Question 3. The parametrized curve x = cos(t) – 5sin(t), %3D 101 y = -10cos(t)+ sin(t) is an ellipse. Compute its area and determine if it has a positive (counterclockwise) orientation.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 3. The parametrized curve
x = cos(t) – 5sin(t),
%3D
101
y = -10cos(t) +
-sin(t)
is an ellipse. Compute its area and determine if it has a positive (counterclockwise)
orientation.
Area =pi/2, clockwise (negative orientation)
Area =pi/2, counterclockwise (positive orientation)
O Area =5pi, counterclockwise (positive orientation)
O Area =101 pi/2, clockwise (negative orientation)
Transcribed Image Text:Question 3. The parametrized curve x = cos(t) – 5sin(t), %3D 101 y = -10cos(t) + -sin(t) is an ellipse. Compute its area and determine if it has a positive (counterclockwise) orientation. Area =pi/2, clockwise (negative orientation) Area =pi/2, counterclockwise (positive orientation) O Area =5pi, counterclockwise (positive orientation) O Area =101 pi/2, clockwise (negative orientation)
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