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A steep mountain is inclined 74 degree to the horizontal and rises 3400 ft above the surrounding plain. A cable car is to be installed that will travel from a point 910 ft from the base (along the horizontal) to the top of the mountain. Find the shortest length of cable needed.
Find the solution of the initial value problem
The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by:
Water is pumped into the tank at a rate of two cubic feet per minute. How fast is the level of water in the tank rising when it is one foot from the top of the tank?
A college student is interested whether there is a difference between male and female students in the amount of time spending working out each week. The student gathers information from a random sample of male and female students on her campus.
If the bottom of the ladder slides away from the wall, how fast does x change with respect to theta when theta = pi/3
Programmers need to solve systems of equations, which often come up during the design of the games. As an example, suppose in a video game two persons (or objects) are traveling along linear paths
Kurt Daniels wants to buy a $30,000 car. He has saved $27,000. Find the number of years it will take for his $27,000 to grow to $30,000 at 4% interest compound quarterly.
Find the hydrostatic force (in lb) on one end of the tank if it is filled to a depth of 8 ft with gasoline. Assume the gasoline's weight density is 420lbft3 (In British units, "weight density" is the equivalent of g in SI units.)
Which of the following shows the equation balanced?
Find the following antiderivatives for each integral
A communication tower is fixed to the top of a building. From a point 10 m from the base of the building, the angle of elevation to the top of the building is 60°, and to the top of the tower is 68°. What is the height of the communication tower, ..
a box with no lid is created from a square of cardboard with a side length of 60 cm by cutting rectangles of length x by 2x from each corner (the extra side length of this square of 2x is folded over to create a double thickness side for added str..
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