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Given a structure shaped like a pyramid with a square base measuring 9 feet on a side and a height of 8 feet, what is the volume of the tent?
A cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, 40 cans of orange soda, 10 cans of ginger ale
We will take steps to find the tangent line to the graph of f at the general point (x,f(x)), and use it to find a tangent line with a specific property.
A single-loop negative feedback system has a loop transfer function. Determine the range of the gain K for which the system is stable.
Describe what cyclic groups are and show that they are abelian. Describe their structure and the structure of their subgroups and factor groups up to isomorphism.
Explain why an Abelianization fo G is unique up to isomorphism. Construct an Abelianization of G as follows: Let G' be the subgroup fo G generated by all commutators [x,y] = xyz^-1 y^-1, where x, y are real members of G.
Find the derivative of y with respect to x. y = sec ^ -1 (x^2 + 1), x > 0
Select and discuss two examples of real life objects that incorporate the parabolic shape. Explain why the parabolic shape was used for the objects.
Find the directional derivative at P(-2,2,-1) in the direction of Q(18,-2,4). Find the direction of maximum decrease at P. (your answer does not have to be unit vector.) What is the maximum rate of decrease?
Find the nth term of the given sequences - Write out the nth term for the continuation of the sequences
Give the horizontal asymptotes. Graph the function by dividing the axis and tell if the graph is above or below the axis for it's intervals.
Suppose a machine has three independent components with Exp(.1) lifetimes. Compute the expected lifetime of the machine if it needs all three components to function properly
Write a plane equation for plane passing through P (1,2,3) and perpendicular to n = . Write a plane equation for plane passing through P(1, 2, 3), Q(-1,0,1) and R(0,0,1).
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