Perform the indicated operations.(5 + p)2
A. p2 + 25
B. 25p2 + 10p + 25
C. p + 25
D. p2 + 10p + 25
Answer: D
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Find all the local maxima, local minima, and saddle points of the function.
A. f
= 
, local minimum
B. f(0, 0) = 0, saddle point
C. f(21, 21) = 92,610, local maximum
D. f
= 
, local minimum
Find all the first order partial derivatives for the following function.f(x, y) = (5x3y5 - 8)2
A. 
= 2(5x3y5 - 8); 
= 2(5x3y5 - 8)
B. 
= 30x2y5(5x3y5 - 8); 
= 50x3y4(5x3y5 - 8)
C. 
= 15x2y5; 
= 25x3y4
D. 
= 50x3y4(5x3y5 - 8); 
= 30x2y5(5x3y5 - 8)
Solve the problem.The concentration of a certain gas molecule in the atmosphere serves as an indicator of industrial air pollution. The data in the following table show the relationship of the estimated concentration of the molecule in the atmosphere, in parts per billion (ppb), to the year.
Take 1985 as year zero, and determine the linear, quadratic, or cubic function that best fits the data.
A. f(x) = -0.002x2 + 0.12x + 2.19 B. f(x) = 0.002x + 2.90 C. f(x) = -0.003x2 + 0.12x + 2.19 D. f(x) = 0.00001x3 - 0.003x2 + 0.14x + 2.16
Solve.A house has an assessed value of $190,500. For each $1000 of assessed value, the owner must pay $8.14 in taxes. How much must the owner pay in taxes?
A. $155.07 B. $1550.67 C. $23,402.95 D. $15,506.70