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Q No: 1. Tick () the correct answer. B D Sr. Question A C If f (x) = Vx-4 - 3x, then f (8) =: 21 - 24 -2(1 + 12) 22 -22 2 f(x) = 5x3 + 2x is function. Even Odd Both A& B None of these 3 dx dy (sin2x) =: cos2x sin2x -2cos2x 2cos2x f sin2xdx =: rising cos2x + c -cos2x + c 2cos2x + c 2 Domain of f(x) = = is set of all real 2 -2 Both B numbers except: 6 [ secxtanxax =: secz x + c in[secxtanx] + c secx + c tan x + c 7 2% =: 2x 2Inx 2* In2 2 Inx limx-100 7 =: 100 7 700 Name: Roll Number Time: 2 hours Subjective Note: Attempt ALL questions. Question No.2: Find limits if exist: (2+2=4) i. x2-x limx--1 2x2+5x-7 k2-16 ii. limk-+4 VK-2 Question No.3: UCATIO i. Find a dy ify = [sin (2x + 3)]4 WWii Find F'(v) if f(v) = sinav cosecav tion.com Question No.4: (4) Solve the equation y = 2x3 - 3x2 - 36x + 4 when = = 0 Question No.5: (4) Assuming that the equation determines differentiable function f such that y = f(x). Find y' when x4+ 4x2y2 - 3xy3 + 2x = 0