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Thread: Two short Questions

  1. #1
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    Two short Questions

    -Question 1
    State the number of cycles in every 360 degrees for the function y=sin3x

    -Question 2
    Write out explicitly what is meant by $\displaystyle \sum$, above the sum is x=5, to the right of sum is $\displaystyle x^5$ and below is x=1. I had no clue how to do this on LaTex.

    I have similar questions to these for an assignment so if you could post the answers so I could do the others, that would be great.
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  2. #2
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    Hello derek445

    Welcome to Math Help Forum!
    Quote Originally Posted by derek445 View Post
    -Question 1
    State the number of cycles in every 360 degrees for the function y=sin3x

    -Question 2
    Write out explicitly what is meant by $\displaystyle \sum$, above the sum is x=5, to the right of sum is $\displaystyle x^5$ and below is x=1. I had no clue how to do this on LaTex.

    I have similar questions to these for an assignment so if you could post the answers so I could do the others, that would be great.
    Question 1:

    $\displaystyle \sin x$ has one complete cycle every $\displaystyle 360^o$. As $\displaystyle x$ goes from $\displaystyle 0^o$ to $\displaystyle 360^o, \;3x$ goes from $\displaystyle 0^o$ to $\displaystyle 3\times360^o$, and so $\displaystyle \sin 3x$ will have $\displaystyle 3$ complete cycles.

    *******************

    Question 2:

    To find the meaning of $\displaystyle \sum_{x=1}^{x=5}x^5$, you give $\displaystyle x$ the values (one at a time) $\displaystyle 1, 2, 3, 4, 5$ in the expression after the $\displaystyle \sum$ sign, and add the results together. ($\displaystyle \sum$ is the Greek letter corresponding to 'S', standing for the word 'sum'.)

    So:
    $\displaystyle \sum_{x=1}^{x=5}x^5=1^5+2^5+3^5+4^5+5^5$
    Grandad

    PS In future, please post your questions one at a time - then it's easier to get them in the appropriate forum.
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  3. #3
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    Thank you.
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