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Calculus Questions - All Grades

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Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What are the next 2 numbers in the sequence [math]1, 5, 9...[/math]?
  1. [math]45,225[/math]
  2. [math]14,18[/math]
  3. [math]13,17[/math]
  4. [math]32,128[/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]
Grade 11 Sequences and Series
The standard form of a quadratic equation 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)
Grade 12 Calculus CCSS: HSF-IF.C.7c
On [math]f(x)=2x^5+x^3-3x[/math]
  1. [math](-0.65,1.4)[/math] is a relative and absolute maximum.
  2. [math](0.65,-1.4)[/math] is a relative and absolute minimum.
  3. [math](-0.65,1.4)[/math] is a relative maximum.
  4. [math](0.65,-1.4)[/math] is a relative minimum.
  5. Both A and B.
  6. Both C and D.
  7. None of the above.
Grade 12 Calculus
What is the area under the curve for the function [math]f(x)=3x^3+2x^2[/math] on the closed interval [math][-5,5][/math]?
  1. [math]int_-5^5(3x^3+2x^2)dx=500/3[/math]
  2. [math]int_-5^5(3x^3+2x^2)dx=3/500[/math]
  3. [math]int_-5^5(3x^3+2x^2)dx=3[/math]
  4. [math]int_-5^5(3x^3+2x^2)dx=500[/math]
Grade 12 Calculus
On what intervals is the function [math]f(x)=3x^3+2x^2[/math] concave upwards and downwards?
  1. concave upward [math](-2/9, oo)[/math], concave downward [math](-oo, -2/9)[/math]
  2. concave upward [math](-oo, -2/9)[/math], concave downward [math](-2/9, -oo)[/math]
  3. concave upward [math](0, oo)[/math], concave downward [math](-oo, 0)[/math]
  4. concave upward [math](-oo, 0)[/math], concave downward [math](0, oo)[/math]
Grade 12 Calculus
What is the second derivative of [math]f(x)=3x^3+2x^2[/math]?
  1. [math]f''(x)=18x+4[/math]
  2. [math]f''(x)=9x^2+4x[/math]
  3. [math]f''(x)=18[/math]
  4. [math]f''(x)=0[/math]
Grade 12 Calculus
On what intervals is the function [math]f(x)=3x^3+2x^2[/math] increasing or decreasing?
  1. increasing: [math](-oo,-4/9) uu (0, oo)[/math], decreasing: [math](-4/9, 0)[/math]
  2. increasing: [math](-oo,-4/9)[/math], decreasing: [math](-4/9, 0)[/math]
  3. increasing: [math](-oo,0) uu (-4/9, oo)[/math], decreasing: [math](-4/9, 0)[/math]
  4. increasing: [math](-4/9, 0)[/math], decreasing: [math](-oo,-4/9) uu (0, oo)[/math]
Grade 12 Calculus
What are the critical numbers of the following equation?
[math]f(x)=3x^3+2x^2[/math]
  1. [math]x=-4/9, 0[/math]
  2. [math]x=4/9, 0[/math]
  3. [math]x=-9/4, 0[/math]
  4. [math]x=9/4, 0[/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]
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 7 numbers in the series [math]5,25,125,625,...[/math] ?
  1. [math]19531[/math]
  2. [math]9.77 xx10^5[/math]
  3. [math]97655[/math]
  4. [math]78125[/math]
Grade 12 Sequences and Series
The sum to infinity of the geometric sequence [math]16, 8, 4, 2, ...[/math] is
  1. [math]8[/math]
  2. [math]16[/math]
  3. [math]32[/math]
  4. [math]64[/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]698,880[/math]
  3. [math]2,096,640[/math]
  4. [math]32,256[/math]
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What is the 61st number in the sequence [math]-3, 0, 3...[/math]?
  1. [math]366[/math]
  2. [math]363[/math]
  3. [math]177[/math]
  4. [math]183[/math]
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