Calculus Semi-Jeopardy Game-GG

Limit of a Function

100

lim x>-2 ((1/x)+(1/2))/(x^3+8)

-1/48

200

lim x>3 (5x^2-8x-13)/x^2-5

2

300

lim x>2 (3x^2-x-10)/(x^2-4)

11/4

400

lim x>3 (x^4-81)/(2x^2-5x-3)

108/7

500

lim x>4 (3-sqr(x+5))/(x-4)

-1/6

Implicit Differentiation

100

2y^3+4x^2-y=x^6

(6x^5-8x)/(6y^2-1)

200

7y^2+sin(3x)=12-y^4

(-3cos(3x))/(14y+4y^3)

300

e^x-sin(y)=x

(e^x-1)sec(y)

400

cos(x^2+2y)+xe^(y^2)=1

(2xsin(x^2+2y)-e^(y^2))/(2yxe^(y^2)-2sin(x^2+2y))

500

tan(x^(2)y^(4))=3x+y^2

(3-2xy^4(sec^2(x^2y^4))/4x^(2)y^(3)(sec^2(x^2y^4))-2y))

Chain Rule

100

f(x)=(6x^2+7x)^4

4(12x+7)(6x^2+7x)^3

200

(4t^2-3t+2)^-2

-2(8t-3)(4t^2-3t+2)^-3

300

(1-8z)^1/3

-8/3(1-8z)^(-2/3)

400

csc(7w)

-7csc(7w)cot(7w)

500

2sin(3x+tanx)

2(3+((secx)^2)(cos(3x+tanx))

Finding Volume(pick carefully...it may make you happy or salty)

100

Que pasa?

Add 20(times however many people on your team) points to your team's score. :D

200

GOTEEE

Subtract 20(however many people on your team) points from your team's score. Sorry :'(

300

Rotate the region bounded by sq root (x), y=3 and the y-axis about the y-axis.

(243/5)π

400

Rotate the region bounded by y=7-x^2,x=-2 , x=2 and the x-axis about the x-axis.

(2012/15)π

500

Rotate the region bounded by x=y^2-6y+10 and x=5 about the y-axis.

(1088/15)π

Product and Quotient Rule

100

(4t^2-t)(t^3-8t^2+12)

20t^4-132t^3+24t^2+96t-12

200

(1+2z+3z^2)(5z+8z^2-z^3)

5+36z+90z^2+88z^3-15z^4

300

6x^2/(2-x)

(24x-6x^2)/(2-x)^2

400

3w+w^4/(2w^2+1)

4w^5+4w^3-6w^2+3/(2w^2+1)^2

500

(sqr(x)+2x)/(7x-4x^2)

((1/2x^(-1/2)+2)(7x-4x^2)-(x^(1/2)+2x)(7-8x))/(7x-4x^2)^2