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Calculus Questions - All Grades

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College Integrals
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 Integrals
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 12 Limits
Grade 12 Limits
Describe the end behavior of [math]f(x)=2^x-3[/math].
  1. [math]"As " x -> -oo, y-> -3; \ "as " x->oo, y->oo[/math]
  2. [math]"As " x -> -oo, y-> oo; \ "as " x->oo, y->oo[/math]
  3. [math]"As " x -> -3 , y-> oo; \ "as " x->oo, y->oo[/math]
  4. [math]"As " x -> -oo, y-> oo; \ "as " x->oo, y->-3[/math]
Grade 12 Calculus
Find the average rate of change of [math]f(x)=-4x^2+3x-4[/math] on the interval [math][-1, 3][/math].
  1. [math]-1/5[/math]
  2. [math]5[/math]
  3. [math]1/5[/math]
  4. [math]-5[/math]
Grade 12 Limits
College Integrals
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 12 Derivatives
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 Limits
College Integrals
[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]
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 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 Derivatives
What is the derivative of [math]f(x)=3x^3+2x^2[/math]?
  1. [math]f'(x)=9x^2+4x[/math]
  2. [math]f'(x)=3x^2+2x[/math]
  3. [math]f'(x)=0[/math]
  4. [math]f'(x)=12x^2+6x[/math]
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