consider a finite rectangle in the plane. we will draw some number of lines that cut...

consider a finite rectangle in the plane. we will draw some number of lines that cut through the rectangle. In section 28.7.6 we define what we mean when we say that a map can be colored using two colors. Treat the rectangle that we just drew as a map, with regions defined by the lines that cut through it. Use induction to prove that, no matter how many lines we draw, the rectangle can be colored using two colors.

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Colby Messinger answered 3 years ago

Consider the solid that lies above the rectangle (in the xy-plane) R=[−2,2]×[0,2], and below the surface...

Consider the solid that lies above the rectangle (in the xy-plane) R=[−2,2]×[0,2], and below the surface z=x2−4y+8. (A) Estimate the volume by dividing R into 4 rectangles of equal size, each twice as wide as high, and choosing the sample points to result in the largest possible Riemann sum. Riemann sum =? (B) Estimate the volume by dividing R into 4 rectangles of equal size, each twice as wide as high, and choosing the sample points to result in the...

JAVA: Suppose we have a number of triangles and quadrilaterals in a 2-dimensional coordinate plane. we...

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We consider a rectangular parallelepiped-shaped box based on a rectangle and open from above. The height...

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If we had 20,000(subscript 10) memory locations, what would be the least number of address lines...

If we had 20,000(subscript 10) memory locations, what would be the least number of address lines needed to describe each location? (Hint: Change 20,000 to binary or hex and determine the number of bits needed.)

We draw 6 cards from a 52 card deck and let X = the number of...

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Radix sort was proposed for sorting numbers, but if we consider a number as a string...

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Consider some of the disaster events we have experienced or that you have seen in the...

Consider some of the disaster events we have experienced or that you have seen in the news during the past few years, occurring locally, across a state, nationally, or globally. What event do you think is most likely to be the next "big" disaster? Tell why you chose this event, and what you think the Public Health Response system's role should be in responding to it.

in class we discussed a number of situations where a seller could recognize(at least some) revenue...

in class we discussed a number of situations where a seller could recognize(at least some) revenue before it had fully completed every obligation under a contract which of the following items does NOT represent one of these situations a) a partially fulfilled sales contract with multiple performance obligations b) a sales contract where cash collection is not probable c) a partially completed sales contract that qualifies for revenue recognition overtime d) a bill-and-hold sale e) a sales contract with a...

To begin your discussion, consider some of the things we learn from interactions with the four...

To begin your discussion, consider some of the things we learn from interactions with the four major agents of socialization (family, peers, education, and media)? Make sure to consider both child socialization and adult socialization for each of the agents. Next, consider how the agents of socialization shape one other. For example, in what way might family life be shaped by education or the media? Give examples from your own experience and from the text.

We discussed a number of theories related to personality and personality differences. 1. When you consider...

We discussed a number of theories related to personality and personality differences. 1. When you consider your own personality and personalities of others you know, which of these theories can you relate to most or which of them best describes who you are? (1 paragraph) 2. Can you think of an example for the following Freudian defense mechanisms, using popular tv/movie/book characters? a. Repression : b. Projection c. Regression: d. Displacement e. Compensation 3. Research has found a 50/50 relationship...

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