Solve the problem.The surface area S (in square inches) of a cylindrical pipe with length 12 inches is given by S(r) = 2?r2 + 24?r, where r is the radius of the piston (in inches). If the radius is increasing with time t (in minutes) according to the formula r(t) = 
t2, t ? 0, find the surface area S of the pipe as a function of the time t.
What will be an ideal response?
S(t) = 
?t4 + 4?t2
Mathematics
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Find the quadratic function that fits the set of data points.(-2, -5), (-3, -2), (-9, 142)
A. f(x) = -3x2 - 12x - 7 B. f(x) = 3x2 + 2x + 5 C. f(x) = 3x2 + 12x + 7 D. f(x) = -3x2 + 12x + 5
Mathematics
Find the regression line for the given data. Round to two decimal places, if necessary.
A. y = 0.95x + 3.07 B. y = 0.85x + 3.07 C. y = 0.75x + 4.07 D. y = 0.75x + 5.07
Mathematics
Name the property illustrated.(2 ? 4) ? p = 2 ? (4 ? p)
A. associative property of multiplication B. commutative property of multiplication C. identity property of multiplication D. distributive property
Mathematics
Identify the expression as a polynomial or not a polynomial.5
+ 6
+ 3x
A. Polynomial B. Not a polynomial
Mathematics