Diagnostic Test Analytic Geometric

James Stewart, CALCULUS Concepts & Contexts 4th edition
 Download the Diagnostic Test of Analytic Geometric Solutions Step by Step
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1 Find an equation for the line that passes through the point (2, -5) and

( a ) has slope -3.

( b ) is parallel to the x-axis.

( c ) is parallel to the y-axis.

( d ) is parallel to the line 2 x  - 4 y =  3 .

2. Find an equation for the circle that has center (-1, 4) and passes through the point (3, -2).
 
3. Find the center and radius of the circle with equation: x^{2} + y^{2} - 6x + 10y + 9 = 0
 
4. Let A (-7, 4) and B (5, -12) be points in the plane.
( a ) Find the slope of the line that contains A and B.
( b ) Find an equation of the line that passes through A and B. What are the intercepts?
( c ) Find the midpoint of the segment AB.
( d ) Find the length of the segment AB.
( e ) Find an equation of the perpendicular bisector of AB.
( f ) Find and equation of the circle for which AB is a diameter.


5. Sketch the region in the xy-plane defined by the equation or inequalities. 
(a) -1 leslant y leslant 3
( b )  absolute value of x less than 4 and absolute value of y less than 2.
( c ) Do not appear in the exam complete.
( d ) Do not appear in the exam complete.
( e ) Do not appear in the exam complete.
( f ) 9x^2 + 16y^2 = 144