You are given the parametric equations a = 10 – t2, y = t – 12t. (a) List all of the points (x, y) where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of x. If two or more points share the same value of æ, list those points starting with the smallest value of y. If any blanks are unused, type an upper-case "N" in them. Point 1: (x, y) = (10 Point 2: (x, y) = Point 3: (x, y) = (b) List all of the points (x, y) where the tangent line is vertical. In entering your answer, list the points starting with the smallest value of x. If two or more points share the same value of x, list those points starting with the smallest value of y. If any blanks are unused, type an upper-case "N" in them. Point 1: (x, y) Point 2: (x, y) 16 Point 3: (x, y) =

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 1CT
icon
Related questions
Question

How do i solve this math(calculus) question  ?

You are given the parametric equations x
10 – t2, y= t3 – 12t.
(a) List all of the points (x, y) where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of x. If two or more points share the same value of x, list those
points starting with the smallest value of y. If any blanks are unused, type an upper-case "N" in them.
Point 1: (x, y)
10
Point 2: (x, y)
Point 3: (x, y)
(b) List all of the points (x, y) where the tangent line is vertical. In entering your answer, list the points starting with the smallest value of x. If two or more points share the same value of x, list those
points starting with the smallest value of y. If any blanks are unused, type an upper-case "N" in them.
Point 1: (x, y)
(6
-16
Point 2: (x, y)
6
16
Point 3: (x, y)
Transcribed Image Text:You are given the parametric equations x 10 – t2, y= t3 – 12t. (a) List all of the points (x, y) where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of x. If two or more points share the same value of x, list those points starting with the smallest value of y. If any blanks are unused, type an upper-case "N" in them. Point 1: (x, y) 10 Point 2: (x, y) Point 3: (x, y) (b) List all of the points (x, y) where the tangent line is vertical. In entering your answer, list the points starting with the smallest value of x. If two or more points share the same value of x, list those points starting with the smallest value of y. If any blanks are unused, type an upper-case "N" in them. Point 1: (x, y) (6 -16 Point 2: (x, y) 6 16 Point 3: (x, y)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning