Find the partial derivative.Let f(x, y) = (3x5y4 - 10)2. Find fy.
A. 2(3x5y4 - 10)
B. 12x5y3
C. 30x4y4(3x5y4 - 10)
D. 24x5y3(3x5y4 - 10)
Answer: D
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Solve the problem.Find the present value of a loan with an annual interest rate of and periodic payments of
for a term of 27 years, with payments made and interest charged 12 times per year.
A. $193,841.87 B. $387,683.73 C. $155,073.49 D. $348,915.36
Solve the problem.A person at the top of a 600 foot tall building drops a yellow ball. The height of the yellow ball is given by the equation where h is measured in feet and t is the number of seconds since the yellow ball was dropped. A second person, in the same building but on a lower floor that is
from the ground, drops a white ball
after the yellow ball was dropped. The height of the white ball is given by the equation
src="https://sciemce.com/media/4/ppg__10624191842__f1q188g4.jpg" alt="" style="vertical-align: -4.0px;" /> where h is measured in feet and t is the number of seconds since the yellow ball was dropped. Find the time that the balls are the same distance above the ground and find this distance. A. 4 sec; 344 ft B. 3.5 sec; 404 ft C. 2.5 sec; 500 ft D. 3 sec; 456 ft
Translate to an equation and solve.20% of what number is 99?
A. 49.5 B. 19.8 C. 495 D. 4,950
Solve the linear programming problem.A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales?
A. 76 bottles of white and 42 bottles of red B. 42 bottles of white and 59 bottles of red C. 14 bottles of white and 132 bottles of red D. 132 bottles of white and 14 bottles of red