Engineering Mathematics For Diploma 1st Year 2nd Sem

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5. Find the equation of the ellipse whose focus is (– 1, 1), eccentricity is 1/2 and whose directrix is x – y + 3 = 0. 6. Find the equation of the parabola with (i) focus (1, –1) and directrix x – y = 0 (ii) focus (0, 0) and directrix x – 2y + 2 = 0 (iii) focus (3, – 4) and directrix x –y + 5 = 0 PART – C 1.

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5. Find the equation of the ellipse whose focus is (– 1, 1), eccentricity is 1/2 and whose directrix is x – y + 3 = 0. 6. Find the equation of the parabola with (i) focus (1, –1) and directrix x – y = 0 (ii) focus (0, 0) and directrix x – 2y + 2 = 0 (iii) focus (3, – 4) and directrix x –y + 5 = 0 PART – C 1.

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The section contains multiple choice questions and answers on first order first degree differential equations, homogeneous form, seperable and homogeneous equations, bernoulli equations, clairauts and lagrange equations, orthogonal trajectories, natural growth and decay laws, newtons law of cooling and escape velocity, simple electrical networks solution, mathematical modeling basics, geometrical applications, first …

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22/11/2020 · Sub Objective. This subject is divided into four units 1) Algebra, 2) Trigonometry, 3) Coordinate Geometry and 4) Vector. Upon completion of these Units the student shall be able to: 1.1 Use Logarithms in engineering calculations. 1.2 Resolve Rational Fraction into sum of Partial Fractions in engineering problems.

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A more complicated example. Suppose you needed to nd the derivative of y= h(x) = p x+ 1 ( p x+ 1 + 1)2. We can write this function as a composition of two simpler functions, namely, y= f(u); u= g(x); with f(u) = u (u+ 1)2. and g(x) = p x+ 1: The derivatives of fand gare f0(u) = 1 2(u+ 1) u2(u+ 1) (u+ 1)4.

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