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Oil from a ruptured tanker spreads in a circular pattern. If the radius of the circle increases at the constant rate of 1.5 feet per second, how fast is the enclosed area increasing at the end of 2 hours?
What is the probability that Julio will win? If Jan didn't win, what is the probability that Julio did?
Given f(x)=x^3 on [0,1] and the partition P={0,1/8,1/3,2/3,1}, find four different Riemann sums R(f,P). Show that Chi_Q is discontinuous at every point where Chi_Q is the characteristic function for Q - Rational numbers.
two cars leave a city and heads in the same direction after 6 hours the faster car is 30 miles ahead of slower car.
If f is continuous on [0,1] and if (integral from zero to one of (f(x) x^n)dx)) =0 for n in the Naturals, prove that f(x)=0 on [0,1]/ Hint: The integral of the product of f with any polynomial is zero. Use the Weierstrass approximation theorem to ..
A closed cylindrical can is to be designed so that the can will hold 170cm^3 of oil. Find the dimensions of the can which requires the least amount of metal.
How do you find the surface area of a rectangular prism if the top is 5 the side is x+6 and the bottom is 2x-1?
a rectangular piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each corner, and the sides are turned up to make a box with an open top. The volume of the box is 616cm cubed. Find the original dimensions of the cardboa..
Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting.
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground?
A $60,000 loan was taken out at at 6.75% interest rate. The monthly payment is $500. What is the length of the loan?
Find a coordinate rule for a reflection across the line y = 2x. Then use the rule to find the image of triangle ABC
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