fractions, Mathematics

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Extreme value theorem, Extreme Value Theorem : Assume that f ( x ) is cont...

Extreme Value Theorem : Assume that f ( x ) is continuous on the interval [a,b] then there are two numbers a ≤ c, d ≤ b so that f (c ) is an absolute maximum for the function and

Linear programming , Use the simplex method to solve the following LP Probl...

Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0

Prove that sec2+cosec2 can never be less than 2, Prove that sec 2 θ+cosec 2...

Prove that sec 2 θ+cosec 2 θ can never be less than 2. Ans:    S.T Sec 2 θ + Cosec 2 θ can never be less than 2. If possible let it be less than 2. 1 + Tan 2 θ + 1 + Cot

Logarithmic function:solve for x: 4 log x2, Solve for x: 4 log x = log (15 ...

Solve for x: 4 log x = log (15 x 2 + 16) Solution:              x 4 - 15 x 2 - 16 = 0                (x 2 + 1)(x 2 - 16) = 0                x = ± 4   But log x is

Prove intercept of a tangent between two parallel, Prove that the intercept...

Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre. Since Δ ADF ≅ Δ DFC ∠ADF = ∠CDF ∴ ∠ADC = 2 ∠CDF

Differential equations, Find the normalized differential equation which has...

Find the normalized differential equation which has {x, xex} as its fundamental set

Binary to decimal, 01010011 01100101 01101101 01110000 01100101 01110010 00...

01010011 01100101 01101101 01110000 01100101 01110010 00100000 01000110 01101001 00100001

Find the coordinates of the point p, Find the coordinates of the point P wh...

Find the coordinates of the point P which is three -fourth of the way from A (3, 1) to B (-2, 5).

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