Solve the problem.A balloon (in the shape of a sphere) is being inflated. The radius is increasing at a rate of 11 cm per second. Find a function, r(t), for the radius in terms of t. Find a function, V(r), for the volume of the balloon in terms of r. Find (V ? r)(t).
A. (V ? r)(t) =
B. (V ? r)(t) =
C. (V ? r)(t) =
D. (V ? r)(t) =
Answer: C
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Provide an appropriate response.A whole number is understood to have a decimal point at the:
A. end B. interval C. beginning D. left
Find an equation of the inverse relation.x = y - 2y2
A. y = x - 2x2 B. y = x + 2y2 C. y = x + 2x2 D. y = x - 2y2
Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.
A. P(x) = x4 - 2x2 - 3x + 12; domain: (-?, ?); range: (-?, ?); Increasing over (-?, -1.21] and [.97, ?); Decreasing over [-1.21, .97] B. P(x) = 2x3 - 12x2 - 5x - 12; domain: (-?, ?); range: (-?, ?); Increasing over [-.98, 3.09]; Decreasing over (-?, -.98] and [3.09, ?) C. P(x) = -3x5 + 2x4 - x2 + 2x - 12; domain: (-?, ?); range: (-?, ?); Increasing over (-?, -1.33] and [.67, ?); Decreasing over [-1.33, .67] D. P(x) = -3x3 - 10x2 + 5x + 12; domain: (-?, ?); range: (-?, ?); Increasing over [-2.47, .19]; Decreasing over (-?, -2.47] and [.19, ?)
Find all values of x satisfying the given conditions.y = (x + 1)3/2 and y = 125
A.
B. {26}
C. {4}
D. {24}