By Mark McKibben

Designed for these looking support learning calculus at school - additionally beneficial for adults trying to learn/re-learn calculus. A source for teachers supplementing their guideline. 501 Calculus difficulties is helping clients arrange for educational tests and construct problem-solving abilities. in contrast to textbooks, complete solution motives are supplied for all difficulties. comprises: - Questions protecting all of unmarried variable calculus - universal calculus errors - precise answers/fully labored options - word list and theorem record - entry to loose on-line try out

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THE PRINCETON evaluation will get effects. Get all of the prep you must ace the AP Calculus AB & BC checks with five full-length perform checks, thorough subject studies, and confirmed options that will help you ranking greater. This e-book variation has been optimized for on-screen viewing with cross-linked questions, solutions, and explanations.

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THE PRINCETON overview will get effects. Get the entire prep you must ace the AP Calculus AB & BC tests with five full-length perform checks, thorough subject reports, and confirmed strategies that can assist you ranking higher.

Inside the e-book: the entire perform & concepts You Need

• five full-length perform exams (3 for AB, 2 for BC) with distinctive causes

• resolution factors for every perform question

• entire topic experiences from content material specialists on all attempt topics

• perform drills on the finish of every chapter

• A cheat sheet of key formulas

• step by step recommendations & strategies for each portion of the examination

**Additional resources for 501 Calculus Questions**

**Example text**

D. 75. 18 10 8 16 ( f g )(0) = ___________. a. 12 b. –1 c. 2 d. undefined 76. ( f ( f ( f ( f (5))))) = ______________ . a. b. c. d. 0 –1 3 undefined 77. True or false? The real number 0 belongs to the domain of the function h defined by h(x ) = ( g g )( x ) . qxd 4/25/12 12:42 PM Page 45 501 Calculus Questions 78. Which of the following is the domain of the function f ( x) = 1 2 ? (2 − x ) 5 a. ( −∞, 2 ) b. ( 2, ∞ ) c. ( −∞, 2) ∪ ( 2, ∞ ) d. none of the above 79. True or false? There are two x-intercepts of the function f (x ) = 1 − 2 x − 1 .

Qxd 4/25/12 12:42 PM Page 45 501 Calculus Questions 78. Which of the following is the domain of the function f ( x) = 1 2 ? (2 − x ) 5 a. ( −∞, 2 ) b. ( 2, ∞ ) c. ( −∞, 2) ∪ ( 2, ∞ ) d. none of the above 79. True or false? There are two x-intercepts of the function f (x ) = 1 − 2 x − 1 . 80. Determine the inverse function for f ( x) = x −1 5x + 2 , x ≠ − 52 . 81. True or false? Assume that the function f has an inverse f −1 . If the range of f −1 is [1, ∞ ), then f(0) is not defined. 82. If f (x ) = x 2 − 4 x , then f (x + 2) = ____________.

Since multiplication is commutative, we can group together terms with the same base. Doing so, and applying the exponent rule for multiplying terms with like bases, yields the following: ( 9a6b11c 4 )( 9a 2c 2 ) = (9 ⋅ 9)(a 6 ⋅ a 2 )(b11 )(c 4 ⋅ c 2 ) = 81a8b11c 6 5. Since multiplication is commutative, we can group together terms with the same base. Doing so, and applying the exponent rule for dividing terms with like bases, yields the following: 2 −2 −42m n p 6mn 5 = 2 ( )( −42 6 m2 m )( )( p ) = −7(m)( )( p ) = n−2 n2 1 4 n 5 5 −7mp n 5 4 6.

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