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Calculus, Calculus Calculus is a branch of mathematics which describes...

Calculus Calculus is a branch of mathematics which describes how one variable changes in relationship to another variable. It enables us to determine the rate of change of one

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A farmer grows apples on her 400-acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"

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A pilot is flying over a straight length of road. He determines the angles of depression of two mileposts, 5 miles apart, to be 32° and 48°. a) Find the distance of the plane f

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Lines- Common Polar Coordinate Graphs A few lines have quite simple equations in polar coordinates. 1.  θ = β We are able to see that this is a line by converting to Car

Find the total cost of the shop of arithmetic progressions, Raghav buys a s...

Raghav buys a shop for Rs.1,20,000.He pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs.5000 each. If the rate of interest is

#Regular Expression, Find the Regular Grammar for the following Regular Exp...

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

Shares and dividends, I have a maths assignment as- Use a newspaper to stud...

I have a maths assignment as- Use a newspaper to study and give a report on shares and dividends.

Equivalence class and equivalence relation, 1. For a function f : Z → Z, le...

1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc

., Two boys A and B are at two diametrically opposite points on a circle. A...

Two boys A and B are at two diametrically opposite points on a circle. At one instant the two start running on the circle; A anticlockwise with constant speed v and B clockwise wit

Find out the length of the parametric curve, Find out the length of the par...

Find out the length of the parametric curve illustrated by the following parametric equations. x = 3sin (t) y = 3 cos (t) 0 ≤ t ≤ 2? Solution We make out that thi

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