are given the parametric equations x = 10 – t², y =t³ – 12t. 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 æ. If two or more points share the same value of æ, list those nts starting with the smallest value of y. If any blanks are unused, type an upper-case "N" in them. nt 1: (x, y) = ( nt 2: (z, у) — ( nt 3: (х, у) — ( 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 æ. If two or more points share the same value of x, list those points ting with the smallest value of y. If any blanks are unused, type an upper-case "N" in them. nt 1: (x, y) = ( nt 2: (x, y) = ( at 3: (х, у) —D(

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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how do i solve the math(calculus) question i attached?

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: (2, yу) — (
Point 2: (x, y)
Point 3: (х, у) — (
(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)
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: (2, yу) — ( Point 2: (x, y) Point 3: (х, у) — ( (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) Point 3: (x, y)
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