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Last week, Tom drove 284 miles. This week, he drove miles. Using , write an expression for the total number of miles he drove in the two weeks.
There are two lines through the point (2,-3) that are tangent to y=x²+x. Find the x-coordinates of the points where these lines touch the parabola.
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Consider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box.
Make an interval estimate of the mean so that you are 90 percent confidant that the true mean is in your interval.
A 6 foot tall man is standing near a tree on level ground. If the man's shadow is 4 feet long, how many feet tall is the tree?
A farmer decides to enclose a rectangler garden, using the side of the barn to enclose one side of the area, what is the maximum area the farmer can inclose
A poster is to have an area of 150 in^2 with 1 inch margins at the bottom and sides and a 5 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
A sample of 13 brands of caffeinated coffee had a mean caffeine level of 119.6 mg and a standard deviation of 52.5. The population is normally distributed. Compute a 90% interval for the mean caffeine level.
A pig farmer wants to enclose a rectangular area and then divide it into five pens with fencing parallel to one side of the rectangle. There are 650 feet of fencing available to complete the job. What is the largest possible total area of the five ..
A pendulum swings through an angle of 20 degrees each second.If the pendulum is 40 inches long, how fast is the tip of the pendulum swinging?
To accomplish this reduction, management decides that the new bar should have teh same 3-cm thickness, but the length and width of each should be reduced an equal number of centimers. What should be the dimensions of the new candy bar?
In a lengthy manuscript it is discovered that only 13.5% of the pages contain no typing errors. If we assume that the number of errors per page is a random variable with a Poisson distribution, find the percentage of pages that have exactly one or..
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