Given the the parametric curve S2(t) 1e2t – 12e* + 32t 1. y(t) t5 – 6t + 10 dy (a) Find an expression for dx dy dx 23 1 (b) Find the slope of the tangent line at the point Find the exact value, no decimals. 2 10 m = (c) Find the value(s) of t where there is a horizontal tangent line. Find the exact value(s) of t, no decimals. t (d) Find the value(s) of t where there is a vertical tangent line. Find the exact value(s) of t, no decimals. t =

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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Given the the parametric curve
/ z(t) = 글e과-
1,2t
12et + 32t
1.
y(t)
t5 – 6t + 10
dy
(a) Find an expression for
dx
dy
dx
23
1
(b) Find the slope of the tangent line at the point
2' 10
Find the exact value, no decimals.
m =
(c) Find the value(s) of t where there is a horizontal tangent line. Find the exact value(s) of t, no
decimals.
t
(d) Find the value(s) of t where there is a vertical tangent line. Find the exact value(s) of t, no decimals.
t =
Transcribed Image Text:Given the the parametric curve / z(t) = 글e과- 1,2t 12et + 32t 1. y(t) t5 – 6t + 10 dy (a) Find an expression for dx dy dx 23 1 (b) Find the slope of the tangent line at the point 2' 10 Find the exact value, no decimals. m = (c) Find the value(s) of t where there is a horizontal tangent line. Find the exact value(s) of t, no decimals. t (d) Find the value(s) of t where there is a vertical tangent line. Find the exact value(s) of t, no decimals. t =
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