7. Find the center, the foci, the vertices, and the eccentricity of the ellipse with general equation: x? + 4y2 - 4x + 8y-8 = 0. 8. Evaluate each limit: In(x3) a) a) limx-1 b) limx--o X sin(-) x2+x-2 X→00 9. Determine if each integral diverges or converges and if it converges I give the limit: 8 1 a) L 3*dx b)o dx

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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answer 8, 9 

7.
Find the center, the foci, the vertices, and the eccentricity of the ellipse
with general equation; x² + 4y² – 4x + 8y - 8 = 0.
8. Evaluate each limit:
In(x³)
a) a) limx→1
b) lim,»∞ X sin(O
x² +x-2
9. Determine if each integral diverges or converges and if it converges
give the limit:
8 1
a)
L3*dx
b)S Edx
Transcribed Image Text:7. Find the center, the foci, the vertices, and the eccentricity of the ellipse with general equation; x² + 4y² – 4x + 8y - 8 = 0. 8. Evaluate each limit: In(x³) a) a) limx→1 b) lim,»∞ X sin(O x² +x-2 9. Determine if each integral diverges or converges and if it converges give the limit: 8 1 a) L3*dx b)S Edx
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