Summation of e^x and proof that the derivative of e^x=e^x Hard Problem: The expression ex can be written asex=n=0xnn!Where n! = n(n − 1)(n − 2) ... (2)(1). Show thatdex = exdxHint: Write out the first few terms of the summation. Recall that 0!=1.

To solve this problem, we need to show that the derivative of ( ex ) with respect to ( x ) equals (…

Answered: Hard Problem: The expression ex can be…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Differentiate the following function: y = (10x – 3)? O Y'= 20( x - 3) O Y'= 20(10x+3) O Y'= 20(10x-3) O Y'= 2 (10x-3)
Whenever postage rates change, some newspaper publishes a graph such as the one shown below, which shows the price of a first-class stamp from 2006 to 2016. Cost(dollam) 0.85- 0.70- 0.55 0.40 0.25 of 2006 2008 Price of a First-Class Stamp [Select] 2010 Year 2012 2014 2016 (a) Let f be the function whose rule is f(x) = cost of a first-class stamp in year x. Find f(2012) and f(2015). f(2012) = [Select] f(2015): =
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Cost of buying tomato plants are 20 cents each and a farmer sells them for 50 cents each. His fixed costs are euro 60 including the rate he pays to the local council. How many tomato plants must he sell to break even? What kind of profit will he realize from selling 180 plants? Formulate P(x) function clearly and graph it. Values of its intersections with both axes must be clear.
Hi, I have been trying to compute the optimal values from this lagrangian. But I can't seem to find a way to get the values from the answer key. I attached both the question and answers. Could you please explain to me how to get these values from the first-order conditions? Thank you very much
Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)
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New ads have been proposed and cost the company $5000 to run in each time slot. If the extra sales from each new ad are determined be sales = 11000 - 30ad. How many ads should be run? (enter as an integer).
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It is estimated that a grocer’s daily profit from the sale of two brands of cherry juice is given by thefunction:P(x,y) = (x - 30)(70 - 5x + 4y) + (y – 40)(80 + 6x – 7y) centswhere x is the price per can of Brand V Juice and y is the price per can of Brand Triple V Juice. CurrentlyBrand V Juice sells for 50 cents per can and Brand Triple V Juice sells for 52 cents per can.i. Use marginal analysis to estimate the change in the daily profit that will result if the grocer raises theprice of Brand Triple V by one cent per can while keeping the price of Brand V unchanged.ii. Find a stationary point of the daily profit function. Classify this stationary point.
5. Consider the process where S0 = 0 and {ut : t ∈ Z} is an i.i.d. random variable with N(0,σ2). a) DeterminethemeanandcovariancefunctionoftheprocessSt.Isthisprocessstrictlystationary?Second-order stationary? b) Show that the process Yt = (1 − L)St , t = 1,2,... is strictly stationary. Compute its mean and autocovariance function.
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Hard Problem: The expression ex can be written as ex = n=0 xn n! Where n! = n(n − 1)(n − 2) ... (2)(1). Show that d ex = ex dx Hint: Write out the first few terms of the summation. Recall that 0!=1.