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 34 x xx −− 2. 3 8 2 x x 3. 2 5 25 x x 4. 2 2 43 2 16 x II. Trigonometric Identities 1. Pythagorean Identities __________________ __________________ __________________ 2. cos2x=_____________ ____________ ____________ 3. sin2x=___________ III. Operations with Rational Expressions 1. 11 x hx + 2. 2 5 2 10 x x
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3. 11 33 x x + 4. 22 21 8 69 1 23 x xx x −− −+ + IV. Solving equations Solve for Z 1. 4x+10yz=0 2. 2 38 4 0 yy z 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 ) fh o = 4. ( 7 ) gk o = 5. 1 f x = 6. 1 kx = 7. 1 f x 8. (kg)(x)= VI. Miscellaneous: Follow the directions for each problem. 1. Evaluate ( ) f xh fx h and simplify if f(x)= 2 2. x x 2. Expand 3 x y +
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3. Simplify: 35 2 22 () x xx x +− 4. Eliminate the parameter and write a rectangular equation for 2 3 2
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AP Calculus Summer Review Worksheet - AP Calculus Review...

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