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A particle is moving along the curve y=4sqrt{2x+1). As the particle passes through the point (4,12), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Find the dimensions of the rectangle of the largest area that has its base on the x axis and its other two vertices above the x axis and lying on the parabola y=8-x^2.
Prove the given Φ is either a trival homomorphism or 1- 1.
A rectangular is to be fenced off and divide in two by another fence parallel to one side of the playground. 720 feet of fencing is used. what are the dimensions and maximum area.
a building 270 feet tall casts a 70 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the persons eyes to the top of the building (assume 5 feet above ground)
Which of the following is/are characteristic(s) of a binomial probability experiment?
Assume Gary is at rest at noon, then accelerates at a constant rate of 3 ft/sec^2. Find the parametrization of the motion in terms of t, seconds after noon. How long does it take to reach a height of 500 feet?
Investigate puzzle and explain the solution to the paradox using mathematical reasoning.
Chuck travels 88 miles in the same time that Dana travels 78 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
Use the definition of the derivative to find f '(x) given Write an equation of the line tangent to the curve at the point P(-1, 7). Express the answer in the form ax + by = c.
Assuming that Earth is a sphere of radius 6378 kilometers, what is the difference in the latitudes of Lynchburg, Virginia and Myrtle Beach, South Carolina, where Lynchburg is about 400 kilometers due north of Myrtle Beach? (Round your answer to tw..
You see a distant flash of lightning, and then you hear a thunderclap 2 s later. The sound of the thunder moves at 343 m/s.
How many weighings of a balance scale are needed to find a lighter counterfeit coin among four coins? Describe an algorithm to describe the lighter coin using this number of weighings.
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