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1. A rock is thrown upward from the edge of a cliff. The rock follows the equation below.
s = [b] x [d] + 64t - 16t2
b=5, d=4
What is the greatest height above the ground that this rock will go?
2. You are designing a rectangular enclosure with [a] rectangular interior sections separated by parallel walls. If you have 300*[c] feet of fencing, what is the maximum area that can be enclosed?
a=2, c=6
triangle ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Find the orthocenter of triangle ABC.
Test using the traditional approach with α = 0.05
Assume that the field is algebraically closed and has zero characteristic, G is finite and representations are finite-dimensional.
What is the equation of the line through (1, 2) and (3, -1). What is the vertex of f(x) = x2 - 6x + 3. Using points, straight lines, and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.
the distance around a standard tennis court is 228 feet. if the length of the court is 6 feet more than 2 times the
Suppose that f is surjective. Is g ? f surjective?
Why is it important for a company to focus on its liquidity? What special challenges do entrepreneurial firms have in regard to remaining liquid?
solve the problem and its dual, and relate the solutions to your sketch for question 1
Let B = { 1,x,ex,xex} be a basis of a subspace W of the space of continuous functions, and let Dx be the differential operator on W. Find the matrix Dx relative to the basis B.
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
Maximize f = 2x + 6y subject tox + y ≤ 72x + y ≤ 12x + 3y ≤ 15
How many ways can we order a deck of 52 cards so that all the heats are together, all the clubs are together, all the diamonds are together and all the spades are together?
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