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Question: Find the equation of the plane through the origin that is perpendicular to the line of intersection of the planes in Problem.
Problem: Find a vector parallel to the line of intersection of the planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.
Determine the equation(s) of the vertical and horizontal asymptote(s) of the rational function f(x) = x-2/2x2 + x - 1
The future value of a simple interested investment is given by S=P(1+rt), where P is the principal invested at a simple interest rate r for t years. What principal P must be invested for t=10 months at the simple interest rate r=5% so that the fu..
Suppose you have 82 feet of fencing to enclose a rectangular dog pen. The function A = 31x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the neare..
An orthogonal matrix is orthogonally diagonalizable.
During a surge in the demand for electricity, the rate, r, at which energy is used can be approximated by r = te-at.
An elementary class consists of 8 boys and 10 girls. a child is chosen at random and it is a girl. a second child is randomly chosen again from the remaining children annd it is a boy. was the probably of choosing the boy dependent on choosing the..
If you have 120 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
A toy rocket is launched from a 3.5 m high platform in such a way that its height, h (in meters), after t seconds is given by the equation h=-4.9t + 23.8t +3.5. How long will it take for the rocket to hit the ground?
a car is traveling at a cost velocity after two hours the car has traveled 110 miles after four hours the car has traveled 220 miles assuming a linear equation fits this situation find the distance that the car will travel after five hours.
the bottom of a storage tank at a rate of r(t) = 200-4t liters per minute, where 0≤ t ≤ 66. Find the amount of water that flows from the tank during the first 66 minutes.
DRIVING COSTS The average cost of owning and operating a car in the United States from 1991 through 2001 is approximated by the function.
If the solution to an equation is imaginary or irrational, it takes a bit more effort to check. Replace x by each given number to verify the following statement.
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