Find the radius of curvature of the curve y = √√x at x = 1 5√5 2 5√5 b) Sys c) 5√5 d) none 2 a) ind the

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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Do 17
16. The Integrating Factor of ydx - xdy + 4x³y² ex dx is
I
(A)
(B) y²
(C)xy²
(D)1/y²
17. Find the radius of curvature of the curve y = √x at x = 1
2
a) 31/5
5√5
c) 5√5
d) none
18. Find the ranges of values of x for which the curve y = x4 - 6x³ + 12x² + 5x + 7 is concave
downwards.
a) [0, 1]
5√5
2
a) ∞
b) [2,00]
19. The value of the limit limx→0
b) 0
c) [1,2]
(-x) is
tan x
c) 1
d) None
d) none
Transcribed Image Text:16. The Integrating Factor of ydx - xdy + 4x³y² ex dx is I (A) (B) y² (C)xy² (D)1/y² 17. Find the radius of curvature of the curve y = √x at x = 1 2 a) 31/5 5√5 c) 5√5 d) none 18. Find the ranges of values of x for which the curve y = x4 - 6x³ + 12x² + 5x + 7 is concave downwards. a) [0, 1] 5√5 2 a) ∞ b) [2,00] 19. The value of the limit limx→0 b) 0 c) [1,2] (-x) is tan x c) 1 d) None d) none
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