mac1105_review_2

# Mac1105_review_2 - REVIEW UNIT II L8 L15 FORMULAS TO MEMORIZE Equation of a circle with radius r and center h k x h y k 2 Distance on the plane

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1 REVIEW UNIT II L8 – L15 FORMULAS TO MEMORIZE : Equation of a circle with radius r and center ( ) , hk : () 22 2 x hy k r +− = Distance on the plane between points ( ) 11 , x y and ( ) , x y : 21 dx x y y =− + Midpoint Formula: 12 , x xy y M ++ ⎛⎞ = ⎜⎟ ⎝⎠ The slope of the line through ( ) , x y and ( ) , x y : yy y m x xx == . Equation of the line with slope m through the point ( ) , x y : ( ) yy m . Equation of the line with x and y intercepts a and b : 1 x y ab + = ( 0, 0 ≠≠ ) Average rate of change of f on the interval [ ] , cx is ( ) ( ) f xf c xc ( x c ). Vertex of the parabola 2 f xa xb x c =+ + is ( ) , , where 2 b h a = , kf h = . 1. Solve the equations: (a) 34 3 0 x −+= (b) 2 10 1 1 3 x + ++= (c) 54 2 1 = (d) 33 13 0 0 + −+ = 2. Solve for r and completely simplify: 1 2 r L S m = . 3. Solve the inequalities. Give answers in interval notation. (a) 25 4 3 x x +≤+ (b) ( ) 312 5 5 x −<− + ≤ 4. Solve the absolute value equations: (a) 51 00 x += (b) 32 23 2 1 0 xxx + + = (c) 3 5 −=− (d) 43 3 x x = + 5. Solve the absolute value inequalities. Give answers in interval notation.

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## This note was uploaded on 11/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Fall '10 term at University of Florida.

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Mac1105_review_2 - REVIEW UNIT II L8 L15 FORMULAS TO MEMORIZE Equation of a circle with radius r and center h k x h y k 2 Distance on the plane

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