Use the fundamental identities to simplify the expression.cos (-x) cos x - sin (-x) sin x
A. 2
B. 1
C. 0
D. cos2x sin2x
Answer: B
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Solve the problem.A long strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides at right angles to the base. If the trough is to have maximum capacity, how many inches should be turned up on each side?
A. 6 in. B. 3 in. C. 5 in. D. 4 in.
Provide an appropriate response.Stock prices for a company have increased 31% during the past three months. The current stock price is $21/share. The price was $15/share 3 months ago.
A. True B. False
Let f be the function defined by 
.
?
Find the differential of f.
?
dy = __________
?
Find the approximate change in y if x changes from 3 to 3.01.
?
dy = __________
?
Find the actual change in y if x changes from 3 to 3.01.
?
__________
What will be an ideal response?
Solve the equation.-19 = 30 + f
A. f = -49 B. f = 11 C. f = -11 D. f = 49