Solve the problem.The surface area of a balloon is given by S(r) = 4?r2, where r is the radius of the balloon. If the radius is increasing with time t, as the balloon is being blown up, according to the formula
find the surface area S as a function of the time t.
A. S(r(t)) = ?t3
B. S(r(t)) = ?t9
C. S(r(t)) = ?t6
D. S(r(t)) = ?t6
Answer: D
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Find the length of the curve.x = t3, y = 2t2, 0 ? t ? 1
A.
B.
C.
D.
For the given functions f(x) and g(x), find (f ? g)(x) or (x) as indicated.f(x) = 2x - 8, g(x) = 7x - 3Find (f ? g)(x).
A. 9x2 - 62x - 11 B. 14x2 - 59x + 24 C. 14x2 + 24 D. 14x2 - 62x + 24
Write an inequality that satisfies the description.Inside the circle with radius 2 and center (0, 0)
A. x2 - y2 < 4 B. x2 + y2 < 4 C. x2 + y2 > 4 D. x2 + y2 < 2
Find the slope of the line through the points and interpret the slope.
A. ; for every 7-unit increase in x, y will increase by 1 unit
B. -7; for every 1-unit increase in x, y will decrease by 7 units
C. - ; for every 7-unit increase in x, y will decrease by 1 unit
D. 7; for every 1-unit increase in x, y will increase by 7 units