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Calculus Questions - All Grades

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Grade 12 Sequences and Series CCSS: HSA-SSE.B.4
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
What is the recursive function of the geometric sequence 3, 4.5, 6.75...?
  1. [math]f(n)=1.5f(n-1)[/math] where [math]f(1)=3[/math]
  2. [math]f(n)=3xx1.5^(n-1)[/math]
  3. [math]f(n)=1.5xx3^(n-1)[/math]
  4. [math]f(n)=3f(n-1)[/math] where [math]f(1)=1.5[/math]
Grade 12 Sequences and Series
Grade 9 Sequences and Series
Find the next three terms in this sequence 5120, 1280, 320, 80...
  1. -160, -400, -640
  2. 20, 5, 1.25
  3. 40, 20, 10
  4. 76, 72, 68
Grade 11 Sequences and Series
The standard form of a quadratic equation in standard form is the following:
  1. y = mx + b
  2. [math]y = ax^2 + bx + c[/math]
  3. [math]y = a(x - h)^2 + k[/math]
  4. y = a(x - p)(x - q)
College Calculus
Find the following indefinite integral
[math]int(8x^8 -6) dx[/math]
  1. [math]8/9x^9+C[/math]
  2. [math]64x^7+c[/math]
  3. [math]8/9x^9-6x+C[/math]
  4. [math]8/9x^9-6+C[/math]
College Calculus
Find the Following indefinite integral
[math]int(-7x^2+ 4/x- 5/x^4) dx[/math]
  1. [math]-7x^3 + 4 ln(|X|) -5x^-3 +C[/math]
  2. [math]1/3x^3 + 4ln (|X|) + 5/3 x^-3 +C[/math]
  3. [math]-7/3x^3 + 4ln(|X|) + 5/3x^-3 +C[/math]
  4. [math]-14x - 4x^-2 + 20x^-5 +C[/math]
College Calculus
Find the following indefinite integral
[math]int(-3/x+2x^(-1/4) - 8e^x) dx[/math]
  1. [math]-ln(|x|) -8/3x^(3/4)-8e^x +C[/math]
  2. [math]-1/3ln(|x|) + 8/3x^(3/4) - 8e^x+C[/math]
  3. [math]-3 ln(|X|) + 8/3x^(3/4)-8e^x +C[/math]
  4. [math]-3 ln(|X|) + 8/3x^(3/4) - 8/xe^x+C[/math]
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
What is the explicit function of the geometric sequence 3, 4.5, 6.75...?
  1. [math]f(n)=1.5f(n-1)[/math] where [math]f(1)=3[/math]
  2. [math]f(n)=3xx1.5^(n-1)[/math]
  3. [math]f(n)=1.5xx3^(n-1)[/math]
  4. [math]f(n)=3f(n-1)[/math] where [math]f(1)=1.5[/math]
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 6 numbers in the series [math]512,2048,8192...[/math]
  1. [math]1.8 xx 10^16[/math]
  2. [math]698880[/math]
  3. [math]2096640[/math]
  4. [math]32256[/math]
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 12 numbers in the series [math]8,24,72,216,648...[/math]
  1. [math]2 125 760[/math]
  2. [math]6.87 xx10^10[/math]
  3. [math]531441[/math]
  4. [math]-2 125 760[/math]
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