2) 3) 4) 5 Calculate Simplify your answer. HINT [See Examples 1 and 2.] The mont

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Calculate Simplify your answer. HINT [See Examples 1 and 2.] The monthly sales of Sunny Electronics new sound system are given by q(t) = 2,0001 - lOOt2 units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 - t2 dollars per sound system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a).] 2000-2001 Find the rate of change of the price. PX 0= -2t Find the rate of change of monthly revenue 5 months after the introduction of the sound system. per month Interpret your answer. the revenue is increasing at a rate of $ The monthly sales of Sunny Electronics new sound system are given by q(t) = 2,0001 - lOOt2 units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 - t2 dollars per sound system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a).] Find the rate of change of the price. Find the rate of change of monthly revenue 5 months after the introduction of the sound system. Interpret your answer. dv Calculate -You need not expand your answer. Daily oil production in Mexico and daily U.S. oil imports from Mexico during 2000-2004 can be approximated by where t is time in years since the start of 2000. Compute to two significant digits. What does the answer tell you about oil imports from Mexico? At the start of the fraction of oil produced in Mexico that was imported by the U.S. was decreasing at a rate of %) per year. The price of crude oil during the period 2000-2010 can be approximated by P(t) = 6t + 18 dollars per barrel (0

Explanation / Answer

1)y= 2x+4 / 3x-1

dy/dx= (3x-1)(2) - (2x+4)(3) / (3x-1)^2

dy/dx= -14/ (3x-1)^2

2)r(t)=revenue= p(t)q(t) = 2000000-2000t^3 -100000t + 100t^4

r'(t)= -6000t^2 - 100000 + 400t^3

r'(5)=-200000

3)dy/dx=(3x^2 + 12x -31)/(2(x+2)^2)

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