Name: ________________________ Calculus, Study Guide, Chapter P 1. Find the points of intersection of the graphs of the equations: x y 2 23 y x3 7 radians . 2. Find the exact value of cos 4 3. y = sin 3 Sketch the graph of the tangent curve in the interval from 0 to 2 . 4. y = tan 2 What values for (0 < 2satisfy the equation? 5. 5tan 6 tan 3 6. tan 2 sec 2 7. 2 sin cos cos 0 Find the height of the triangle. 8. 9. Find all intercepts: y x 5 4 x2 10. Find all intercepts: y 2 x 3 25x 9 11. Find an equation of the line that passes through the point (11, 9) and has the slope m . 2 8 3 70 21 12. Find an equation of the line that passes through the points , and , . 2 11 4 11 13. Write an equation of the line that passes through the given point and is perpendicular to the given line. Point Line 1, 7 x6 5 5 14. Write an equation of the line that passes through the point , and is parallel to the line 7x 3y 0. 4 8 15. Let f x 14x 8. Then simplify the expression f(x) f(9) . x9 16. Find the domain and range of the function f(x) x 2 6. 17. Find the domain and range of the function h(x) 11 . x6 ID: A Calculus, Study Guide, Chapter P Answer Section 1. 2, 5 , 7, 4 2. 2 2 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 5 , 4 4 2 4 , 3 3 7 3 11 , , , 2 6 2 6 3.4 x-intercepts: (–5, 0), (–2, 0), (2, 0); y-intercept: (0, 10) x-intercepts: (0,0), (5,0), (-5,0); y-intercept: (0, 0) 9 81 y x+ 2 2 1 y x6 2 ID: A y 1 56x 24y 55 0 14 domain: (, ) range: [6, ) 17. domain: (, 6) (6, ) range: (, 0) (0, ) 13. 14. 15. 16.