Limits
Trigonometry
Derivatives
Antiderivatives
Miscellaneous
100

The lim           5n-4n^3     

      n→∞    3n^3+4n^2+7

What is -4/3

100

The cos(60)

What is 1/2

100

dy/dx: x3

What is 3x2

100

The ∫(7x-2)3dx

What is ((7x-2)4/28) + C

100

These kids are always late to Period 1 calc

Nick and Peter

200

The lim         x^3-1       

      x→1       x^3-x

 what is x^2+x+1 

              x(x+1)

200

The sec(150)

-2√3/3

200

dy/dx: (3x+2)/(x+1)

What is 1/(x+1)2

200

The ∫(1-cosx)2sinxdx

What is ((1-cosx)3/3) + C

200

(T/F) No student of Mrs. Thomson has scored a 1 on the Calculus AB exam

True

300

If f(x) = 1/x for all x ≠ 0, what is the lim f(f(x))?

                                                      x→0 

what is DNE because limits don’t equal each other  (- ≠ +)

300

The cot(-210)

-√3

300

dy/dx: x^3+5x (don't simplify)

           x^2-3

What is (x^2-3)(3x^2+5)-(x^3+5x)(2x)

                 (x^2-3)^2

300

The ∫sec2(3θ)dθ

What is ⅓tan(3θ) + C

300

The Eminem song that Mrs. Thomsen enjoys the most

What is Lose Yourself?

400

If f(x) = 3x^2+2x, then f’(x)= (in terms of lim)

                                                              h→0

what is lim      (3(x+h)^2 + 2(x+h)) - (3x^2+2x) 

           h→0                          h

400

The csc(13π/6)

What is 2

400

dy/dx: sec(x)cot(x)

what is -csc(x)cot(x)

400

The ∫((1/x2)(1 + 1/x)½)dx

What is -⅔(1 + 1/x)3/2 + C

400

The school that Mrs. Thomson's daughter attended

What is Binghamton University

500

The lim               2x+3 

      x→-∞      √x^2+x+1

what is -2

500

The tan(-300)

What √3

500

ln( √x^2+1 )

         x+3

what is       x       -      1     

             x^2+1      2(x+3)

500

The ∫((ax + b)/(ax2 + 2bx + c)1/2)dx

What is (ax2 + 2bx + c)1/2 + D

500

The homemade treat that Mrs.Thomsen makes from scratch

What is Ice Cream?