a. Sketch and/or carefully describe the graphs of the following surfaces in 3 dimensions (R³): i. x = y² ii. 4x² + y² = 8 b. Sketch/describe what the curve r(t) = (t, 4 sin t, 3 cos t) looks like and find its speed at any time t. Give a formula for the unit tangent vector T at time t = 0.
a. Sketch and/or carefully describe the graphs of the following surfaces in 3 dimensions (R³): i. x = y² ii. 4x² + y² = 8 b. Sketch/describe what the curve r(t) = (t, 4 sin t, 3 cos t) looks like and find its speed at any time t. Give a formula for the unit tangent vector T at time t = 0.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Calculus III
![a.
Sketch and/or carefully describe the graphs of the following surfaces in 3 dimensions (R³):
i. x = y²
ii. 4x² + y² = 8
time
b. Sketch/describe what the curve r(t) = (t, 4 sin t, 3 cos t) looks like and find its speed at any
t. Give a formula for the unit tangent vector T at time t = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4dca08d-d7c1-4511-81d7-e3b17171b463%2F86eea8be-4b4c-42ff-bd7d-f72330ef89b0%2Fcnuurn9_processed.png&w=3840&q=75)
Transcribed Image Text:a.
Sketch and/or carefully describe the graphs of the following surfaces in 3 dimensions (R³):
i. x = y²
ii. 4x² + y² = 8
time
b. Sketch/describe what the curve r(t) = (t, 4 sin t, 3 cos t) looks like and find its speed at any
t. Give a formula for the unit tangent vector T at time t = 0.
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