Please do the following question handwritten. Also attached is question 1a as it is asked in the main question, which is question 2 1. By eliminating the parameter t from the following parametric equations, find an equa-tion in terms of x and y only whose graph is the same as the parametric curve. In eachcase, decide if there are are any restrictions on the x and y coordinates.(a) x = t³ + t,(b)x=t, y = √t, (t = R).(c) x = cos 2t, y ==Y t + 2, (t ≤ R).cos² t, (0 ≤ t ≤ π). 2. (a) Recall that or a parametric curve x = f(t), y = g(t), where f, g are continuouslydifferentiable, we have:h(t) =dyg' (t)dx f'(t)-where h is a function of the parameter t. Find h(t) for the parametric equationsin Q1(a).d²y dzdx² dx'(b) Following *, write down a similar formula for the second derivativeď²ywhere z = h(t). Hence compute as a function of t for the parametric equationsin Q1(a).dx²=

Given: Q1 (a), x=t3+t, y=13t+2, t∈R x=ft, y=gtht=dydx=g'tf't d2ydx2=dzdx, where z=ht To find: Using…

2. (a) Recall that or a parametric curve x = = f(t), y = g(t), where f, g are continuously differentiable, we have: dy = dx h(t) = g'(t) f'(t) where h is a function of the parameter t. Find h(t) for the parametric equations in Q1(a). d'y dz dx² dx' (b) Following *, write down a similar formula for the second derivative d'y where z = h(t). Hence compute as a function of t for the parametric equations in Q1(a). dx² -

2. (a) Recall that or a parametric curve x = = f(t), y = g(t), where f, g are continuously differentiable, we have: dy = dx h(t) = g'(t) f'(t) where h is a function of the parameter t. Find h(t) for the parametric equations in Q1(a). d'y dz dx² dx' (b) Following *, write down a similar formula for the second derivative d'y where z = h(t). Hence compute as a function of t for the parametric equations in Q1(a). dx² -

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 36E

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