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If you have 140 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
the base of a solid is an ellipse whose major axis and minor axis are 12 and 8cm long, respectively. what is the volume of the solid if every section perpendicular to the major axis is an is an equilateral triangle.
Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.
evaluate approximately the ratio of the mass of the sun to that of the earth. lunar month 27.3 days, mean radii of the earth's orbit 149000000 km and that of moon's orbit 380000 km.
Explain how the pigeon-hole principle can be used to show that among any 11 integers, at least two must have the same last digit.
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!"
The ends of a horizontal water tank are parabolic. The tank is 9 feet tall and 6 feet across at the top. Find the fluid force on a parabolic end of the tank if the tank is 5 feet full. Assume that the water weighs 62.4 pounds per cubic feet.
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
at a local market the average weekly grocery bill is $57.85 with a standard deviation of $14.25 what is the lowest amount spent by the upper 25% of market customers?
how can we solve an ordinary second-order non-homogeneous euler equation by laplace tansfomation?
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
imeter of the rectangle is 310ft. the width is 35ft less than the length. Find the width and length of the rectangle.
Determine the equation for 9(t) thus obtaining differential equations for the functions x(t) and y(t). What initial conditions do these functions satisfy at t = 0?
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