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1.
a. use quotient rule to find derivative of this function. f(x) = (20+16x-x^2)/(4+x^2).
b. Find any stationary points of the function from 1a. An use the first derivative test to see whether they are local maximum or local minimum of f(x).
c. what are the maximum and minimum values of the function f(x) at interval [-6,2]
2.
a. differentiate the following using composite rule: g(x)=sqrt(1+x^2)
b. use the answer from 2a and composite rule to find the derivative of: k(x)=ln(x+sqrt[1+x^2])
c. using answer 2b, solve the initial value problem:
dy/dx =y/(sqrt[1x^2]) (y>0) y=2 when x=0.
(give answer in explicit form.)
Find the expected value (to you) of the game. If you play one game would you expect to win or lose the game? Explain.
The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 12. If 600 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
Suppose that derivative of the function f is given by f'(x) = 3x and suppose that the point (4,2) is on the graph of f. Write an equation of a line tangent to the graph of f at the point (4,2)
Data and Probability, 1. How many variations in first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners? In a Chinese restaurant, the menu lists 8 items in Column A and 6 items in column B. To order a dinner, the dine..
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A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
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When we need to find eigenvalues and eigenvectors in algebra, we start by finding the characteristic polynomial of a matrix. In this problem, we will find the characteristic polynomial of a matrix, A.
Trees can be used for many applications in computer science. One of these applications is decision-making, which is often used in the creation and analysis of databases.
Determine the population proportion
alculate the ninety-nine percent confidence interval find the mean gasoline mileage for 2006 cars when horsepower is 220.
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