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Math Help - Multiple Choice Help, Derivatives.

  1. #1
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    Multiple Choice Help, Derivatives.

    The position of a particle moving on the x axis is given by x(t)=t^2-5sin(0.8t). for what value of t is the particle furthest left?

    a. -1.77
    b. -1.287
    c. 1.287
    d. 1.177
    e. 1.391


    I derived the function to get the velocity function and found that -1.77 is the correct answer.


    A function has a derivative given by f '(x)= sqrt(x)/x^2+x+1. What is the x cooridnate of the inflection point of f?

    a. -0.768
    b. 0
    c. 0.434
    d. 1
    e. no inflection point

    I graphed it on my graphing calculator and got 0.434.


    Can someone tell me if these answers are correct?
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  2. #2
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    Quote Originally Posted by Jon911 View Post
    The position of a particle moving on the x axis is given by x(t)=t^2-5sin(0.8t). for what value of t is the particle furthest left?

    a. -1.77
    b. -1.287
    c. 1.287
    d. 1.177
    e. 1.391


    I derived the function to get the velocity function and found that -1.77 is the correct answer.

    incorrect ... the particle is farthest to the left when x(t) is a minimum.


    A function has a derivative given by f '(x)= sqrt(x)/x^2+x+1. What is the x cooridnate of the inflection point of f?

    a. -0.768
    b. 0
    c. 0.434
    d. 1
    e. no inflection point

    I graphed it on my graphing calculator and got 0.434.

    correct
    ...
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  3. #3
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    How would you go about solving this?
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  4. #4
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    Quote Originally Posted by Jon911 View Post
    How would you go about solving this?
    look at the graph of x(t)
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