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1- Determine the concavity of the curve with parametric equations x = t2, y = t3 - 3t at t = 2. Justify your answer. (10 points) Concave up 2. Find...
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Please see the attached questions. I would like questions 3-5 to be explained to me.Screen Shot 2018-05-17 at 3.39.38 PM.png

Screen Shot 2018-05-17 at 3.39.38 PM.png
1- Determine the concavity of the curve with parametric equations x = t2, y = t3 - 3t at t = 2. Justify your answer. (10 points) Concave up 2. Find the exact value of the slope of the line which is tangent to the curve given by the equation I:
9:.
r = 1 + cos 6 at 2 . You must show your work. (10 points) dy/dx=1 3. Find the position vector of a particle whose acceleration vector is a = (1, 2) with an initial velocity vector (0, 0) and initial position vector (1, O). (10 points) 4. Set up, but do not evaluate, the integral that represents the length of the curve given by x = 1 + 3t2, y = 4 + 2t3 over the interval 0 S t S 1. (10 points) 5. Find the area of the region that is inside the curve r = sin e and outside the curve r = 1 + cos 9. Your work must include the integral, but you may use your
calculator to find the area to 3 decimal places. (10 points)

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Subject: Calculus, Math

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