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  9. MAT3EA1/MAT1A3E - Calculus of One Variable Functions - QUIZ

MAT3EA1/MAT1A3E - Calculus of One Variable Functions - QUIZ

MAT3EA1/MAT1A3E · Calculus of One Variable Functions

University of Johannesburg

Questions
10 Questions

Practice 10 questions on MAT3EA1/MAT1A3E - Calculus of One Variable Functions at University of Johannesburg. Free AI-generated quiz on uNotes — track your score, retake anytime.

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Questions

  1. 1
Which of the following expressions are mathematically equivalent to (1 + tanh x) / (1 - tanh x)?
  • 2Consider the hyperbolic functions and their limits as x approaches infinity. Which of the following statements are correct?
  • 3Which of the following are the correct first derivatives for the given inverse functions?
  • 4Identify the correct logarithmic representations of the inverse hyperbolic functions.
  • 5When evaluating the integral of x^2 * ln(x) dx using integration by parts, which of the following assignments and intermediate values are correct?
  • 6Consider the area enclosed by the curves y^2 + x - y = 2 and x + y = 2. Which of the following statements are true regarding the calculation of this area?
  • 7To evaluate the integral of sin(4x) * cos(x) dx, which of the following trigonometric identities or steps are correct?
  • 8Regarding the definite integral of cos^4(x) from 0 to pi/2, which of the following are correct?
  • 9When solving the integral of sec^3(x) * tan^5(x) dx, which of the following substitutions or identities are appropriate?
  • 10Which of the following are true regarding the integration of cos^-1(x) dx?
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