Recent content by grace77

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    Finding area given definite integral

    Question : https://www.physicsforums.com/attachments/71328 My question is how did the 2a and 2b come from?? Equations: Area of trapezoid =(a+b/2)(h) Attempt: I know that the area of a trapezoid is (a+b/2)(h) However why is there now a 2a and 2b in its place? Could it be related to the 2s...
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    Definite Integral Explained: Negative & Positive Areas

    Can anyone explain this to me? What does if mean that the area may sometimes be negative but that the area must be positive??
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    Chain Rule Differentiation: Simplifying Trigonometric Expressions

    The question: This is the solution that was given by my teacher Attempt: I understand how the work is done until the 3-4 line. Where did the 1-cos2x disappear to in the 4th line? I know you can use the outside inside method but try as I might, I can't seem to understand how the final...
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    Finding the Area of a Similar Right Triangle

    The base and height would be double due to the ratio right? Therefore the area would be 1/2(2b x2h)
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    Finding the Area of a Similar Right Triangle

    For example: if it was given that two right triangles are similar triangles and that the hypotenuse of one is twice as long than the other how would you find the area of the triangle with the twice as long hypotenuse given the area of the other? Similar right triangles means they are the same...
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    How to differentiate 1/y without making a fundamental mistake?

    Ok I am not sure what equation to use in this though.
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    How to differentiate 1/y without making a fundamental mistake?

    Yes I think I put a negative 1/2 should be a positive
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    How to differentiate 1/y without making a fundamental mistake?

    Problem statement Find dy/dx Revelant equations None Attempt at a solution This is what I got to so far but now I'm stuck... Any hints?
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    Derivative of a Function: Understanding Slope and Continuity

    Maybe someone could elaborate on this for me? Thanks
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    Derivative of a Function: Understanding Slope and Continuity

    Never mind I think I understand it now. I think I was just confused by the previous picture leading up to the answer.
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    Derivative of a Function: Understanding Slope and Continuity

    Problem statement My question is for number 27. Revelant equation None Attempt at a solution I'm not sure where to start. This is my teachers answer. I understand how the slope is 1 for x greater than -1 and that it is -2 at x greater than -1 and that there is a point at (0,-1) but I...
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    How can I find the slope of a curve using the limit definition of a derivative?

    Is there a guide where I can find all of these notations?
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