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Find the equations of the tangent and normal to the given curv

Question

Find the equations of the tangent and normal to the given curves at the indicatedpoints:(i) $y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5$ at $(0, 5)$ (ii) $y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5$ at $(1, 3)$ (iii) $y = x^{3}$ at $(1, 1)$ (iv) $y = x^{2}$ at $(0, 0)$ (v) $x = cos t, y = sin t a t t = \frac{π}{4}$

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Find the equations of the tangent and normal to the given curves at the indicatedpoints:(i)

y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5

(0, 5)

(ii)

y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5

(1, 3)

(iii)

y = x^{3}

(1, 1)

(iv)

y = x^{2}

(0, 0)

(v)

x = cos t, y = sin t a t t = \frac{π}{4}

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Question Text

Find the equations of the tangent and normal to the given curves at the indicatedpoints:(i)

y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5

(0, 5)

(ii)

y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5

(1, 3)

(iii)

y = x^{3}

(1, 1)

(iv)

y = x^{2}

(0, 0)

(v)

x = cos t, y = sin t a t t = \frac{π}{4}

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