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please don't answer it other wise i dislike your answer = 2. (a) (10 points) Consider the parametric curve with equations : -1- 2V1-3, y
please don't answer it other wise i dislike your answer
= 2. (a) (10 points) Consider the parametric curve with equations : -1- 2V1-3, y -VI. (i) Draw a set of 2- and y-axes and plot points on the curve at t = 0, 1,4, 9. Use these to sketch a portion of the curve and draw arrows to indicate the direction of motion. (ii) Find it formula for the slope of the curve in terms of ?, and find the slope at? (ii) Eliminate the parameter t to find a Cartesian cquation for the curve. (iv) The curve with the Curterian equation found in (iii) contains points that are NOT on the curve with the parametric equations given above. Why is this? Can you give an example of a point (z. y) that satisfies the Cartesian equation from (iii) but does not lie on the parametric curve? = 2. (a) (10 points) Consider the parametric curve with equations : -1- 2V1-3, y -VI. (i) Draw a set of 2- and y-axes and plot points on the curve at t = 0, 1,4, 9. Use these to sketch a portion of the curve and draw arrows to indicate the direction of motion. (ii) Find it formula for the slope of the curve in terms of ?, and find the slope at? (ii) Eliminate the parameter t to find a Cartesian cquation for the curve. (iv) The curve with the Curterian equation found in (iii) contains points that are NOT on the curve with the parametric equations given above. Why is this? Can you give an example of a point (z. y) that satisfies the Cartesian equation from (iii) but does not lie on the parametric curveStep by Step Solution
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