Solve the problem.When an amount of heat Q (in kcal) is added to a unit mass (in kg) of a substance, the temperature rises by an amount T (in degrees Celsius). The quantity dQ/dT, called the specific heat, is 0.18 for glass. If dQ/dt = 12.9 kcal/min for a 1 kg sample of glass at 20.0°C, find dT/dt for this same sample.
A. 34.8 kcal/min
B. 71.7 kcal/min
C. 2.322 kcal/min
D. 74.7 kcal/min
Answer: B
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Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.
1/g2(x), x = 4
A. 
B. 
C. - 
D. - 
Factor completely. If unfactorable, indicate that the polynomial is prime.49x2 - 64
A. (7x + 8)(7x - 8) B. (7x + 8)2 C. (7x - 8)2 D. prime
Solve the double inequality.-5 < 
? 3
A. 
< x < 
B. - 
? x < 
C. 
? x < 
D. - 
? x ? 
Solve the problem.You have 256 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.
A. 128 ft by 32 ft B. 66 ft by 62 ft C. 128 ft by 128 ft D. 64 ft by 64 ft