Calculus II Tutorial 3: Limit and Function Continuity
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Questions and Answers

What is the value of lim (4+1) as i approaches 15?

  • 43,018 (correct)
  • 136
  • 44,880
  • 45,016
  • What is the Riemann sum approximation of f(x)dx on the interval [1, 10] using the subintervals [1, 3], [3, 7], [7, 9], and [9, 10]?

  • 370
  • 620 (correct)
  • -620
  • -305
  • What is the value of ∫(4f(x) — 2g(x))dx if ∫f(x)dx = 1 and ∫g(x)dx = 4?

  • 1
  • 6
  • 3
  • 5 (correct)
  • If f and g are continuous functions, which of the following must be true?

    <p>II only</p> Signup and view all the answers

    What is the value of ∫f(x)dx if f is a continuous function with slope m and y-intercept b?

    <p>m + b</p> Signup and view all the answers

    What is the area under the graph of the function f(x) = 32+2x on the interval [1, 3]?

    <p>4+2n3</p> Signup and view all the answers

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