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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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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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