## Question

###### Consider the equation Ty" + Ty = 10. For some values of (T; Yo) , this equation deter- mines y as function of near (To:. Yo); in other words; y is an implicitly defined function near (Tu; Yo ) _Find the derivative d in general for the implicitly defined function: 2. Is (T,y) = (-1,2) one of the solutions to the equation?The point (T.y) = (1,-2) is a solution to the equation. Find the derivative of the implicitly defined function at the point (1,-2).Find the equation of the linc tangent to t

Consider the equation Ty" + Ty = 10. For some values of (T; Yo) , this equation deter- mines y as function of near (To:. Yo); in other words; y is an implicitly defined function near (Tu; Yo ) _ Find the derivative d in general for the implicitly defined function: 2. Is (T,y) = (-1,2) one of the solutions to the equation? The point (T.y) = (1,-2) is a solution to the equation. Find the derivative of the implicitly defined function at the point (1,-2). Find the equation of the linc tangent to the set of solutions to Ty" | ry = -10 at the point (1.

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