3. a) Use Winplot to find the slope of the tangent to the curve y =...
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3. a) Use Winplot to find the slope of the tangent to the curve y = -sin(2x) to complete the following table and then find a trig equation that will pass through these points. State the equation. Slope of Tangent 0 /4 /2 3/4 5/4 3/2 71/4 2 b) Make an educated guess as to what the derivative would be for y = cos(2x) without finding the slopes of the tangents. Explain how you came up with this answer. Slope of Tangent 0 F/4 /2 3/4 5/4 3/2 75/4 2 3. a) Use Winplot to find the slope of the tangent to the curve y = -sin(2x) to complete the following table and then find a trig equation that will pass through these points. State the equation. Slope of Tangent 0 /4 /2 3/4 5/4 3/2 71/4 2 b) Make an educated guess as to what the derivative would be for y = cos(2x) without finding the slopes of the tangents. Explain how you came up with this answer. Slope of Tangent 0 F/4 /2 3/4 5/4 3/2 75/4 2
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