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1. A point P(a,b) becomes (3,c) after reflection in x - axis, and (d,6) after reflection in the origin. Show that a = 3, b = - 6, c = 6, d = 2
2. If the pair of lines ax² + 2pxy - ay² = 0, bx² + 2qxy - by² = 0 are such that each pair bisects the angle between the other pair, then show that ab + pq = 0.
3. Find the equation of the circle concentric with the circle x2 + y2 - 8x + 6y - 5 = 0 and passes through the point (-2, -7)
3x2+5x-2
The value of a computer is depreciated over ?ve years for tax reasons (meaning that at the end of ?ve years, the computer is worth $0). If a business paid $2,100 for a computer, ho
Define a complete lattice and give one example. Ans: A lattice (L, ≤) is said to be a complete lattice if, and only if every non-empty subset S of L has a greatest lower bound
The equation -2x^2-kx-2=0 has two different real soultions. find the set of possible values for k.
Calculate the slope of the line: Example: calculate the slope of the line whose equation is y = 2x + 3 and whose y-intercept is (0,3). Solution: y =
Sherman took his pulse for 10 seconds and counted 11 beats. What is Sherman's pulse rate in beats per minute? A 10 second count is 1/6 of a minute. To find out the number of be
the amount required to raise 25 lb of water 15 of
what is answer ? + 5=10+5
Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.
David invests $17,000 into an account and at the end of 7 years, his account has a balance of $ 26,417.77. What is the interest rate (assuming annual compounding)?
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