Example 1.3. Show that the tangent at any point of the curve whose equations referred- to rectangular axes are z = 2t³ x = 3t, y = 3t², makes a constant angle with the line y = z-x=0

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 45PS
icon
Related questions
Question
Example 1.3. Show that the tangent at any point of the curve whose equations referred
to rectangular axes are
x=
3t,
y
3ť²2,
=
y = 3t²²,
makes a constant angle with the line y = z- x = 0
z = 2t³
Transcribed Image Text:Example 1.3. Show that the tangent at any point of the curve whose equations referred to rectangular axes are x= 3t, y 3ť²2, = y = 3t²², makes a constant angle with the line y = z- x = 0 z = 2t³
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage