B. Solve for the differential equation of the following families of curves: (1) Family of parabolas with axis of symmetry at y-axis (2) Straight lines with slope and x-intercept equal (3) Family of parabolas with vertex and focus on the x-axis, opening to the right

Q: How do you find the equation of the tangent line to the parabola for y = x2 − 3x − 1 at x = 4.

A: The equation of the given parabola is y=x2-3x-1. We have to find the equation of the tangent line to…

Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

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Q: Answer the following questions, given the equation y = -2 -x+3 + 1: a) Graph the function using a…

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Q: Find the slopes of the tangent lines to the ellipse 4x +y = 40 at y=2. The smaller slope is The…

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Q: Determine the equation of the isogonal trajectories of the curves y = ce* if the angles of the…

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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.