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Question 1 A car moved distance S meters in a time t seconds according to...

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Calculus

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Question 1 A car moved distance S meters in a time t seconds according to the formula S 3t 2t 4t 1 Determine 1 1 velocity at i t 0 ii t 1 5s 1 2 Acceleration at i t 0 ii t 1 5s Question 2 Let f x x 2x 1 2 1 Find the equation of the tangent at x 1 2 2 Determine the equation of the normal to the tangent line at x 1 Question 3 If f x 3 1 Determine the equation of the tangent at x 1 3 2 Determine the equation of the normal to the tangent line at x 1 Question 4 Determine the derivative of the following functions with respect to the independent variables 4 1 yxsinx cos 2x sin 4x 4 2 y Question 5 Use logarithm differentiation techniques to determine the y of the following functions 5 1 y 5 2 Inx cos3x x sin3x e t sin 2t 5t Question 6 Determine the derivatives of the following inverse trigonometry functions tan x 6 1 f x 6 2 h t tcos 1 et 5 3 3 3 4 4 5 6

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