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Given a square of side 20 in. The midpoints of its sides are joined to form an inscribed square. The midpoints of this second square are joined to form a third square. If the process is continued endlessly, find the sum of the perimeters and the sum of the areas of all the squares, including the initial one.
Please show in detail how to solve the following area problem. Let R be the region bounded by the graphs of f(x) = 4 - x^2/4 +8x
A bookstore sells a total $4500 worth of math books, $3000 worth of science books, and $1200 worth of history books. the book store also sells several other types of books. the total sales are $11,000.
Find the surface integral (double integral over S) E dot dS, where S is the cylinder, x^2 + y^2 = 4, z is greater than or equal to 2 and less than or equal to 5, and the vector field F is F(x, y, z) = (0, 0, z^2)
When graphing a linear inequality, how do you select the area (which side of the line) that is being represented (and has to be shaded) by the inequality?
A student claims that anything that can be accomplished by a translation can be accomplished by a reflection. She claims that if A' is the image of A under a translation, then A' can be obtained by a reflection in the line(which is the perpendicul..
A ski jump is design to follow the path given by the equations: x=3.5t^2 and y=20.0+0.120t^4 - 3.00 sqrt(t^4+1) (0 less than or equal to (t) less than or equal to 4.00 s) ( x and y in m, t in s). Find the velocity and acceleration of a skier when ..
If a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution?
Problem on speed.
Possibility of selecting an executive committee, A city council with nine members must elect a 4 person executive committee consisting of a mayor
Let C^3 be equipped with the standard inner product and Let W be the subspace of C^3 that is spanned by u=(1,0,1) and u2=(1/sqrt3, 1/sqrt3, -1/sqrt 3). Project the vector v=(1,i ,i ) onto W.
Two trains leave stations 312 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 55 miles per hour. How long will it take for the two trains to meet?
Applications of exponential function: Principal, rate, time - evaluate an exact solution and the check your solution using the estimate of the "law of 72".
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