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1. Compare the result of this truth table to your original idea. If they agree, explain how they are compatible. If they do not agree, find the source of the error.
2. If you have some time left over, work on these proofs.
(a) For n ∈ N, prove that if n3 +6n2 -2n is even, then n is even.
(b) Let x ∈ R. Show that if x5 +7x3 +5x ≥ x4 +x2 +8, then x ≥ 0.
(c) Prove that an 8× 8 chessboard with a square missing cannot be tiled with dominoes.
(d) Prove that for n odd, an n×n chessboard missing its lower-right-hand corner can be tiled with dominoes.
A street has 20 houses on each side, for a total of 40 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street.
Then explain how the values of the slope affect the overall meaning of the equation.
If overhead is $2500 per month and the production cost per coat is $2000, find the cost equation and profit equation.
For f (x) = 3/x: Find f'(x). Find f'(2). Find an equation of the tangent line to the curve at x = 2
A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve traced by a point on the circumference of the smaller circle is called an epicycloid. Use the angle theta to find the set of parametric equations of ..
a store was for 26,500 20,000 was paid in cash and the remainder was paid for with land value at $50 an acre how many acres of land were received.
Use the Divergence Theorem to evaluate the following integral and find the outward flux of F through the surface of the solid bounded by the graphs of the equations.
a rod of 5m long leans against a vertical wall and its upper end is 4m above the ground. If the upper end of the rod slides down by 1.2m, how far will the lower end of the rod move?
What might be wrong with an attempt to perform the same exercise with choosing friends, instead of fish? Have you ever heard of anyone who selected a spouse in this manner?
a researcher wishes to estimate the proportion of college students who cheat on exams.nbsp a poll of 490 college
How many ways can we fit 30 marbles in 7 boxes? Supposedly this is a problem that has a solution of the form, n + r - 1 choose r. Where r is the marbles in this case, and n is the boxes.
find the equation of the regression line for the given data. what is the predicted value of y when x -2? what is the
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