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a) Give the second-order Taylor polynomial P2(x)for the function f(x)=x^2*ln(x), about a=1.
b) Use Taylor's Theorem to give the Remainder Term R2(x)=f(x)-P2(x), as a function of x and some zbetween 1 and x.
c) Use the fact that 1<z<x,and the fact that 0<ln(z)<1 for all 1<z<2, to find an upper bound on R2(x)when 1<x<2. Enter this bound as a function involving x (but not z).
d) Use the upper bound to enter a value p for which |R2(x)|<0.001 for all 1< x < p.
How have you personally been challenged to draw from a diverse pool of individuals in your experience of "close" friendships? What are some of the barriers, if any?
application of differential calculus in economics profit cost and revenue function.the total cost cq of production
The price of a gallon of unleaded gas has risen to today. Yesterday's price was . Find the percentage increase. Round your answer to the nearest tenth of a percent.
If each unit of labor costs $500 and each unit of capital $200, and the amount allocated to labor and capital is $300,000, use Lagrange multipliers to determine the number of units of labor and capital which maximizes the level of production.
Need a one page paper that answers the following. I will provide a link to the information lectures powerpoints if you message me.We discussed the logical progression of a Bill of Material (BOM) (from "As Designed" to "As Planned" to "As Built" to "A..
Joe has a ring weighing 20 grams made of an alloy of 20 % silver and the rest gold. He decides to melt down the rings and add enough silver to reduce the gold content to 73 %. How many grams of silver should he add?
The measurement of the side of a square is found to be 12 cm with a possible error of 0.05 cm. Use differentials to estimate the propagated error ΔA in computing the area of the square.
A garden is in the shape of a rectangle 47 feet long and 25 feet wide. If fencing costs $7 a foot, what will it cost to place fencing around the garden
dots sells t-shirts 2 and shorts 4. in april total sales were 600. people bought 4 times as many t-shirts as shorts.
Find the net cash flow vector. Using your answers to (a) and (b), compute 1V and 2V. Explain briefly why your answers to (c) are negative.
They wonder if it would be wise to find a less expensive house to reduce the amortization period to 20 years. What would be the maximum mortgage they could afford assuming that only the amortization period changes?
Determine the possible range of values of x1 and x2.
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