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A cable weighing 0.6 pounds per foot is attached to a small 70-pound robot, and then the robot is lowered into a 50-foot deep well to retrieve a 7 pound wrench. The robot gets out of the well (carrying the wrench) by climbing up the cable with one end of the cable still attached to the robot. How much work does the robot do in climbing to the top of the well?
Give a real-life example of a situation in which you would use a system of inequalities, and for which the solution must be in the first quadrant.
If Tom Bombadil's house is 24 miles east of Hobbiton and 32 miles south, what is the straight line distance.
Show that vector p and q are orthogonal
You discover a planet orbiting a distant star that has about the same mass as the Sun. Your observations show that the planet orbits the star every 67 rm days . What is its orbital distance?
Calculate the compound interest.
Let D be the linear differential operator defined on the vector space V of infinitely differentiable functions f: R-->R by D(f)=F
Basic arithmetic problem - What is the overall percentage of five test grades: 96%, 98%, 89%, 95% & 97%? I need the work shown. If I took five tests and passed with the following percentages:
Calculate the mean and variance of profit where the mean and variance for the number of units produced are 500 & 900 respectively.
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
a pool measuring 8 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 792 square meters, what is the width of the path.
A plane heads on a bearing of 210* at 500 mph; the winds at the cruising altitude are 75 mph from the southwest to the north east.
Write a differential equation for A, the amount of caffeine in the body t hours after 7am and give the particular solution to this differential equation. How much caffeine is in the person's body at 5pm?
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