Evaluate the expression for the given replacement values.x - y
for x = -21, y = 14
A. -35
B. 7
C. 35
D. -7
Answer: A
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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = (x + 9)x
A. x ln(x + 9)
B. ln(x + 9) + 
C. x + (9)x-1
D. (x + 9)x
Model the situation with a dynamical system. Use your model to answer the question.You deposit $971 in a bank account paying 4% yearly interest that is compounded annually. How much will be in your account at the end of 4 years?
A. An+1 = 4An, n = 0, 1, 2, ..., where A0 = 971; $248,576.00 B. An+1 = 1.04An, n = 0, 1, 2, ..., where A0 = 971; $1135.93 C. An+1 = 1.04An, n = 0, 1, 2, ..., where A0 = 971; $1009.84 D. An+1 = 0.04An, n = 0, 1, 2, ..., where A0 = 971; $0.00
Find the extreme values of the function subject to the given constraint.
A. Maximum: 75 at 
minimum: -75 at 
B. Maximum: 75 at 
minimum: 0 at 
C. Maximum: none; minimum: 0 at 
D. Maximum: none; minimum: 75 at 
Solve the problem.The number of milligrams of a certain compound, C, produced in a chemical reaction with temperature at x, in degrees Celsius, can be modeled by the formula C = 0.013x2 - 1.19x + 28.24.According to the formula, at what temperatures is the chemical reaction expected to produce 8 milligrams of the compound? Use a calculator and round answers to the nearest milligram.
A. 68 ° C and 24 ° C B. 70 ° C and 22 ° C C. 68 ° C and 22 ° C D. 69 ° C and 23 ° C