Recent content by ryan.1015

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    Finding points farthest away from the origin

    well i found the derivative as 18x + 4xy'=4y=12y'=0. is that correct?
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    Finding intervals of increasing, decreasing, concavity and inflection points

    well i found the derivative to be 10x^4 +30x^2+15 but when i graphed it i couldt figure out where it crossed the x axis
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    How Large Can g(1) Be Given g'' > 4 on (-2,2)?

    i have no idea. we haven't done any problems like this before. Usually he just gives us an equation and asks for the max
  4. R

    How Large Can g(1) Be Given g'' > 4 on (-2,2)?

    i have no idea. we haven't done these type of problems before. usually he just gives us an equation and just asks us to find the max
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    What is the derivative of f(x) = 2cos3x + 3sin2x on the interval (-pie, pie)?

    im not sure if i did the derivative right. i got -2sin3x+ 3cosx as the first derivative
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    Sketching Graph of g(x)=sin5x +sin3x +sinx

    Homework Statement sketch the graph of g(x)=sin5x +sin3x +sinx. Homework Equations The Attempt at a Solution
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    How Large Can g(1) Be Given g'' > 4 on (-2,2)?

    Homework Statement suppose that g is a function defined and continuous on (-2,2) and that g" exists on the open interval (-2,2). if g(-2)=1 and g">4 for all x in (-2,2), how large can g(1) possibly be? Homework Equations The Attempt at a Solution
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    Finding points farthest away from the origin

    Homework Statement find the points on the curve 9x^2 + 4xy +6y^2=11 that are farthest away from the origin Homework Equations The Attempt at a Solution
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    Max Area Rectangle on y=cosx Curve

    Homework Statement find, correct to five decimal places, the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the curve y=cosx Homework Equations The Attempt at a Solution
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    What is the derivative of f(x) = 2cos3x + 3sin2x on the interval (-pie, pie)?

    Homework Statement find the maxima and minima of the function f(x)=2cos3x + 3sin2x on the interval (-pie, pie) Homework Equations The Attempt at a Solution
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    Finding intervals of increasing, decreasing, concavity and inflection points

    Homework Statement let g(x)=2x^5-10x^3=15x-3. find the intervals on which G is increasing and decreasing. and find the intervals of concavity and the inflection points Homework Equations The Attempt at a Solution i know how to find the increasing and decreasing intervals. i just...
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    Finding Inflection Points for y=(^3 +6x^2 +15x +19)e^-x

    Homework Statement find the inflection points of the curve y=(^3 +6x^2 +15x +19)e^-x correct to five decimal places Homework Equations The Attempt at a Solution i know how to find the inflection points. you graph the derivative and find where the concavity shifts. but the e^-x...
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    How can I find a cubic function with specific local maximum and minimum values?

    Homework Statement find a cubic function g(x)=ax^3 +bx^2+cx +d that has a local maximum value of 3 at -7 and a local minimum value 0f -9 at 12. Homework Equations The Attempt at a Solution I know the derivative should equal zero for a max or min to occure. So i got f...
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    Finding Roots in the Equation x^4+x^3-4x^2-1=0

    Homework Statement show that the equation x^4+x^3-4x^2-1=0 Homework Equations The Attempt at a Solution I wasn't sure where to start. The minus one at the end really threw me off. I tried to factor by grouping by coul;dn't figure out what to do with the -1