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In your reading, you have seen how organizational structure and controls affect a company's performance. Please respond to both of the following prompts:
Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer. Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer.
Explain why the dimension of the eigenspace for λ is k.
a group of investors wants to develop a chain of fast-food restaurants. in determining potential costs for each
Find the curvature of the curve r(t) = 3 sin (2t)j + 3 cos (2t)j at (0, 3). Find the arc length of r(t) = 3 sin (2t)i + 3 cos (2t)j + 8tk. between t = 0 and t = π.
consider a linear transformation T on R3 which reflects each vector about the line spanned by [1 2 3 ]. Find a basis B such that B-matrix of T is diagonal.
A rectangular enclosure must have an area of at least 1400 yd^2. If 180 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=88t-16t^2. What is the maximum height that the ball will reach?
Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundredss of liters) is given by C(x) = x3 -2x2 + 8x + 50
draw a triangle PQR such that angle Q=115degree.Draw its altitudes PL and QM to the lines containing opposite sides .let the two altitudes meet at H .Join RH meeting PQ at N.
Determine the exchange table for this economy, where the columns describe how the output of each sector is exchanged among the three sectors.
A farmer has 200 yards of fencing with which to enclose a rectangular field. One side of the field can make use of a fence that already exists. What is the maximum area that can be enclosed?
Prove that there cannot be a nilpotent group N generated by two elements with the property that every nilpotent group generated by two elements is a homomorphic image of N
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