## Rewrite the following integral using the indicated order of integration and then evaluate the resulting integral. 5 0 6x+6 SSS dy dx dz in the order dz dx dy 0-1 0 50 6x + 6 SSS dy dx dz = SSS dz dx dy 0 – 1 0

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# calculus

## The total cost, TC, of producing 100 units of a good is 600 and the total cost of producing 150 units is 850. Assuming that the total cost function is linear, fi nd an expression for TC in terms of Q , the number of units produced.

## Given the constant elasticity demand function as : π = ππ π π€βπππ π ππ π‘βπ πππ π‘ππππ‘π¦ ππ ππππππ a. Show that Marginal Revenue of this function is proportional to the price (let πΎ = ( 1 π ) 1 π β ). To simplify the equation. b. calculate the Marginal Revenue when πππ’πππ = π = β2 and when b=-10. c. what does your answer mean in terms of revenue facing the firm? d. If π = βπΌ what would this imply for Marginal Revenue and Total Revenue of the firm. e. Explain how Marginal Revenue and profit maximization would be affected if demand was inelastic.

## Lim x-> infinity (1-(e^x))/(1+(2e(^x)))

## A restaurant would like to estimate the proportion of tips that exceedβ 18% of its dinner bills. Without any knowledge of the populationβ proportion, determine the sample size needed to construct a 98% confidence interval with a margin of error of no more than 8% to estimate the proportion. could you pleast work this out step by step by showing me what to insert into my calculator?

## In these exercises, make reasonable assumptions about the graph of the indicated function outside of the region depicted. For the function g graphed in the accompanying figure, find lim x right 0- g(x) lim x rightarrow 0+ g(x) lim x rightarrow 0 g(x) g(0).

The total cost, TC, of producing 100 units of a good is 600 and the total cost of producing 150 units is 850. Assuming that the total cost function is linear, fi nd an expression for TC in terms of Q , the number of units produced. EXPERT ANSWER

Given the constant elasticity demand function as : π = ππ π π€βπππ π ππ π‘βπ πππ π‘ππππ‘π¦ ππ ππππππ a. Show that Marginal Revenue of this function is proportional to the price (let πΎ = ( 1 π ) 1 π β ). To simplify the equation. b. calculate the Marginal Revenue when πππ’πππ = …

Lim x-> infinity (1-(e^x))/(1+(2e(^x))) EXPERT ANSWER To find the lt –> infnity {(1-e^x)/(1+2e^x)}, we transform e^x = y and so when x–>ifinity, y = e^x –>ifinity. Therefore, Lt x–> ifinity {(1-e^x)/(1+2e^x)} = Lty–>infinity (1-y)/(1+2y) Lt x–> ifinity {(1-e^x)/(1+2e^x)} = Lty–>infinity (1-y)/(1+2y). We divide both numerator and denominator by y on the right: Lt x–> ifinity …

A restaurant would like to estimate the proportion of tips that exceedβ 18% of its dinner bills. Without any knowledge of the populationβ proportion, determine the sample size needed to construct a 98% confidence interval with a margin of error of no more than 8% to estimate the proportion. could you pleast work this out …

EXPERT ANSWER a) When x = 0, we are talkin about the y-axis And when they ask us to find the limit as x —> 0(-), we are looking at the value of y when x is approaching 0 from the negative side. Notice that at x = 0, y = 3. Also, when x …