Page 6 of 7 7. [4] The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopy machine satisfy: . a) b) C'(t) = t² and 22 R' (t) = 5t²e-t³ Find the useful life of the machine, to the nearest year. Find the total profit accumulated during the useful life of the machine.

Q: 3. The number of sales per day S(t), measured in thousands, of a new toy is found to be 400 t+25…

A: Need to answer the following parts for the given sales function with respect to the number of days.

Q: Find F.

A: f''(t) = 3/t1/2 f'(t) =     Given, f'(4) = 4 So, 6(4)1/2 + C = 4 or, 12+C = 4 or C = -8 Therefore,…

Q: Using the algebraic technique (no graphs!) we learned in this unit, find the slope of the tangent to…

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Q: 1. The value of a baseball card, V (in $) changes over time, t (in yrs) according to this function V…

A: Topic:- function

Q: The ordering and transportation cost C per unit for the components used in manufacturing a product…

A:

Q: f′(x) of f(x)=(12x-8)^1/2 and find the equation of the line tangent to the graph of f at x=2. Find…

A:

Q: The sales in thousands of new type of product are given by the formula S(t) = 170 – 80e-0.9t where t…

A:

Q: The value of a computer t years after purchase is V(t) = 2, 000e-0.35t dollars. At what rate is the…

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Q: 2. It has been observed that a mothball of radius 1 cm evaporates to leave a ball of radius 1/2 cm…

A: We will use rate of evaporation ( change in surface area ) is proportional to surface area formed a…

Q: Sehr put $1,000 into a savings account that earns 4%/a in interest, calculated simply. How much will…

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Q: 35. /2.1 – V2 is larger than /9.1 – ỹ.

A: