# 2 AY:2019-2020 Sem-2 MATH/200 . Calculus Additional Instructions: 1. Students are advised to answer all the...

###### Question:  () To what new value should f (2) be assigned to make the function continuous atx=27 (Each part / Mark) 1. (b) Evaluate: lim (x-1)(1.7+3-2) Vx+8-3 (5 Marks) 3 AY:2019-2020 Sem-2 MATH/200 - Calculus / 2. (a) s = 84-254 +3 represents the position of a body moving in a line with sin meters and t in seconds with OSIS3 (5 Marks) a) Find the body's displacement for the given interval. b) Find the body's speed and acceleration at the end points of the interval. c) Find the body's acceleration when the velocity is zero. d) Find the body's speed when the acceleration is zero. dy 2. (b) Find , for the function: y= Acos" (1 + /) + (sin x) + 2"* + xel+(2-7) (5 Marks) (Derivative of each term - / Mark) dy 3. (a) Find for the function: y = sin(x) cot (5 Marks) (Rule . Mark Applying the rule. 3 Marks Simplification Mark) dy 3. (b) Find de (5 Marks) for the following function. Write down the answer in the simplest form (x+2)(2x+1) (Rule. Mark Applying the rule 3 Marks Simplification Mark) 4. (a) Find the equation of the line tangent to the curve at the given point for the parametric equations. x1+cost. y - 1-sin/ at (5 Marks) 6 (Derivative - 3 Marks Equation of langen- 2 Marks) 4. (b) Verify Mean Value Theorem for the function /(x)=5x - 4x +5 on (0,2). (5 Marks) 5. (B) Use the definition to find the function's derivative and then evaluate the derivative at the indicated point. 2 (5 Marks) 2x+x (5 Marks) dt 5. b) Use implicit differentiation to find for the following function 5-*** -cos" (wy) - 2 sin(3x+y) (Differentiation - 3 Marks dy - 2 Marks) dx ************************************* RRRRRRRRRR ALL THE BEST EL

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