Solve the problem.Find the derivative of the function 
at the point 
in the direction in which the function increases most rapidly.
A. 
B. 
C. 
D. 
Answer: C
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Find the extreme values of the function and where they occur.f(x) = 
A. Absolute maximum value is 1 at x = 0. B. Absolute minimum value is -1 at x = 0.5. C. Absolute maximum value is 1 at x = 0.5, absolute minimum value is -1 at x = 0.5. D. Absolute maximum value is 1 at x = 0.5.
Solve.
- 
= 5
A. 15
B. 45
C. 
D. 27
Give a verbal representation for the given function. f(x) = 
+ 4. Let y = f(x).
A. To obtain y: Add 4 to the opposite of x. B. To obtain y: If x is positive or equal to zero, add 4 to x. If x is negative, add 4 to the opposite of x. C. To obtain y: Add 4 to x. D. To obtain y: Multiply x by -1, then add 4 to the result.
Translate the problem to a system of equations, then solve using Cramer's Rule.Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 500 gallons of gasohol containing 10% alcohol?
A. 208 gal 5%, 292 gal 12% B. 143 gal 5%, 357 gal 12% C. 357 gal 5%, 357 gal 12% D. 25 gal 5%, 60 gal 12%