Question 3 Starting at the point (0, −2,0), I walk up the hill z = 4-x² — y². The projection of my path on the xy plane is the line y = 2x-2. (a) At what point on my path is my altitude (the z-value) the greatest? (b) What is the slope m of my path (taking the z-axis to be vertical) when I am at the point (1, 0, 3)? [Hint: Parametrize my path (take x to be t).]
Question 3 Starting at the point (0, −2,0), I walk up the hill z = 4-x² — y². The projection of my path on the xy plane is the line y = 2x-2. (a) At what point on my path is my altitude (the z-value) the greatest? (b) What is the slope m of my path (taking the z-axis to be vertical) when I am at the point (1, 0, 3)? [Hint: Parametrize my path (take x to be t).]
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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![Question 3 Starting at the point (0, −2,0), I walk up the hill z = 4-x² — y².
The projection of my path on the xy plane is the line y = 2x-2.
(a) At what point on my path is my altitude (the z-value) the greatest?
(b) What is the slope m of my path (taking the z-axis to be vertical) when I
am at the point (1, 0, 3)? [Hint: Parametrize my path (take x to
be t).]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43685a05-72bf-4819-84f1-719cb68e9c1a%2Fc5df7275-c4c5-4bf8-977b-84a5d4fa1647%2Fximxm4v_processed.png&w=3840&q=75)
Transcribed Image Text:Question 3 Starting at the point (0, −2,0), I walk up the hill z = 4-x² — y².
The projection of my path on the xy plane is the line y = 2x-2.
(a) At what point on my path is my altitude (the z-value) the greatest?
(b) What is the slope m of my path (taking the z-axis to be vertical) when I
am at the point (1, 0, 3)? [Hint: Parametrize my path (take x to
be t).]
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