Find ?f.f(x, y, z) = (x3y2 - y6z3)e-z2
A. F = 3x2y2e-z2i + (2x3y - 6y5z3)e-z2j + y2ze- z2[y4z(2z2 - 3) - 2x3]k
B. F = 3x2y2i + (6y5z3 - 2x3y)j + (2z2 - 3)y6z2k
C. F = 3x2y2e-z2i + (2x3y - 6y5z3)e-z2j + (3 - 2z2)y6z2e-z2k
D. F = 3x2i + (6y5 - 2y)j + 2z4e-z2k
Answer: A
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A. 298 B. 2508 C. 2098 D. 2598
Solve the problem using the rule of 78s.Dallas Wright took out a 48-month fixed installment loan of $6500 to purchase a new all-terrain vehicle (ATV). He began making monthly payments of $175.50. Instead of making his 27th payment, Dallas decides to repay his loan in full. How much interest will Dallas save?
A. $358.19 B. $377.93 C. $29.30 D. $1654.71
Solve the problem.In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place winner, and third place winner at random from these seven students, what is the probability that Alicia will win first prize, Pat will win second prize, and David will win third prize?
A.
B.
C.
D.
Solve the problem.Sketch a smooth curve through the origin with the following properties: f '(x) > 0 for
for
f "(x) approaches 0 as x approaches -?; and f "(x) approaches 0 as x approaches ?.
What will be an ideal response?