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A water trough is 10 meters long and a cross-section has the shape of an isosceles trapezoid that is 30 cm wide at the top, and has height 50 cm. Water is poured into the trough. Write the the volume of water V in the trough as a function of the height h of the water.
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^14 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
Who gets to the door first? How many turns does it take each student to reach the door.
Two hundred stones are placed on the ground 3 feet apart, the first being 3 feet from a basket. If the basket and all the stones are in a straight line, how far does a person travel who starts form the basket and brings the stones to it one by one..
Example of Sets in applicable areas such as (market research, politics, medicine, etc.). For example, a college student may be in a particular category in a set depending on degree program:
Based on your research, do you think it is reasonable to expect this house to be worth $220,000. Justify your answer based on appreciation rates in your area.
Seawater has density 1025 kg/m3 and flows in a velocity field v=yi+xj, where x ... where x, y, and z are measured in meters and the components of v in meters per second. Find the rate of the flow outward through the hemisphere x2+y2+z2=9, z >0
What are rational expressions? Why must we always be mindful of the final value of the denominator in a ration expression? For example, consider the rational expression 3x(x^2-16). What values in the denominator must be we be mindful of? Explain w..
Find the mass and center of mass of a wire in the shape of the helix x = t, y = cos(t), z = sin(t), 0 ≤ t ≤ 2π, if the density at any point is equal to the square of the distance from the o.
Apply DeMoivre's Theorem to solve the following: any angles that are multiples of pi/6, pi/4, pi/3, pi/2 or pi must be converted back into regular complex form!
If the tree was 7 feet tall when it was planted, how tall will it be in 27 years? Round your answer to two decimal places.
A rectangular field is to be enclosed with a fence. One side of the fence is against an existing fence, so that no fence is needed on that side. If material for the fence costs $2 per foot for the two ends and $4 per foot for the side parallel to ..
find the normal, transverse, axial, and normal base circular pitches the transverse pressure angle, and the pitch diameters.
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