The region in the first quadrant bounded above by the parabola y = x², below by the x-axis and the right by the line x=2. Q2

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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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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Qi Find the volume of the solid generated by revolving the regions bounded by
the lines and curves about the y-axis
The region enclosed by x =
(ii) The region enclosed by x= y, x= 0, y=2.
(iii) The region enclosed by x= 2/(y+1), x = 0, y = 0, y = 3.
(iv) The region enclosed by x = /2y/(y² +1), x = 0, y = 1.
Q2 The region in the first quadrant bounded above by the parabola y = x²,below
by the x-axis and the right by the line x=2.
(i)
= 5y', x= 0, y = -1, y = 1.
Q3 The region in the first quadrant bounded on the left by the circle
x² +y° = 3, on the right by the line x = V3 and above by the line y=V3.
Q4 The region in the first quadrant bounded above by the curve y = x²,below by
the x-axis and on the right by the line x =labout the line x=-1. Find the
volume of the solid.
Q5 The region in the second quadrant bounded above by the curve y=-x', below
by the x-axis and on the left by the line x=-labout the line x =-2. Find the
volume of the solid.
Q6. Sketch the graph of a function on the interval [3,9] that has an absolute
maximum at x=5 and an absolute minimum at x=4.
Q7. Sketch the graph of a function that meets the following conditions :
Graphed on the interval [2,9].
Has a discontinuity at some point interior to the interval.
Has an absolute maximum at the discontinuity in part (b).
Has an absolute minimum at the discontinuity in part (b).
a.
b.
с.
d.
Transcribed Image Text:Qi Find the volume of the solid generated by revolving the regions bounded by the lines and curves about the y-axis The region enclosed by x = (ii) The region enclosed by x= y, x= 0, y=2. (iii) The region enclosed by x= 2/(y+1), x = 0, y = 0, y = 3. (iv) The region enclosed by x = /2y/(y² +1), x = 0, y = 1. Q2 The region in the first quadrant bounded above by the parabola y = x²,below by the x-axis and the right by the line x=2. (i) = 5y', x= 0, y = -1, y = 1. Q3 The region in the first quadrant bounded on the left by the circle x² +y° = 3, on the right by the line x = V3 and above by the line y=V3. Q4 The region in the first quadrant bounded above by the curve y = x²,below by the x-axis and on the right by the line x =labout the line x=-1. Find the volume of the solid. Q5 The region in the second quadrant bounded above by the curve y=-x', below by the x-axis and on the left by the line x=-labout the line x =-2. Find the volume of the solid. Q6. Sketch the graph of a function on the interval [3,9] that has an absolute maximum at x=5 and an absolute minimum at x=4. Q7. Sketch the graph of a function that meets the following conditions : Graphed on the interval [2,9]. Has a discontinuity at some point interior to the interval. Has an absolute maximum at the discontinuity in part (b). Has an absolute minimum at the discontinuity in part (b). a. b. с. d.
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