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1. Show that there do not exist integers x and y for which 110x + 315y = 12.
2. If a and b are odd integers, prove that a2 +b2 is divisible by 2 but is NOT divisible by 4. Hint:
Any odd number can be written 2k + 1 for some integer k.
3. Prove that for any prime number p, √ p is irrational. Hint: Follow the same method that was used to prove √ 2 is irrational, by first supposing √ p can be expressed as a=b.
Two circles touch externally. The sum of their areas is 58 π cm 2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm) Ans:
A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 300. A girl standing on the roof of 20 meter high building finds the angl
cos inverse x -cos inverse 2x=pie\2
Examples of Linear Equation Please provide me some Examples of Linear Equation?
You''ve decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to
Determine the function f ( x ) . f ′ ( x )= 4x 3 - 9 + 2 sin x + 7e x , f (0) = 15 Solution The first step is to integrate to fine out the most general pos
1.) How does the monsoon influence the climate and vegetation of Southeast Asia? 2.) What is the main crop in Southeast Asia and the main systems by which it is produce? How and
WHAT IS INTEGER PROGRAMING
i have a question about discret math
Judgment Sampling Here the interviewer chooses whom to interview believing that their view is more fundamental because they might be directly affected for illustration, to find
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