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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Please answer #7 - #10 and show the complete solutions
![3
7. Given: y =
; Find: dy/dt
9. Given y = Vx – 2/x – 2; Find y'.
-
/16+tª
Va-2-1
-6t3
%3D
2/(2-2) (x–2/=-2)
(16+t“) 7
-2t3
O (E) None of the choices
(16+4)
1-V-2
2(x-2) 7
(16+t')
1-Va-2
2/(x-2)(x-2/æ–2)
(16+4')
Va-2-1
O (E) None of the choices
2(x-2) 7
8. Given y=[ 2 +(x²+1)ª ]³; Find y'
10. Find the slope of the line that is tangent to the
graph of f(x)=3x²-2 at P(-3, 25).
y' = 48x (x²+1)³ [ 2 +(x²+1)ª ]²
O (E) None of the choices
y'=24x (x²+1)³ [ 2 +(x²+1)* ]²
-3/25
-18
O (E) None of the choices
y' = 4 (x2+1)°
O 27
O y' = 64 (x2+1)°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47c03568-fe9d-4d23-a941-933e6e6a6ddb%2F3ab55f80-06a2-4054-967d-61460d8c5bb8%2Fropij2x_processed.png&w=3840&q=75)
Transcribed Image Text:3
7. Given: y =
; Find: dy/dt
9. Given y = Vx – 2/x – 2; Find y'.
-
/16+tª
Va-2-1
-6t3
%3D
2/(2-2) (x–2/=-2)
(16+t“) 7
-2t3
O (E) None of the choices
(16+4)
1-V-2
2(x-2) 7
(16+t')
1-Va-2
2/(x-2)(x-2/æ–2)
(16+4')
Va-2-1
O (E) None of the choices
2(x-2) 7
8. Given y=[ 2 +(x²+1)ª ]³; Find y'
10. Find the slope of the line that is tangent to the
graph of f(x)=3x²-2 at P(-3, 25).
y' = 48x (x²+1)³ [ 2 +(x²+1)ª ]²
O (E) None of the choices
y'=24x (x²+1)³ [ 2 +(x²+1)* ]²
-3/25
-18
O (E) None of the choices
y' = 4 (x2+1)°
O 27
O y' = 64 (x2+1)°
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