# Aieee Math Shortcut

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1.Which one of the following represents the correct dimensions of the coefficient of viscosity? (b) [MLT-1] (c) [ML-1 T-1] (d) [ML-2 T-2] (a) [ML-1 T-2] A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to: (b) ex (c) x (d) log ex (a) x2 A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds? (a) h/9 metre from.aieee maths.mdi nri academy

Statement - 1 : gof is differentiable at x = 0 and its derivative is continuons at that point. Statement - 2 : gof is twice differentiable at x = 0 (1) Statement - 1 is true , Statement - 2 is true ; Statement - 2 is not a correct explanation for Statement - 1 2) Statement - 1 is true , Statement - 2 is false 3) Statement - 1 is false , Statement - 2 is true . 4) Statement - 1 is true , Statement - 2 is true Statement - 2 is a correct explanation for Statement - 1 (2)aieee class maths limits derivatives

Definition of a limit Trigonometric limits Exponential and logarithmic limits Approximations Some useful expansions Indeterminate forms Limit of greatest integer function Sandwich Theorem Derivative of a function Some differentiation formulae Algebra of differentiation Differentiation of implicit functions Derivative of parametric functions Derivative of a function w.r.t. another function Use of log in finding derivatives of the function of type (f(x))g(x) Differentiation using trigonometrical .
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