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AP Calculus AB Unit 1B3: Asymptotic Behavior and Infinite Limits — practice questions — page 3

Explore 75 free Unit 1B3: Asymptotic Behavior and Infinite Limits questions in AP Calculus AB Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 1B3: Asymptotic Behavior and Infinite Limits questions and exercises with answers

Showing questions 61–75 of 75.

How many sides does a regular polygon have if each exterior angle measures 24°?Read the answer and worked solution →The sum of three consecutive multiples of 11 is 363. What is the largest of these three multiples?Read the answer and worked solution →Two angles of a triangle are equal, and the third angle is greater than each of them by 30°. What are the three angles of the triangle?Read the answer and worked solution →A simple closed curve made up of only line segments is called a:Read the answer and worked solution →The sum of the measures of the EXTERIOR angles of any convex polygon (one at each vertex) is:Read the answer and worked solution →A regular polygon is a polygon that is BOTH:Read the answer and worked solution →A kite is a quadrilateral in which:Read the answer and worked solution →How many sides does a regular polygon have if each interior angle measures 165°?Read the answer and worked solution →Is it possible to have a regular polygon in which EACH EXTERIOR angle is 22°?Read the answer and worked solution →The diagonals of a parallelogram:Read the answer and worked solution →In parallelogram PQRS, PQ = 12 cm and QR = 7 cm. The perimeter of PQRS is:Read the answer and worked solution →In a parallelogram, two adjacent angles are in the ratio 3 : 2. The four angles of the parallelogram are:Read the answer and worked solution →The diagonals of a RHOMBUS are:Read the answer and worked solution →The diagonals of a quadrilateral are PERPENDICULAR BISECTORS of each other but they are NOT equal. The quadrilateral is most likely a:Read the answer and worked solution →In a parallelogram HELP with diagonals intersecting at O: OE = 4 cm and the diagonal HL = 5 + OE = 9 cm. Find OL.Read the answer and worked solution →

Worked practice questions

How many sides does a regular polygon have if each exterior angle measures 24°?

  1. 12
  2. 15
  3. 18
  4. 20
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Correct answer: B. 15

Sum of exterior angles is always 360°. If each is 24°, the number of sides is 360 ÷ 24 = 15. So it is a regular 15-gon.

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The sum of three consecutive multiples of 11 is 363. What is the largest of these three multiples?

  1. 121
  2. 132
  3. 143
  4. 154
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Correct answer: B. 132

Let the three consecutive multiples of 11 be 11n, 11(n+1), 11(n+2). Their sum is 11(3n + 3) = 33(n + 1). Setting 33(n+1) = 363 gives n + 1 = 11, so n = 10. The three multiples are 110, 121, 132, and the largest is 132. Distractor 143 belongs to the next set (121+132+143 = 396), and 121 is the middle multiple, not the largest.

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Two angles of a triangle are equal, and the third angle is greater than each of them by 30°. What are the three angles of the triangle?

  1. 40°, 40°, 100°
  2. 50°, 50°, 80°
  3. 60°, 60°, 60°
  4. 45°, 45°, 90°
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Correct answer: B. 50°, 50°, 80°

Let each of the two equal angles be x°. The third angle is (x + 30)°. **By the angle sum property:** x + x + (x + 30) = 180, so 3x = 150 and x = 50. The angles are 50°, 50°, 80°. The 80° angle is exactly 30° more than 50°, as required. Distractor 40°,40°,100° sums to 180° but the difference between 100 and 40 is 60, not 30.

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More Mathematics topics

Unit 3B: Implicit Differentiation and Inverse FunctionsUnit 3A: Chain Rule and Composite FunctionsUnit 1A3: Function Composition and InversesUnit 1A1: Relations, Functions and GraphsUnit 1A2: Trigonometric Functions & Inverse TrigUnit 2: Differentiation and Fundamental Derivative RulesUnit 6A: Indefinite Integrals & Fundamental TheoremUnit 1B1: Limit Concepts and Graphical Limits