The most basic math quiz

[Archbob]

People at apolyton seem to be having trouble with this quiz, lets see if you guys can do any better.


This test is 10 questions to see if you guys have the most fundemental basics in math.

1. The limit as x reaches infinity of (3x^2)/(4x^2) is?

2. The derivitive of ((x-2)(x^2-4))/(x-6) is?

3. The integration of tan x is?

4. Find the area bound by the y axis x=2 and x=4 and the line y=X^3-4x

5. What is the volume when the area in #4 is spun around the y-axis?

6. What is the limit as x reaches infinity of x^x ?

7. Given the function y=cos (x) , what is the 5th term of the maclurin series?

8. What is the integration of (x)(sin(x)) ?

9. Given the function y=x^3-2x what is the value of kappa, or curvature of the line at x=5(note:This is not what the slope of the tangent line at five)

10. What is the distance between the two parrallel lines 3x-4y+5z=3

and -3x+4y-5z=6 ?


Bonus(This is hard: I haven't gotten the answer yet):

Given the 3 dimensional vector m=7i-4j+5k find two vectors u and v that are prependiculat to each other and also perpendicular to m .


Well, you should easily get all but the bonus if you've got basic math skills.

 

[animepornstar]

do you really think that i will do linear algebra when i´m surfing the net.

 

[Zwelgje]

I think this thread really belongs in the humor and jokes section......

 

[DaEezT]

well, my final exams in math have been just 6 month ago and already i don't know anything anymore
Well, I could do most of the stuff cause it's exactly what we did in the last year but I am too lazy

3. Is the easiest one though.

 

[S.P.Q.R.]

I guess my problem concerning this question is not maths but English!

 

[Maj]

This test is 10 questions to see if you guys have the most fundemental basics in math.

Well, you should easily get all but the bonus if you've got basic math skills.

On a day to day basis, how often would you say you apply any of these 'fundamental basics in math'?

And if these are the fundamentals, where does that put arithmetic?

I suppose if I went back to my Calculus and Algeo textbooks I could answer most of these, but unless someone has taken up engineering, mathematics, or a very math-intensive science as their major, I doubt they'll have even the most 'basic' skills in math.

Right now, I doubt I could answer any of these, except maybe the first two.

1+1 = 11?

-Maj

 

[Matrix]

1. The limit as x reaches infinity of (3x^2)/(4x^2) is?

3/4. Not only when x reaches infinity, but always.

2. The derivitive of ((x-2)(x^2-4))/(x-6) is?

((3x^2-4x-4)/(x-6))-(x-2)(x^2-4)

3. The integration of tan x is?

From minus infinite to infinite: 0.

4. Find the area bound by the y axis x=2 and x=4 and the line y=x^3-4x

That is the integral of 2 to 4 of (x^3-4x)dx. The integral is 1/4*x^4-2x^2. The answer is 28.

5. What is the volume when the area in #4 is spun around the y-axis?

28*2*pi = 56*pi = about 176.

6. What is the limit as x reaches infinity of x^x ?

Infinity.

7. Given the function y=cos (x) , what is the 5th term of the maclurin series?

You got me here. I've never heard of maclurin.

8. What is the integration of (x)(sin(x)) ?

Again you haven't given the borders. But from minus infinite to infinite it's again 0.

9. Given the function y=x^3-2x what is the value of kappa, or curvature of the line at x=5(note:This is not what the slope of the tangent line at five)

Again, I'm at a loss. What's kappa/curvature? (Except a letter in the greek alphabet.)

10. What is the distance between the two parrallel lines 3x-4y+5z=3 and -3x+4y-5z=6 ?

I was able to solve this once, but I've already solved 7 problems. I'm not in the mood now. Perhaps later.

Bonus(This is hard: I haven't gotten the answer yet):

Given the 3 dimensional vector m=7i-4j+5k find two vectors u and v that are prependiculat to each other and also perpendicular to m.

Sorry. Don't know what prependicular is.

Well, you should easily get all but the bonus if you've got basic math skills.

Not true. I can do this because I study chemistry and must be able to do these mathematical things. But it's not basic!

 

[Archbob]

If I don't give the bounds of integration then I just want the expression, not a value.
xsin(x) is basic integration by parts.

Wow, you got those right!

 

[damunzy]

Basic? What planet are you from again?

 

[geake]

Originally posted by Fallen Angel Lord


Bonus(This is hard: I haven't gotten the answer yet):

Given the 3 dimensional vector m=7i-4j+5k find two vectors u and v that are prependiculat to each other and also perpendicular to m .

Well, let's n=xi+yj+zk a vector perpendicular to m.

Then we have 7x - 4y + 5z = 0 because if they're perpendicular the scalar product is equal to 0.
We pick up a solution. (any solution except (0,0,0)).

To get the last vector, we take the result of the vectorial product of m and n.

 

[King of England]

Basic, huh? This will be real easy ....

*Looks at questions*

Ah! Aaagh! Aaaaaaaaaggggggghhhhhhhhh!!!!!!!!!!!!!!!!!

*runs out door leaving briefcase full of paper shreds*



Come back to me in 5 years.

BTW, Basic is a tricky word.....

 

[Suppersalmon]

All these questions remind me of school NOOOOOOOOOO :rocket2: die school die :slay:

 

[BlueMonday]

C'mon super-geeks! Try this one:

find the Taylor Series centered at the origin for the function

[definite intregral from 0 to x of the function]
(1+t^2)/(1-t^2)

hint: use the geometric series "1/(1-t)= [the sum from n=0 to infinity of] t^n"

 

[Matrix]

Well, don't look at me this time. I've just had an exam this morning and am still a bit empty. It was about real quantum mechanics.

These are the kind of things I needed to calculate:
Sums aren't normal sums; we look at a function (representing the possibility of a partical being at a certain space), we execute an operator on that function and we get a constant times the same function. Example: take the function e^2x. Execute this operator: 3 d/dx. That means: first differentiate to x, then multiply with 3. Differentiation gives 2*e^2x. Multiplication gives 3*2*e^2x = 6e^2x. So the constant it gives is 6.

Not any operator works on any function. But if it does, the function is a so-called eigenfunction of the operator.

Functions quantum mechanics works with are e.g.: A*e^(i*k*x)+B*e^(-i*k*x).
One mostly used operator: the Hamiltonian (H): -"h-bar"/2m d^2/dx^2.
This example gives as constant: k^2*"h-bar"^2/2m.
(Got that from my book. )