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Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
The Definite Integral Area under a Curve If there exists an irregularly shaped curve, y = f(x) then there is no formula to find out
The cost of renting a bike at the local bike shop can be represented through the equation y = 2x + 2, where y is the total cost and x is the number of hours the bike is rented. Whi
use the expansion of (1-x)^7 to find the value of 1.998^7 correct to five significant figures
Construct the finite automaton for the state transition table given below. Ans: The finite automata is displayed below. The initial state is marked along with arrow sign a
1/sec A+tan A =1-sin A /cos A
In a collection of 30 dissimilar birds, 15 eat worms, 18 eat fruit, and 12 eat seeds. Accurately 8 eat worms and seeds, 8 eat worms and fruit, 7 eat fruit and seeds, and 4 eat each
what is the value of integration limit n-> infinity [n!/n to the power n]to the power 1/n Solution) limit n-->inf. [1 + (n!-n^n)/n^n]^1/n = e^ limit n-->inf. {(n!-n^n)
Find the equation of the plane through (2, 1, 0) and parallel to x + 4y 3z = 1.
For inequalities we contain a similar notation. Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is jus
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