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Problem 1. Find the maximum and the minimum distance from the origin to the ellipse x 2 + xy + y 2 = 3. Hints: (i) Use x 2 + y 2 as your objective function; (ii) You c
A card is drawn from a well shuffled deck of cards (i) What are the odds in favour of getting spade? (Ans: 1:3, 3:1, 3:10, 1:25) (ii) What are the odds against getting a spa
evaluate limit as x approaches 0 (x squared times sin (1/x)
Determine the differential for following. y = t 3 - 4t 2 + 7t Solution Before working any of these we have to first discuss just
The perimeter of a parallelogram is 50 cm. The length of the parallelogram is 5 cm more than the width. Find the length of the parallelogram. Let w = the width of the parallelo
manual for this book
Factor by grouping each of the following. 3x 2 - 2x + 12x - 8 Solution 3x 2 - 2x + 12x - 8 In this case we collect the first two terms & the final two te
A survey of 400 of recently qualified chartered Accountant revealed that 112 joined industry, 120 stated practice & 160 joined the firms of practicing chartered accountants as paid
1. The length of a rectangle is 2 times its width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle. 2. The length of a rec
I need help with this question: Find the probability that two quarters and a nickel are chosen without replacement from a bag of 8 quarters and 12 nickles.
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