Revenue The monthly sales of Sunny Electronics’ new iSun media player is given by q ( t ) = 2 , 000 t − 100 t 2 units per month, t months after its introduction. The price Sunny charges is p ( t ) = 100 − t 2 dollars per iSun , t months after introduction. Find the rate of change of monthly sales, the rate of change of the price, and the rate of change of monthly revenue 6 months after the introduction of the iSun . Interpret your answer. [ HINT: See Example 4(a).]
Revenue The monthly sales of Sunny Electronics’ new iSun media player is given by q ( t ) = 2 , 000 t − 100 t 2 units per month, t months after its introduction. The price Sunny charges is p ( t ) = 100 − t 2 dollars per iSun , t months after introduction. Find the rate of change of monthly sales, the rate of change of the price, and the rate of change of monthly revenue 6 months after the introduction of the iSun . Interpret your answer. [ HINT: See Example 4(a).]
Solution Summary: The author calculates the rate of change of monthly sales, prices, and revenue of Sunny Electronics’ new sound system after 6 months. The product rule of derivative of differentiable functions is f(x
Revenue The monthly sales of Sunny Electronics’ new iSun media player is given by
q
(
t
)
=
2
,
000
t
−
100
t
2
units per month, t months after its introduction. The price Sunny charges is
p
(
t
)
=
100
−
t
2
dollars per iSun, t months after introduction. Find the rate of change of monthly sales, the rate of change of the price, and the rate of change of monthly revenue 6 months after the introduction of the iSun. Interpret your answer. [HINT: See Example 4(a).]
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
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