provide all steps Problem 3 (20 points): Find all values of t where tangent lines for...
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Problem 3 (20 points): Find all values of t where tangent lines for the given parametric equation are horizontal or vertical.
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Problem 4 (20 points): Determine the area of the region below the parametric curve given by the following set of parametric equations. You may find the following integral sin 2.0 Cosrdt + 2 4 I helpful: ſcos +C I = 0 + cos(0), y = 1 + sin(Q), << 2
3. Find the points on C where the tangent is vertical or horizontal. Give the answers as (x,y) coordinates.
1. Consider the parametric curve given below Find the values of θ where the tangent line to the curve is vertical. If you obtain more than one value, enter the largest value. If necessary, round to four decimal places. Here again is the parametric curve from the previous problem. z-es s cose, y-ee-s sin θ, θ < 2π 0 Find the values of θ where the tangent line to the curve is-1. If you obtain more than one value, enter...
Find dy/dx. Find the points on the curve where the tangent is horizontal or vertical. x = t3 - 3t, y = t2 - 6
For the polar equation r= 1-sinθ a) Sketch the graph for 0 ≤ t ≤ 2pi b) Find the points on the cardioid where the tangent line is horizontal c)Find the equation of the tangent line when theta=pi/3
1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph
1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and...
Given the parametric curve x = 3t – tº, y = 3ta. (a) Find all x and y intercepts. (b) Find all points (x, y) where there is a vertical or horizontal tangent. (c) Put this information together in a chart to determine the intervals of increase and decrease and use this to sketch the curve.
(1 point) Given the parametric curve *(t) =t(t? - 3), y(t) = 3(t? - 3) answer the following questions. - Part 1 - 1 point Find all the points on the curve at which a horizontal tangent line exists. Enter your solution as a comma separated list of ordered pairs (a,b) or if there are no points on the curve with a horizontal tangent line enter NONE help (points) Part 2 - 1 point
2) Find the points on the given curve where the tangent line is horizontal or vertical r3 cos (0)