Find theequations of the tangent and normal to the given curves at the

1.	Find theequations of the tangent and normal to the given curves at theindicated points:(i) y = x4 − 6x3 +13x2 − 10x + 5 at (0, 5)(ii) y= x4 − 6x3 + 13x2− 10x + 5 at (1, 3)(iii) y = x3 at (1, 1)(iv) y = x2 at (0, 0)(v) x = cos t, y = sin t at
Answer» Find the equations of the tangent and normal to the given curves at the indicated points: (i) y = x⁴ − 6x³ + 13x² − 10x + 5 at (0, 5) (ii) y = x⁴ − 6x³ + 13x² − 10x + 5 at (1, 3) (iii) y = x³ at (1, 1) (iv) y = x² at (0, 0) (v) x = cos t, y = sin t at

Find theequations of the tangent and normal to the given curves at theindicated points:(i) y = x4 − 6x3 +13x2 − 10x + 5 at (0, 5)(ii) y= x4 − 6x3 + 13x2− 10x + 5 at (1, 3)(iii) y = x3 at (1, 1)(iv) y = x2 at (0, 0)(v) x = cos t, y = sin t at

Answer»

Find the
equations of the tangent and normal to the given curves at the
indicated points:

(i) y = x⁴ − 6x³ +
13x² − 10x + 5 at (0, 5)

(ii) y
= x⁴ − 6x³ + 13x²
− 10x + 5 at (1, 3)

(iii) y = x³ at (1, 1)

(iv) y = x² at (0, 0)

(v) x = cos t, y = sin t at