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Fermat's Theorem If f(x) has a relative extrema at x = c and f′(c) exists then x = c is a critical point of f(x). Actually, this will be a critical point that f′(c) =0.
Cylinder The below equation is the common equation of a cylinder. x 2 /a 2 + y 2 /b 2 = 1 This is known as a cylinder whose cross section is an ellipse. If a = b we
Probability of A is 85% Probability of B is 45% Probability A and B 56% What is the probability of not either A or B?
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if theta is a positive acute angle and 2sin theta +15cos square theta=7 then find the value of cot theta
Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+...+15+17)=
Find the least number that is divisible by all numbers between 1 and 10 (both inclusive). Ans: The required number is the LCM of 1,2,3,4,5,6,7,8,9,10 ∴ LCM = 2 × 2
A piece of cardboard in the shape of a trapezium ABCD & AB || DE, ∠ BCD = 900, quarter circle BFEC is removed. Given AB = BC = 3.5 cm, DE = 2 cm. Calculate the area of remaining p
Mean, variance, skewness and kurtosis of a probability density function f(r)that has a distribution of a passive scalar filed in a stationary isotropic turbulence for initial condi
A standard deck of cards contains 52 cards. One card is selected at random. Determine a) The probability that the card is a 8 or an Ace? b) The probability that the card is
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