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Answer question 3 plz. Plz show me the full process with clear hand- writing. Thank you so much. where f (t), g(t) and h(t) are

Answer question 3 plz. Plz show me the full process with clear hand- writing. Thank you so much.

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where f (t), g(t) and h(t) are functions you should specify. 3. Find the curvature of the plane curve with equation y = f(x) at an arbitrary point (x, f(x)) on the curve, by using the parametrication r(x) = xi+ f(x)j.3. Find the curvature of the plane curve with equation y = at) at an arbitrary point (x, f (3)} on the curve, by using the parametrisation x} = 11+ f (1:) .1 One mark is given for presentation, i.e. clear writing and verbal explanations of logical ow. Examples: 1t =t2 (costi+sint'+;l), for Otgl. (l 1 J5 If you use the Table of Integrals provided at the back of Stewart 's Calculus book make sure that you understand how to derive any results that you use. Here you actually only need the substitution 1:) = t2 + 1. 2. Find the equation of the line which passes through the point (1, 2, 3) and is perpendicular to the plane 21: + y + 32 = 4. Express your answer in the form 0) = flt) i + 9(3) i + Mt) a where f(t), g(t) and Mt) are functions you should specify. 3. Find the curvature of the plane curve with equation y = f (:c) at an arbitrary point (1:, f (:13) on the curve, by using the parametrisation 3(a) = 11+ f (1:) .1 One mark is given for presentation, i.e. clear writing and verbal explanations of logical ow. Examples

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