Find an equation for the line tangent to the curve at the point define

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Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of d2y dx2 at this point. x = −cos⁡t, y = 3 + sin⁡t, t = π2 The equation for the line tangent to the curve at t = π2 is y = (Simplify your answer. Type your answer in slope-intercept form. ) d2y dx2|t = π2 = (Simplify your answer. )

Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of d2y dx2 at this point. x = −cos⁡t, y = 3 + sin⁡t, t = π2 The equation for the line tangent to the curve at t = π2 is y = (Simplify your answer. Type your answer in slope-intercept form. ) d2y dx2|t = π2 = (Simplify your answer. )

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Find an equation for the line tangent to the curve at the point defined by the given value of

t

. Also, find the value of

\frac{d^{2} y}{d x^{2}}

at this point.

x = - \cos t, y = 3 + \sin t, t = \frac{π}{2}

The equation for the line tangent to the curve at

t = \frac{π}{2}

is

y =

(Simplify your answer. Type your answer in slope-intercept form.)

{\frac{d^{2} y}{d x^{2}} |}_{t = \frac{π}{2}} =

(Simplify your answer.)

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