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A stone is tossed into a pond creating a circular ripple whose radius increases at a rate of 3 feet per second. In square feet per second, how fast is the area of the ripple increasing 15 seconds after the stone hits the water?
Could you show me the easiest steps needed to prove the theorem of the Triangular inequaity for II . IIp (also called Minkowsky inequality) for L^p spaces.
what is the value of k? The initial population at time = 0? the size of the bacterial population after 5hours?
Write the statement in symbolic form (Let p: The tent is pitched. q: The bonfire is burning. #40, The bonfire is not burning, however the tent is pitched.
The revenue from marketing x units of product I and y units of product II is 105x + 121y - .04xy - .1x2 - .2y2. Find the values of x and y that maximize the monopolist's profits.
Which variable in the simple interest equation I = prt represents the original amount of money borrowed or invested?
A rectangular field has an area of exactly 1 square mile. if the field has a length of 250 yards and 3 inches, what is the width of the field? Give your answer in feet and inches, and round to the nearest inch. What is the perimeter of this field?
A solution of 68% vinegar is to be mixed with a solution of 25% vinegar to form 344 liters of a 52% solution. How many liters of the 68% solution must be used?
a plane flying with a tailwind flew at a speed of 460 mph, relative to ground. When flying against the tailwind, it flew at a speed of 310mph. Find the speed of the tailwind.
At a particular University students must receive one of the following grades: A, B, C, D and F. What is the minimum number of students required in a course to ensure that at least 5 will receive the same grade?
Let diamond-sin(t) give the y-coodinate of a point that is t units counterclockwise along the perimeter of the diamond from the point (1,0).
A patient is being treated with laser therapy to remove a tumour that is located behind a vital organ. The tumor is 5.7 cm below the skin. To avoid the organ, the entry point of the laser must be 12.4 cm above the tumour along the skin.
Consider the basis B={(3,2),(1,-4)} for R^2, Use the Gram-Schmidt process to rewrite this basis as an orthonormalized basis.
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