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(i) Using the product and chain rules, differentiate the function f(x) = 2x3cos(ex + x2 + 5) with respect to x. (ii) Hence, find the Taylor polynomial P1(x) of the function f(x) about the point a = 1 and also find a Cartesian equation in R2 for the tangent line to the graph of f at the point (1, 2cos(e + 6)).
If a and b are positive numbers, what is all the information we can deduce about the relationship between the lines: L1: y = - ax + b and L2: y = (1/a)x + b?
problem adescribe clearly the geometric object determined by the condition.problem bshow that satisfies the
complete the inductive step for the case in which R is not performed on the last row of A
Follow up with explaining how these systems of linear equations or algebra sets would be most applicable in personal or professional real-world situations. Give specific example.
What is the relation between interest payments and sequences? Why is compound interest considered a geometric sequence?
When she is 30, Sue starts making annual deposits of $2,000 into a bondfund that pays 8% annual interest compounded continuously. Assuming that her deposits are made as a contiuous income flow, how much money will be in her account if she retires ..
carolyn and kim are selling lemonade this summer. it cost .10 to make each cup of lemonade.they are going to sell each cup of lemonade for .25. what is the least number of cups of lemonade they need to collect $10 more than they spent?
a game warden catches, tags and then releases 15 zebras. a month later, a sample of 20 zebras is collected and 6 of them have tags. use this information to estimate the size of the zebra population in that area.
a random sample of 36 cats found the average weight to be 9.8 pounds with a standard deviation of 2.4 pounds.a.
Sixty feet of fence is needed to enclose a rectangular dog pen. The length od the pen is 3 more than twice the width of the pen. What are the dimensions of the pen?
Write a quadratic equation in the variable x having the given number as solutions.Type the equation in standard form, ax^2 + b x + c =0 Solution: 6, only solution the equation is ? =0
statistics is a very powerful topic that is used on a daily basis in many situations. for example you may be interested
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