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A cylinder is inscribed in a right circular cone of height 7.5 and radius (at the base) equal to 5.5. What are the dimensions of such a cylinder which has maximum volume?
A brief and an original writeup has been provided to explain the student community the concept of vertical lines. A graphical example of equation x=4 has been attached to aid the understanding of the concept.
What is degree of polynomial and is it a monomial, binomial or trinomial? Find the quotient and remainder
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
Dental services. The national cost C in billions of dollars for dental services can be modeled by the linear equation C 2.85n 30.52, where n is the number of years since 1990
If a rock is thrown upward on the planet Mars with a velocity of 19 m/s, its height (in meters) after t seconds is given by H = 19t - 1.86t2.
One airplane is approaching an airport from the north at 149 km/hr. A second airplane approaches from the east at 246 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 27 km away from the airport an..
A 64 inch wire is to be cut. one piece is to be bent into the shape of a square, whereas the other piece is to be bent into the shape of a rectangle whose length is twice the width. find the width of the rectangle that will minimize the total.
Describe objects that have each of the following types of symmetry.
the volume of an open rectangular box with a square base is 32 cubic inches. find the dimensions of the box with minimum surface area.
find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 meter per hour.
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 10-x^2. What are the dimensions of such a rectangle with the greatest possible area?
Use the semi-direct product construction to construct a nonabelian group of order pq, where p, q are prime numbers with q = 1 mod p
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