Prerequisite Worksheet - a 1 3 2 2-= x x x f b 2 1 = x x f...

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Calculus I Prerequisite Worksheet 1. For each of the following, find the equation of the line satisfying the given information. Write your answers in point-slope form. a. Line through the point (2,3) with slope m = 1/3. b. Line through the points (2,3) and (-3,2). c. The vertical line through the point (-3,2). d. The horizontal line through the point (-3,2). e. The line through the point (2,3) that is parallel to the line 2x – 5y = 4. f. The line through the point (2,3) that is perpendicular to the line 2x – 5y = 4. 2. Rationalize the numerator: x x 2 4 - + 3. Simply the difference quotient h x f h x f ) ( ) ( - + for each of the following functions:
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Unformatted text preview: a. 1 3 2 ) ( 2-+-= x x x f b. 2 1 ) ( + = x x f c. 2 ) ( + = x x f 4. Solve the following quadratic equations. Give exact answers. a. 2 3 2 = + x x b. 1 2 5 2 = +-x x c. 6 5 3 2-= x x 5. Use the given triangle to find: 7 a. sin x b. cos x c. tan x d. sec x e. csc x f. cot x x 4 6. Evaluate the following without the use of a calculator : ____ 3 2 tan ____ 6 7 sin ____ ) cos( ____ 4 3 sin ____ 4 cos ___ sin = = =-= = = π 7. Evaluate the following without the use of a calculator: ____ ) 3 arctan( ____ ) 2 2 ( cos ____ 2 1 arcsin 1 =-=-=-...
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