Compute the gradient of the function at the given point.
A. ?f = 16,384i + 8192j + 24,576k
B. ?f = 8192i + 12,288j + 4096k
C. ?f = 8192i + 8192j + 6144k
D. ?f = 16,384i + 12,288j + 16,384k
Answer: D
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You put a drink in the freezer to cool. When it is chilled, you take the drink out but, being forgetful, leave it sitting on the kitchen counter. The temperature D, in degrees, of the drink t minutes after it is put in the freezer is given by
?
.
?
During the period from 5 minutes after it is put in the freezer until 20 minutes after, when is the drink the warmest, and what is its warmest temperature? Be careful. You are asked for the warmest temperature, not the coldest. Round your answers to two decimal places.
?
A. It reaches its warmest temperature of 45.13 degrees after 5.00 minutes. B. It reaches its warmest temperature of 5.00 degrees after 45.13 minutes. C. It reaches its warmest temperature of 20.00 degrees after 54.93 minutes. D. It reaches its warmest temperature of 54.93 degrees after 20.00 minutes.
Use the integral test to determine whether the series converges.
A. converges B. diverges
Solve the problem.A sales representative is paid a commission rate of 2.9%. Find her commission if she sold $143,770 worth of goods last month.
A. $49,575.86 B. $147,939.33 C. $4957.59 D. $4169.33
Write a formula for the general term, or nth term, for the given sequence.1, 
, 
, 
, . . .
A. an = 
B. an = 
C. an = 
D. an = 