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    Applications of the Integral: Horizontal slicing

    I was reading the text and it said that you must subtract the larger x-value to the smaller x-value. I dont know how you would determine which x value is larger and which is smaller. Please help.
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    Sigma Notation: sum[i=1 to 6] [n cos(n pi)]

    I am currently stuck on this question. Please help. . . . . . . .6 . . .(Sigma Notation) n cos(n pi) . . . . . .i=1 Thanks!
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    Graphing an Equation.

    Hello. I really need help graphing this equation. I dont know where to start or how to takle this type of equation using calculas. Thanks. g(x)= (|x|+x)/2 * (3x+2) Thank you for your help.
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    Equation of Tangent line to y= x^2-2x+2

    Please help... Im trying to figure this out. Find the equation of the tangent line to y=x^2-2x+2 at the point (1,1). THanks for your helps... :P
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    [MOVED] How does this Cancel? (rational equation)

    (x-2)/x/(x-2)(x+2) = 1/x(x+2) Please someone help me by clarifying how the second step is produced. I worked through many options but I cant get to that second step. The way I see it is if a fraction is divided by a fraction then you would multiply the first fraction by the reciprocal of the...
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    Intermediate Value Theorem: show that the equation x - cosx

    Use the IVT to show that the equation x - cosx = 0 has a solution between x = 0 and x = pi/2. I really do not understand this theorem please some explain this to me.
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    Proving that a > b iff a^2 > b^2 for a, b > 0

    I am having problems with proving alot of the questions asked in the text book. I don't know what to do or how to start it. For example: a > b <=> a^2 > b^2 (Let a > 0 and b > 0) How would I prove that question? Gr.12 calculas did not really delve into the concept of proving mathematical...
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    Differentiate? x^2 = d/dx (x^2 - x)

    This question was on a multiple choice test and the answer I recieved was not the same as was on the list. I don't know any other way or direction to takle this question. x^2= d/dx (x^2 - x) I first differentiated the values in the brackets which yields 2x - 1. I then equated the equation to...