Find  by using the Chain Rule. Express your final answer in terms of t.w =x2 + xy + y2, x = e2t, y = t

A. 4e4t - 2te2t + 2t
B. 4e4t + (2t + 1)e2t + 2t
C. 2e4t + (2t + 1)e2t + 4t
D. 2e4t + (2t + 1)e2t + 2t


Answer: B

Mathematics

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Solve the problem.The size of a population of mice after t months is P = 100(1 + 0.2t + 0.02t2). Find the growth rate at  months.

A. 176 mice/month B. 76 mice/month C. 152 mice/month D. 38 mice/month

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Fill in the blank with the appropriate measurement relationship.1 hr =  min

Fill in the blank(s) with the appropriate word(s).

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Find f-1(x).f(x) = 

A. f-1(x) = x3
B. f-1(x) = x
C. No inverse function exists.
D. f-1(x) = -10x3

Mathematics

Solve the application by using a system of linear inequalities in two variables.The equation that represents the proper traffic control and emergency vehicle response availability in a small city is  where P is the number of police cars on active duty and F is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation  is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so 

src="https://sciemce.com/media/4/ppg__10708191732__f1q36g3.jpg" alt="" style="vertical-align: -4.0px;" /> and  Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for P and the vertical axis for F. If 6 police cars are on active duty and 4 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?  

A.
; Yes
B.
 ; No
C.
; Yes
D.
 ; No

Mathematics