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Find an equation of the sphere with points P such that the distance from P to A(-3, 5, 3) is twice the distance from P to B(5, 2, -2). Find its center and radius.
1 three-person problem of points pascal fermat and their old friend the chevalier de mere each put ge10.00 into a pot
The nth term of an A.P. is 6n+2. Find the common difference.Find the 6th term from the end of the A.P. 17, 14, 11,......,-40. For what values of n is the nth term of the following two A.P.'s the same. If the 8th term is f an A.P. is 31 and the 15th t..
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
Parameterize a cycloid: the path of a point on the circumference of a circle of radius a as it rolls without slipping along the positive x-axis.
a farmer has 1200 feet of fence and wishes to build two identical rectangular enclosures. What should be the dimensions of each enclosure if the total area is to be a maximum?
general relation between linear algebra and abstract algebra.
Find the initial position and the ending position. Find the total distance traveled by the object. Find where the velocity is positive Use interval notation.
Find the maximum volume of a rectangular box with square ends that satisfies the delivery company's requirements.
He decided that next time, he will get an enlarged tub that is similar, but has a linear scale factor of 1.5. How many kernels of popcorn should the enlarged tub hold?
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
Interest and Loan Calculations For thisAssignment you will write an essay to address the requirements described below.Your essay must be carefully planned and written using well-constructedsentences and paragraphs. Make sure that your grammar and sp..
The sides of a square increase in length at a rate of 2 meters / seconds. (a) At what rate is the area of the square changing when the sides are 10 meters long? (b) At what rate is the area of the square changing when the sides are 20 meters long?
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