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Math Help - Should I be worried if I'm having a hard time with this first assignment?

  1. #1
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    Should I be worried if I'm having a hard time with this first assignment?

    Hi. I'm taking calculous 1 this semester. I haven't taken a math class in 8 years, and the last class I took was trig. I studied pretty hard and placed in calculous through the assessment test. The administrator said, she had never seen anyone score as high as I did on the placement test. But, this first assignment, which is a review of algebra and trig, seams considerably harder than the placement test, and I am struggling on many of the problems.

    If someone could look at the review sheet, and give an opinion on wether or not a person struggling with this assignment should take calculous 1, or if maybe these problems are intentionally on the difficult side to force us to do a serious review.

    Thanks.
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    Senior Member abhishekkgp's Avatar
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    Re: Should I be worried if I'm having a hard time with this first assignment?

    Quote Originally Posted by StudentMCCS View Post
    Hi. I'm taking calculous 1 this semester. I haven't taken a math class in 8 years, and the last class I took was trig. I studied pretty hard and placed in calculous through the assessment test. The administrator said, she had never seen anyone score as high as I did on the placement test. But, this first assignment, which is a review of algebra and trig, seams considerably harder than the placement test, and I am struggling on many of the problems.

    If someone could look at the review sheet, and give an opinion on wether or not a person struggling with this assignment should take calculous 1, or if maybe these problems are intentionally on the difficult side to force us to do a serious review.

    Thanks.
    It seemed pretty easy to me. Which questions exactly bother you?
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    Re: Should I be worried if I'm having a hard time with this first assignment?

    Quote Originally Posted by abhishekkgp View Post
    It seemed pretty easy to me. Which questions exactly bother you?
    Question number 4 is bothering me a little. Looking at my list of identities, and thinking about an approach, I'm not seeing the light yet. Probably something simple I fail to recognize.
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    Senior Member abhishekkgp's Avatar
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    Re: Should I be worried if I'm having a hard time with this first assignment?

    Quote Originally Posted by StudentMCCS View Post
    Question number 4 is bothering me a little. Looking at my list of identities, and thinking about an approach, I'm not seeing the light yet. Probably something simple I fail to recognize.
    i don't know what is meant by "rational expression" so i can't help. But if this is the question which you couldn't do then why are you worried?
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    Re: Should I be worried if I'm having a hard time with this first assignment?

    Quote Originally Posted by abhishekkgp View Post
    i don't know what is meant by "rational expression" so i can't help. But if this is the question which you couldn't do then why are you worried?
    I'm also having trouble with number 6.

    (((A+rA-x)r-x)r-x)r-x=o

    solve for x.

    Simplified

    (AR^3)-(2AXR^2)+(ARX^2)+(AR^4)-(AXR^3)+AX^2(R^2)-(XR^3)+(2X^2)(R^2)-(XR^3)-x=0

    Obviously this is leading me nowhere.

    maybe start by saying (((A+RA+X)R-x)R-X)R=x
    Last edited by StudentMCCS; August 23rd 2011 at 07:18 AM. Reason: typos
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    Senior Member abhishekkgp's Avatar
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    Re: Should I be worried if I'm having a hard time with this first assignment?

    Quote Originally Posted by StudentMCCS View Post
    I'm also having trouble with number 6.

    (((A+rA-x)r-x)r-x)r-x=o

    solve for x.

    Simplified

    (AR^3)-(2AXR^2)+(ARX^2)+(AR^4)-(AXR^3)+AX^2(R^2)-(XR^3)+(2X^2)(R^2)-(XR^3)-x=0

    Obviously this is leading me nowhere.

    maybe start by saying (((A+RA+X)R-x)R-X)R=x
    (((A+rA-x)r-x)r-x)r-x=0 \Rightarrow (((A(r+1)-x)r-x)r-x)r-x=0 \Rightarrow ((Ar(r+1)-rx-x)r-x)r-x=0 \Rightarrow ((Ar(r+1)-x(r+1))r-x)r-x=0 \Rightarrow (((Ar-x)(r+1))r-x)r-x=0 \Rightarrow r^2 (Ar-x)(r+1)-xr-x=0 \Rightarrow r^2 (Ar-x)(r+1)-(r+1)x \Rightarrow (r+1)[r^2 (Ar-x)-x]=0
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  7. #7
    MHF Contributor Siron's Avatar
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    Re: Should I be worried if I'm having a hard time with this first assignment?

    For exercice 4 I just think a rational expression is an expression of the form  \frac{P}{Q} so which have a numerator and a denominator. In this case you can just use some well known trig formulas:
    \sec(x)\cdot \tan(x)-\sqrt{2}\sec^2(x)=\sec(x)\cdot[\tan(x)-\sqrt{2}\sec(x)]
    =\frac{1}{\cos(x)}\cdot \left[\frac{\sin(x)}{\cos(x)}-\frac{\sqrt{2}}{\cos(x)}\right]=\frac{\sin(x)-\sqrt{2}}{\cos^2(x)}

    Which is in my opinion a rational expression.
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