Limits
lim(x->3) of (sqrt(x^2) +3x-2x/3)
10
integral of (3x-4)/(sqrt(3x^2-8x+5)) d/dx
1/2sqrt(3x^2-8x+5)+c
After being captured by Mr. Nygma for for unknown reasons, Mr. Cobblepot is subject for extensive torture via mathematics . Find the factors
x^2+4x-21
(x+7)(x-3)
While in prison Mr. Lawton is doing his daughter's math homework so he can help her when he gets back.
sin(315)+cos(390)
(-sqrt2-sqrt3)/2
Mr. Dent recently captured Ms. Kyle and is deciding wether to kill her or not, he looks at his coin and flips it twice, if both end up as tails then Ms. Kyle lives. What are the chances of Ms. Kyle keeping her head?
0.25
lim(x->-2) of (e^x +7x^2 -5x/4)
61/2 +1/e^2
integral of x^3(x^2+1)^4 dx
1/60(x^2+1)^5(5x^2-1)+c
He realized that math can be used to escape but he needs an equation first the point of his prison is (0.-6) and the point of his base is (-9.359,0)
y=-x^2-10x-6
He recognized that he can use math to escape, good thing he kept a camera in his mouth for his friends to see he begins rambling equations for throwing a bomb on his piece of paper. the height of his prison is 70 m the angle of elevation for his canon is 135 degrees find the length that the bomb will travel
sqrt2//140
After failing to kill Ms. Kyle. Mr Dent gets drunk with Cobblepot and Bane, Mr. Dent agreed to a game of Russian Roulette with a 6 barrel gun. After Bane and Cobblepot took their shots it was finally Mr. Dents's turn, as soon as the gun is on his head he realized that he screwed up, But theres no backing out now
3/4
lim(x->-pi/2 of (e^x+sinxcosx-x/2)
pi/4 + 1/e^pi/2
integral of -1 to 1 of (x/4 +1)^3 dx
17/8
Before he could continue My. Nygma sends core torture, help Mr. Cobblepot solve this question: X intercept of y= x^2 + (x+5)(x+7)
(35,0)
As he and the suicide squad is being pursued he draws an imaginary triangle in his head to predict the trajectory of his submachine gun. The ABC triangle has a=50m and b=130m as well as the angle A=45 find the lenght of c
96/sqrt2
His success at escaping death inspires him to steal 2 diamonds and 4 rubies. One of Mr. Dent's minions dropped it in a bag of 6 explosives. After blowing the minions brains out, Mr Dent attempts to pull out 3 things at once without triggering any of the explosives what is the probability of not dying
1/11
lim(x->infinity) of (5x^3- 3^sqrt(5x) +7x)/(x^3+4x)
5
integral of 1 to 5 of (2x/(x^2+1)^2)dx
6/13
Final question before Mr. Cobblepot can escape
y= 3x^2+56x+18
2920
As soon as Mr. Lawton arrives home he helps his daughter finish her math homework
cos(270)*tan(315)
0
Mr. Dent having stolen diamonds now wants to rob a bank. In his effort to do he captured 5 boys and 3 girls to act as potential suicide bombers. He decides to increase the tension by randomly picking the victims. what are the chances of Mr. Dent picking 2 girls given that it consists of at least 1 girl
6/13
lim(x->2) of (x^2-8x+12)/(x^2-4)
-1
integral of 2 to 3 of 15xsqrt(x-2)
20
By finding the vertex of this equation y=-x^2-10x-6 the penguin will know the highest point(a) and by finding the x intercept of the equation penguin will know the landing point(b).
answer like this
(a)=
(b)=
(a)=(-5,19)
(b)=(0,-6)
The second question he has to help her with is to find the area of an ABC triangle with A=60 B=30 C=90 a=7 b=8 and c=sqrt89
28
Upon learning about Mr.Dent's machinations, Mr. Wayne lurks above the bank eyeing the 3 victims in how many orders can he dispatch each bomber? (a) And later he plans to beat up Mr. Dent and his goons all 7 of them(b) in how ways can he do both?
answer like this
(a)=
(b)=
(a)= 6
(b)=5040