Sketch the curve 3x2 y = 2x2 – 5 finding maxima, minima, points of inflection, vertical and horizontal asymptotes. Also find where the graph is increasing, decreasing, concave up, and concave down. If an answer does not exist, answer "dne" (without the quotes). If an answer is infinite, answer "inf" for positive infinity "ninf" for negative infinity (without the quotes). If more than one answer, list them from smallest to largest. 1. local maximum at x = 2. local minimum at x = dne 3. point of inflection at x = dne

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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.