Find the value of d2y/dx2 at the point defined by the given value of t. x = 9 sin t, y = 9 cos t, t =  3pi/4   a) 2 square root of2   b) - 2squre root of2/9   c) -2   d) square root2/9

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A: Question- The area between the two loops of the limacon          r = 1 + 2  sin theta .

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.