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A heavy rope, 60 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 150 ft high.
How much work W is done in pulling the rope to the top of the building?Approximate the required work by a Riemann sum.
Two boxes of brazils are mathematically similar, their lengths are 12cm and 24cm. The surface area and volume of the smaller box are 250cm2 and 240cm2 respectively.
ill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $6000 plus 9% sales tax. How much are the monthly payments Jill must make to her fathe..
The perimeter of a triangle ABC is 54. If the triangle has side lengths AB=3x,BC=4x, and AC=5x, find the lengths of each side.
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
Check that N(t) = t/(1 +ct) is a solution of the differential equation dN/dt = N^2/t^2. Treat c as an unspecified constant.
ticle is moving along the curve y=4sqrt{2x+1). As the particle passes through the point (4,12), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Probability of speeding violations, A sample of 2000 licensed drivers revealed the following number of speeding violations
in a company with 3000 employees, the monthly salaries are normally distributed. The mean salary is $2700, with a standard deviation of $400. About how many of the employees earn more than $2460 per month?
Find the mean, median and standard deviation.
Fred invests $3000 more in an account that pays 4% simple interest than he invests in an account that pays 3% simple interest. If the total interest earned for the first year is $610, how much did Fred invest in each account?
Solve the given triangle.
Write a plane equation for plane passing through P (1,2,3) and perpendicular to n = . Write a plane equation for plane passing through P(1, 2, 3), Q(-1,0,1) and R(0,0,1).
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