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Math Help - Help needed with calculus questions

  1. #1
    Newbie calculus-geeks09's Avatar
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    Talking Help needed with calculus questions

    1. determine the derivative of F(x)=(cos(2x-4))^3 at x=pie/b
    2. determine d/dx 3x^4-3x/3x^4+3x
    3. compute 4x^2x^3+4dx
    4. an open rectangular box with volume 6m^3 has a square base. Express the surface area of the box as a function s(x) of the length x of a side of the base .
    5. a box with an open top is to be constructed from a rectangular peice of cardboard with dmensions. b=5in. a=28in by cutting out equal squares of side x at each corner and then folding up the sides. find the maximum volume.
    6. a spherical balloon with raduis r inches has volume 4/3pie^3. Find a function that represents the amount of air required to inflate the balloon from a radius of r innches to a radius of r+1 inches.
    7. Lim as t approaches 2= t^2-4/t^3-8
    8. absolute max. y=36-x (-6,6)
    9. How many points of inflection in this graph
    f(x)=12x^3=14x^2-7x-p

    10. estimate the area from 0 to 5 under the graph
    f(x)=81-x^2 using 5 rectangles from right end points.
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  2. #2
    Junior Member
    Joined
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    Would you type those up using LaTex? There is a subsection with a tutorial. I will help more if you can do that since I don't want to type them up and make sure that we are on the same page. I will tell you that for number nine find y'' and set it to zero and solve to find the inflection points.

    Edit:I typed this up yesterday and it should help you find 10's answer just change the interval, \Delta x, the summation, and where it says left use right
    a) Sketch the region R.
    Simply sketch f(x) on the given interval

    b) Partition [0,2] into 4 subintervals and show the four rectangles that LRAM uses to approximate the area of R. Compute the LRAM sum without a calculator.
    First you need to find the width of the 'subintervals'. We will call the width \Delta x. To find \Delta x on the interval [a,b] we use the following equation (b-a)/n where n is the number of subintervals.

    You are doing an LRAM so you use the left point when making your rectangles. To find the height just insert the x into f(x) where you need to find the height.

    The area under curve (what you are finding) is - Area= A_1 + A_2 ... + A_n. To simplify this we can do a summation - \sum_{j=0}^{2} A_j = \Delta x \sum_{j=0}^{2} f(x_j)

    Let me know if that makes any sense.
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  3. #3
    Newbie calculus-geeks09's Avatar
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    I don't know how to use the LaTex because I'm new here !
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  4. #4
    Senior Member euclid2's Avatar
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    Quote Originally Posted by calculus-geeks09 View Post
    I don't know how to use the LaTex because I'm new here !
    http://www.mathhelpforum.com/math-he...-tutorial.html
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