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A plane travels 160 miles on a bearing of N 50° E and then changes its course to N 67° E and travels another 160 miles. Find the total distance traveled north and the total distance traveled east.
A windshield wiper is 18 inches long and has a blade 12 inches long. If the wiper sweeps through an angle of 130 degree, how large an area does the wiper blade clean? Round your answer to the nearest square inch.
Use implicit differentiation to find an equation of the line tangent to the curve x^2 + y^2 at the point (3,-1). Use implicit differentiation to find an equation of the line tangent to xy=12 at the point (4,3)
Employees of a local university have been classified according to gender and job type. The following table provides data about the employees.
If you have 284 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose? Give your answer correct to the nearest square foot.
There are $560 available to build a fence around a rectangular garden. One side must be reinforced and will cost $10 per foot. The other three sides can be built for $4 per foot. Find the dimensions of the largest possible garden which can be buil..
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.
Let A be the bounded region enclosed by the graphs of f(x)=x and g(x)=x^3.
Estimate the projected population at the beginning of the year 2010.
the sum of two numbers is less than 18. The first number is 6 more than the second. What are the possible values of the two numbers?
Find the equation of parabola from the given data - Determine the equation of a parabola with vertex
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
Using the definition of big-O, show that 2n element of O(6*n^2). Using the definition of big-O, show that 6n^2 not element of O(2n)
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