Question: 14. Given x = 8t2 - 18t and y = 2+3 - 6 ,find the following. (10 points) A) Determine the first derivative in terms

step and simplify completely for full credit. C) Determine the values of

t for which the curve is concave up and concave down.15. Given

14. Given x = 8t2 - 18t and y = 2+3 - 6 ,find the following. (10 points) A) Determine the first derivative in terms of t. Show each step and simplify completely for full credit. B) Determine the second derivative in terms of t. Show each step and simplify completely for full credit. C) Determine the values of t for which the curve is concave up and concave down.15. Given r = 1 find the following. (10 points) A) Find r' B) Find dy / dx . Show each step and simplify completely for full credit.C) Find the coordinate points on the curve where the tangent is horizontal. D) Find the coordinate points on the curve where the tangent is vertical. 16. Given r = 2 sin 20 , find the following. (8 points) A) Sketch the graph of r. B) Find the area enclosed by one loop of the given polar curve. C) Find the exact area enclosed by the entire given polar curve

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