Simplify the expression.-3y + 3 - 1 + 5 + y - 7
A. -4y + 1
B. -4y
C. -2y
D. -2y - 1
Answer: C
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Find the maximum and minimum of the function f over the closed and bounded set S.f(x, y) = x + y + 88; S = {(x, y): x2 + y2 ? 1}
A. f(0, 0) = 88; maximum. No minimum.
B. f(,
) = (88 +
); maximum. f(-
, -
) = (88 -
); minimum.
C. f(0, 0) = 88; minimum. No maximum.
D. f(- , -
) = (88 +
); maximum. f(
,
) = (88 -
); minimum.
Solve the problem.The position of an object moving in a straight line is given by s = t2 - 8t, where s is the distance in feet and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 6 feet?
A. 8.5 sec B. 1.2 sec C. 8.7 sec D. 7.0 sec
Solve the problem.A water trough has a semicircular cross section with a radius of 0.5 m and a length of 6 m (see figure). How much work is required to pump water out of the trough when it is full? Round to two decimal places when appropriate.
A. 29,400 J B. 2450 J C. 4900 J D. 86,975? J
Find the indicated sum.
A. 1620 B. 1404 C. 1458 D. 1525.5