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Suppose f is an odd function and is differentiable everywhere. Prove that for every positive number b, there exists a number c in (-b,b) such that f prime (c)= f(b)/b
Give an example of an exponential function. Find this exponential function's inverse, which will be a logarithmic function. Plot the graph of both the functions.
Give examples to show that the finiteness of the collections in parts c and d is essential. For any finite collection G1, G2, ...., Gn of open sets, intersection (at the top of the intersection sign is n and at the bottom is i=1) of Gi is open.
On a road trip, five friends drove at 55 mile per hours to California. On the way home, they took the same route but drove 65 miles per hour. How many miles did they drive on the way to California if the round trip took 10 hours?
An irrigation sprinkler in a field of lettuce sprays water over a distance of 25 feet as it rotates through an angle of 155°. What area of the field receives water? If necessary, round the answer to two decimal places.
Determine the probability on rating
A determined gardener has 130 ft of deer-resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area that is enclosed to be at least 1000 ft2. What range of values is possible for the length of her ..
A random sample of 33 adult men had a mean weight of 182.5 pounds and a standard deviation of 22.5 pounds. Find a 99% confidence interval for the mean weight of adult men.
If your real estate taxes are $4,500 annually and you know that the rate is 3%, what is the value of your house?
rancher has feet of fencing to enclose a rectangular corral with a dividing fence parallel to one side. What dimensions will produce the largest total area?
A major league pitcher can throw a baseball in excess of 48.8 m/s. if a ball is thrown horizontally at this speed, how much will it drop by the time it reaches the catcher who is 15.7 m away from the point of release?
Create a joint probability table
What is the relation between interest payments and sequences? Why is compound interest considered a geometric sequence?
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