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Q1. Find the value of √4x³ dx and explain the significance of the answer. Q2. Determine whether the given line is a tangent to the given circle, x+2y+6=0, x² + y²-6x-4y+ 8 = 0. Q3. A circle C has equation x² + y² - 4x + 10y=k, where k is a constant. a) Find the coordinate of the center of C. b) State the range of the possible values for k.

Q1. Find the value of √4x³ dx and explain the significance of the answer. Q2. Determine whether the given line is a tangent to the given circle, x+2y+6=0, x² + y²-6x-4y+ 8 = 0. Q3. A circle C has equation x² + y² - 4x + 10y=k, where k is a constant. a) Find the coordinate of the center of C. b) State the range of the possible values for k.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1. Find the value of √4x³ dx and explain the significance of the answer. Q2. Determine whether the given line is a tangent to the given circle, x+2y+6=0, x² + y²-6x-4y+ 8 = 0. Q3. A circle C has equation x² + y² - 4x + 10y=k, where k is a constant. a) Find the coordinate of the center of C. b) State the range of the possible values for k.
Transcribed Image Text:Q1. Find the value of √4x³ dx and explain the significance of the answer. Q2. Determine whether the given line is a tangent to the given circle, x+2y+6=0, x² + y²-6x-4y+ 8 = 0. Q3. A circle C has equation x² + y² - 4x + 10y=k, where k is a constant. a) Find the coordinate of the center of C. b) State the range of the possible values for k.
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