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Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle.
Area A rectangle is bounded by x-axis and the semicircle y=√ 25 - x2 (see figure). What length and width should the rectangle have so that its area is a maximum?
4. Consider a glass factory that can produce four different kinds of glasses: beer, wine, drinking, and schnapps. Glass manufacturing uses machine hours, labour, and sand as its main inputs.
Find the probability that the first card is a King and the second card is a queen. Express your answer as a simplified fraction
a farmer has 400 feet of fence with which to fence a rectangular plot of land. the plot lies along a river so that only three sides need to be fenced. estimate the largest area that can be fenced.
Is the surface integral of a closed surface (for example the surface is the cylinder x^2+y^2=9 between the planes z=0 and z=2, together with the top and the bottom) supposed to be 0?
Let H be a group and tau_1 : H ---->G_1, tau_2 : H ----> G_2, ... , tau_n : H -----> G_n homomorphism with this property: whenever G is a group and g_1 : G ---->G_1, g_2 : G ----G_2, ..., g_n : G ----> G_n are homomorphism
The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
The price of a notebook has risen to today. Yesterday's price was . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Compare and contrast solving equations and solving inequalities. What is similar about each process? What are the differences?
The radius of a circular disk is given as 19 cm with a maximum error in measurement of 0.2 cm.
Find the nth term of the given sequences - Write out the nth term for the continuation of the sequences
A poster is to have an area of 150 in2 with 1 inch margins at the bottom and sides and a 5 inch margin at the top. What dimensions will give the largest printed area?
Recurrence relations with complex characteristic roots
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