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Question: 1. Show that the area formula for polar coordinates gives the expected answer for the area of the circle r = a for 0 ≤ θ ≤ 2π.
2. Show that the arc length formula for polar coordinates gives the expected answer for the circumference of the circle r = a for 0 ≤ θ ≤ 2π.
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?
Suppose that Phi (f) is an isomorphism. Is f then an isomorphism? Alternatively, suppose that Phi (G) and Phi (G')
Analyze and discuss the Bretton Woods Agreement and state what the agreement was for and why it was created. Include any difficulties they faced in getting the society to agree with their proposal.
find a connected graph with n edges that cannot be disconnected by the removal of any single edge.
use this distribution for finding confidence intervals for the population mean when the sample size is less than 30 and
Evaluate the current compensation philosophy for your organization or an organization of your choosing (from a third-person perspective). Write a three-to-five page paper (not including the title and reference pages). Your paper should be written ..
Find an equation for the material surface for t > 0 and show that its "volume" (i.e., area) is conserved. What property of the velocity guarantees that the volume must be conserved?
Student life does not generally afford a great deal of free time to pursue your personal interests; however, at one point, you may have considered turning a personal interest or hobby into an official enterprise. Today, you have finally decided to..
Name three methods of solving quadratic equations. Provide an example of solving a quadratic equation (same equation, two methods) using at least two different methods.
a right circular cone of height 3 and radius (at the base) equal to 8. What are the dimensions of such a cylinder which has maximum volume?
Obviously, its impossible to solve these problems by dividing, because the polynomials are such lage degree. Use one or more theorem to solve these problems without actually dividing.
Suppose that an object is projected in such a way that its height above the ground in feet after t seconds is given by s(t) = -16t2 +48t + 46. Find the maximum height of the object.
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