I would like for someone to help me out with these problems,

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I need help with my calculus homework, can someone help me out, at least show me how to solve these problems, I will really appreciate your help. I an unable to do them, i dont understand this much, please can somoene help me out, I am very frustrated, thanks

1- The mean value theorem guarantees the existence of a special point on the graph of Y=square root of X between (0,0) and (4,0), what are the coordinates of this point?

2- What is the limit as h approaches zero of (8(1/2 + h)^8 ) - (8(1/2)^8)/h)?

3- For what value of K will x + (k/x) have a relative maximun at x = 2?

4. The graph of Y = 5x^4 - x^5 has a poing of inflection at?

5. If f(x) = 2 + |x-3| for all x, then thevalue of the deravite f'(x) at x = 3 is?

6. For what non negative value of b is the line given Y= -1/3X +b normal to the curve Y = x^3?

7. If f(x) = 1/3X^3 - 4X^2 + 12X - 5 and the domain is the set of all x such that 0 less than or equal to X less than or equal to 9, then the absolute maximun value of the function f occurs when X is?

8. When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is?

9. Lef f and g be differentiable funcitons such that

F(1) = 2 f'(1) = 3 f'(2)=-4
g(1)= 2 g'(1)=3 g'(2)=5

if h(x) = f(g(x)), then h'(1) = ?

10. If f(x) = (x-1)/(x+1) for all x not equal to -1, then f'(1) = ?
 
You've shown no work, so I'll assume you're asking for hints to get started.

1) What sort of point does the Mean Value Theorem guarantee? What steps have you taken to try to find this point?

2) Do you have to use the limit procedure, or can you use the derivative formulas you've learned? If you have to use limits directly, then I would apply the difference-of-squares formula repeatedly to the difference in the numerator, until you can something you can simplify and then cancel off with the "h" in the denominator. Then evaluate what's left at h = 0.

3) What do you need to do to find relative max/min points?

4) Start by taking the first and second derivatives.

5) Look at the graph. Think about the relationship between limits and derivatives.

6) What is the slope of (what I will guess is meant to be) y = (-1/3)x + b? What is the slope of the tangent line to y = x<sup>3</sup> at any point x? What does "normal" mean? So what is the relationship between the slope of the tangent at x and the slope of y = (-1/3)x + b?

7) Start by finding the first derivative, finding the relative max/min points, and testing the endpoint of the interval. Then review the definition of "absolute" max/min points.

8) What is the formula for the area A of a circle with radius r? Differentiate this formula implicitly with respect to time t. Plug in the given relationship.

9) Plug into the Chain Rule formula they gave you.

10) Apply the Quotient Rule.

This should be enough to get you started. If you get stuck on a problem, please reply showing how far you have gotten. Thank you.

Eliz.
 
CAN YOU SHOW ME HOW TO SOLVE THEM, THANKS

stapel said:
You've shown no work, so I'll assume you're asking for hints to get started.

1) What sort of point does the Mean Value Theorem guarantee? What steps have you taken to try to find this point?

2) Do you have to use the limit procedure, or can you use the derivative formulas you've learned? If you have to use limits directly, then I would apply the difference-of-squares formula repeatedly to the difference in the numerator, until you can something you can simplify and then cancel off with the "h" in the denominator. Then evaluate what's left at h = 0.

3) What do you need to do to find relative max/min points?

4) Start by taking the first and second derivatives.

5) Look at the graph. Think about the relationship between limits and derivatives.

6) What is the slope of (what I will guess is meant to be) y = (-1/3)x + b? What is the slope of the tangent line to y = x<sup>3</sup> at any point x? What does "normal" mean? So what is the relationship between the slope of the tangent at x and the slope of y = (-1/3)x + b?

7) Start by finding the first derivative, finding the relative max/min points, and testing the endpoint of the interval. Then review the definition of "absolute" max/min points.

8) What is the formula for the area A of a circle with radius r? Differentiate this formula implicitly with respect to time t. Plug in the given relationship.

9) Plug into the Chain Rule formula they gave you.

10) Apply the Quotient Rule.

This should be enough to get you started. If you get stuck on a problem, please reply showing how far you have gotten. Thank you.

Eliz.
Click to expand...
 
I don't see what YOU'VE done so far. All you did was quote Stapel.
 
happy said:
I don't see what YOU'VE done so far. All you did was quote Stapel.
Click to expand...

This is not for me, is for my brother, he is the one who needs the help, can you please help him, thanks
 
happy said:
What part of Stapel's hints did he not understand?
Click to expand...

he just email me , he say none, at least he wants some examples with numbers, then he can try to them on his own, anyway you can help him, thanks
 
If he just emailed you, why doesn't he come here and let us know exactly where he is stuck? It would be easier for all of us.
 
bluemega said:
[my brother] wants some examples with numbers....
Click to expand...
In other words, he wants lessons that cover the topics from two or three chapters in his book, maybe from the entire semester.

The reason it took scores or hundreds of pages in his text and weeks or months in his classroom to cover this material is that it can't be covered in a simple forum posting. If he really knows "nothing" about this stuff, then he should reconsider his enrollment in the course, because there is no way he can learn all of this before the final on Friday (or whenever).

Sorry.

Eliz.
 
stapel said:
bluemega said:
[my brother] wants some examples with numbers....
Click to expand...
In other words, he wants lessons that cover the topics from two or three chapters in his book, maybe from the entire semester.

The reason it took scores or hundreds of pages in his text and weeks or months in his classroom to cover this material is that it can't be covered in a simple forum posting. If he really knows "nothing" about this stuff, then he should reconsider his enrollment in the course, because there is no way he can learn all of this before the final on Friday (or whenever).

Sorry.

Eliz.
Click to expand...

i POSTED SOME QUESTIONS REGARDING THE ONES I ASK FOR HELP, IS THERE ANYWAY YOU CAN HELP OUT, THANK YOU. THE QUESTIONS ARE IN ANOTHER TOPIC MESSAGE, ANYTHING LET ME KNOW, THANKS
 
2- What is the limit as h approaches zero of (8(1/2 + h)^8 ) - (8(1/2)^8)/h)?

6. For what non negative value of b is the line given Y= -1/3X +b normal to the curve Y = x^3?

8. When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is?

9. Lef f and g be differentiable funcTIons such that

F(1) = 2 f'(1) = 3 f'(2)=-4
g(1)= 2 g'(1)=3 g'(2)=5

if h(x) = f(g(x)), then h'(1) = ?

2)
 
UPDATE ON PROBLEM#8

8) when the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is?

I know the area of a circle is Pi*r^2

If i take derivative it will be 2*Pi*r, this is where I get stuck, can someone help me out, i dont know what to after this one.
 
2) Please show how far you've gotten in following the instructions, provided earlier.

6) Please show how far you've gotten in following the instructions, provided earlier.

8) You were not told to "differentiate (pi)r<sup>2</sup> with respect to nothing in particular", but to "differentiate A = (pi)r<sup>2</sup> implicitly with respect to time". Please follow the instructions.

9) Please show how far you've gotten in following the instructions, provided earlier.

Thank you.

Eliz.
 
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