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Algebra & Calculus Pinnacle: The Definitive Exam Problem Bank

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25 questionsBank.questionsCount
1

Solve the integral of x^3 from 0 to 2.

  • 12
  • 24
  • 36
  • 48
2

Find the derivative of f(x) = e^(2x)sin(x).

  • 1e^(2x)(2sin(x) + cos(x))
  • 22e^(2x)cos(x)
  • 3e^(2x)(cos(x) - 2sin(x))
  • 4e^(2x)(2cos(x) + sin(x))
3

Evaluate the limit: lim (x -> 0) (sin(x)/x).

  • 10
  • 20.5
  • 31
  • 4Does not exist
4

Find the second derivative of y = ln(x^2).

  • 11/x^2
  • 2-1/x^2
  • 3-2/x^2
  • 42/x^3
5

Solve the equation: 2^(x+1) = 32.

  • 13
  • 24
  • 35
  • 46
6

Calculate the area under the curve y = x^2 between x = 1 and x = 3.

  • 15
  • 29
  • 37
  • 48 2/3
7

For the sequence defined by a_n = 3n + 1, find the sum of the first 10 terms.

  • 1140
  • 2145
  • 3150
  • 4165
8

Determine the inverse of the function f(x) = 2x + 3.

  • 1(x - 3)/2
  • 2x + 3/2
  • 32x - 3
  • 41/(2x + 3)
9

Find the eigenvalues of the matrix A = [[2, 1], [1, 2]].

  • 11 and 2
  • 23 and -1
  • 33 and 1
  • 42 and 0
10

Evaluate the integral ∫(3x^2 - 4x + 1)dx.

  • 1x^3 - 2x^2 + x + C
  • 2x^3 - 2x^2 + x + C
  • 33x^3 - 4x^2 + x + C
  • 43x^2 - 4x + 1 + C
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