Question: 3. {12 points] Slope fields and differential equations: y a. Sketch a slope field at each point on the given xyplane for the differential equation

3. {12 points] Slope fields and differential equations: y a. Sketch

3. {12 points] Slope fields and differential equations: y a. Sketch a slope field at each point on the given xyplane for the differential equation 5 = H; b. Describe all points in the icyplane for which the slopes on the slope eld are negative. Is there a finite or infinite number of points with negative slope on the slope field given? c. Let y = gfx} be the particular solution to the differential equation with the initial condition 9(1) = -1. Write an equation for the line tangent to the graph of glint] at [1. -1} and use it to approximate gflll. cl. Find the particular solution y=g[x} to the given differential equation with the initial condition gill = 1

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