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AP Calculus Summer Review Worksheet

AP Calculus Summer Review Worksheet - AP Calculus Review...

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AP Calculus Review Worksheet This packet is a review of the entering objectives for AP Calculus and is due on the first day back to school. It is to be done neatly and on a separate sheet of paper. Have a great summer! I. Simplifying Rational Expressions Simplify. (Show your work!) 1. 2 4 3 4 x x x 2. 3 8 2 x x 3. 2 5 25 x x 4. 2 2 4 32 16 x x x II. Trigonometric Identities 1. Pythagorean Identities __________________ __________________ __________________ 2. cos2x=_____________ ____________ ____________ 3. sin2x=___________ III. Operations with Rational Expressions 1. 1 1 x h x + 2. 2 5 2 10 x x
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3. 1 1 3 3 x x + 4. 2 2 2 1 8 6 9 1 2 3 x x x x x x + + IV. Solving equations Solve for Z 1. 4x+10yz=0 2. 2 3 8 4 0 y yz z x + = V. Operations with functions If f(x)={(3,5), (2,4), (1,7)} g(x)= 3 x h(x)={(3,2), (4,3), (1,6)} k(x)= 2 5 x + determine the following: 1. (f+g)(1)= 2. (k-g)(5)= 3. ( )(3) f h o = 4. ( )(7) g k o = 5. 1 ( ) f x = 6. 1 ( ) k x = 7. 1 ( ) f x 8. (kg)(x)= VI. Miscellaneous: Follow the directions for each problem. 1. Evaluate ( ) ( ) f x h f x h + and simplify if f(x)= 2 2 . x x 2. Expand 3 ( ) x y +
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3. Simplify: 3 5 2 2 2 ( ) x x x x + 4.
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