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Linear Approximations In this section we will look at an application not of derivatives but of the tangent line to a function. Certainly, to get the tangent line we do have to
The perimeter of a rectangular swimming pool is 60m. The length of the pool is 4 m more than the width. What is the width of the pool?
QUESTION (a) A bowl contains ten red balls and ten blue balls. A woman selects balls at random without looking at them. i) How many balls must she select to be sure of havin
If n is positive integer greater than 1 and a & b both are positive real numbers then, Consider that on occasion we can let a or b to be negative and yet have these propert
how to make 2.3 into a fraction?
Determine if the following series converges or diverges by using limit comparison test. Solution To make use of the limit comparison test we require to find out a seco
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
Suppose m be a positive integer, then the two integer a and b called congurent modulo m ' if a - b is divisible by m i.e. a - b = m where is an positive integer. The congru
The Addition Rule: Mutually Exclusive Events P(A or B or C) = P(A) + P(B) + P(C) This can be represented by the Venn diagram as follows:
A washing machine, cash price $ 850 is available on the following terms: A deposit of $ 100 followed by equal payments at the end of each month for the next 18 months, if intere
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