Annual Calculus Questions

ShivamS · 2012-11-02 01:10:23

Find f'(x) (the derivative of f(x)) if f(x) = 7x^3 - 2x^2 + 4x - 5.

21x^2 - 4x + 4

The integral of 3x^2 - 4x + 1 equals x^3 - 2x^2 + x. Is this always correct?
No

Find dy/dx if y = e^a and a is constant.
0

If f(x) = x (ln x), find f'(x).
1 + ln x

If the velocity of a particle at time t is represented by the equation v(t) = 8t + 2, find the position of the particle at time 3 if the position at time 0 is 0.
42

An object is in freefall. It remains in freefall for 5 seconds before it hits the ground. How high was the object when it first started falling if its starting velocity was 0? (Acceleration due to gravity is -9.8 meters/second^2).
122.5m

If f(x) = (sin x)/x, what is the limit of the function as x approaches zero?
1

Find the area of the region bounded by the graphs of y = x^2; x = 0; x = 2; and the x axis.
8/3

If f(x) = e^x, the integral of f(x) always equals the derivative of f(x).
no

If f(x) = x^3 - 2x^2 + 4x + 1, how many inflection points does this graph have?
1

ShivamS · 2012-11-02 01:13:24

If you guys could check them...Much appreciated.

zetafunc. · 2012-11-02 01:16:53

Those all look correct to me.

bobbym · 2012-11-02 01:18:57

Hi;

I agree with the first six.

ShivamS · 2012-11-02 01:19:34

Well, this was relatively simple. Anyways, thanks a lot.

bobbym · 2012-11-02 01:22:09

Hi;

7 and 8 are also good.

ShivamS · 2012-11-02 01:22:46

Thank-you. Much appreciated.

zetafunc. · 2012-11-02 01:24:00

May I ask what course this is for? It seems like your work is a mixture of calculus and mechanics -- do you do any statistics?

ShivamS · 2012-11-02 01:25:04

Not statistics. I am taking a mechanical engineering course along with a physics course.

Last edited by Shivamcoder3013 (2012-11-02 01:25:19)

bobbym · 2012-11-02 01:25:44

Hi;

9,10 and 11 all fine by me. Very good!

ShivamS · 2012-11-02 01:26:33

Thank-you, but these were extremely easy. Doesn't deserve a "very good"!

bobbym · 2012-11-02 01:28:35

Are there any really easy problems? You can always make a mistake. Last mistake I made I did not copy the answer correctly after I found it!

ShivamS · 2012-11-02 01:29:01

Ha! But these are just review questions.

bobbym · 2012-11-02 01:34:41

Some people when faced with easy questions or tasks make mistakes. In competition we have a name for people like that.

ShivamS · 2012-11-02 01:36:22

Meh. What is the name?

bobbym · 2012-11-02 01:39:50

Loser.

When someone is capable of beating weaker opponents consistently we say he is a good fishkiller. Same thing with questions. Your success in life is going to be determined by how you deal with the easy stuff. That is where you show your concentration and consistency.

ShivamS · 2012-11-02 01:41:01

Fishkiller. What about beating someone older and stronger then you? Lion-Killer?

bobbym · 2012-11-02 01:45:02

School teaches you about winning the big ones and being a hero. I know many people who are capable of slaying a dragon but then they lose to a much weaker obstacle. They lack consistency, they lack focus. They can not succeed.

ShivamS · 2012-11-02 02:02:20

Then there are the occassional few who take advantage of school and retain their knowledge forever (i.e. a guy named bobbym).

bobbym · 2012-11-02 02:19:33

The two best mathematicians in my opinion on this site are both self taught!

ShivamS · 2012-11-02 02:22:41

Those being? You and MIF? In terms of the few best on this site (in my preference): You, MIF, Stefy. Self-taught or not.... I would consider myself self-taught, as I elarn nothing from school (as of now). However, it is challenging. Visiting calculus-tutoring sites when I was 9...What a bother!

Last edited by Shivamcoder3013 (2012-11-02 02:23:36)

bobbym · 2012-11-02 02:28:00

Certainly not me. I have carelessly said something I should not have and apologize for mentioning those two people.

ShivamS · 2012-11-02 02:29:44

Always be meticulous in your actions! But how is a bad thing? Mind discolsing those two sacred names of master mathematicians on this very forum?

bobbym · 2012-11-02 02:37:28

If I mention them I insult others who may feel left out. There are many talented people here. The best part is most of them do not know it!

ShivamS · 2012-11-02 02:38:36

Anyone smart enough to think that they deserve to be held in great self-esteem by you are smart enough to honour the skils of others.

Math Is Fun Forum

#1 2012-11-02 01:10:23

Annual Calculus Questions

#2 2012-11-02 01:13:24

Re: Annual Calculus Questions

#3 2012-11-02 01:16:53

Re: Annual Calculus Questions

#4 2012-11-02 01:18:57

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#5 2012-11-02 01:19:34

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#6 2012-11-02 01:22:09

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#7 2012-11-02 01:22:46

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#8 2012-11-02 01:24:00

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#9 2012-11-02 01:25:04

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#10 2012-11-02 01:25:44

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#11 2012-11-02 01:26:33

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