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = -1, f(x) is not differentiable at 
D. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = 0, f(x) is differentiable at 
Answer: C
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Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = 
A. f(x) = 
+ 
- 
(sin x - sin 2x + . . .)
B. f(x) = 
+ 
- 
(sin x + sin 2x + . . .)
C. f(x) = 
+ 
+ 
(sin x - sin 2x + . . .)
D. f(x) = 
+ 
+ 
(sin x + sin 2x + . . .)
Translate the problem situation to a system of equations. Do not attempt to solve.Bill & Jose's Discount Cinema sold adults' tickets for $5.20 each and children's tickets for $2.30 each. Last Tuesday, a total of $526.00 was collected from 148 movie watchers. How many of each type of ticket were sold? (Let x represent the number of adults' tickets and y represent the number of children's tickets.)
A. x + y = 526.00, 5.20x + 2.30y = 148 B. x - y = 148, 5.20x + 2.30y = 526.00 C. x + y = 7.50, 5.20x + 2.30y = 526.00 D. x + y = 148, 5.20x + 2.30y = 526.00
Use these sets to find the following. Identify any disjoint sets.Let U = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {3, 5, 7, 9}, 
and 
? ? N
A. ?; N and ? are disjoint sets. B. N, or {4, 6, 8, 10, 12}; N and ? are disjoint sets. C. {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13} D. {5, 7, 9, 11, 13}
Write the phrase as an algebraic expression. Let x represent the unknown number.Seven times a number decreased by 23
A. 23 - 7x B. 23x - 7 C. 7x - 23 D. 7x + 23