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Arc length Formula L = ∫ ds Where ds √ (1+ (dy/dx) 2 ) dx if y = f(x), a x b ds √ (1+ (dx/dy) 2 ) dy
Definition 1. Given any x 1 & x 2 from an interval I with x 1 2 if f ( x 1 ) 2 ) then f ( x ) is increasing on I. 2. Given any x 1 & x 2 from an interval
The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α .After walking a distance d towards the foot of the tower the angle of elevation is
Assume that the amount of money in a bank account after t years is specified by, Find out the minimum & maximum amount of money in the account throughout the first 10 years
Evaluate following integrals. (a) ∫ 3e x + 5 cos x -10 sec 2 x dx (b) ( 23/ (y 2 + 1) + 6 csc y cot y + 9/ y dy Solution (a) ∫ 3e x + 5 cos x -10 sec 2 x
Can you explain why is the steepness of a curve partially calculated by the units of measurement?
need help with consumer surplus
Time Series and Analysis It is the statistical or mathematical analysis on past data arranged in a periodic sequence. Decision making and planning in an organization includes
Partitioning - an action of taking away or removing some objects, and finding out how many remain. (e.g., there were 15 toffees in this container, and 10 have been eaten. How many
Can you show that a slope will vary along a curve (as opposed to a straight line)?
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