Recent content by NoLimits

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    Why Does Completing the Square Yield Complex Numbers in This Equation?

    Yes I have read it, which is why I responded with what I did, though I did not completely understand what was meant by it. The question wants me to sketch it, so if the equation has no real roots and doesn't cross the x-axis, how is that possible? Just plug in x-values to the original equation?
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    Why Does Completing the Square Yield Complex Numbers in This Equation?

    So assuming I do not need the square roots, then the vertex must be (3, -5) and the y-intercept must be 9? Given the equations I have, it seems like they are the only possible values. However, when using a function graphing tool the y-intercept doesn't appear to be 9, nor does the vertex look...
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    Why Does Completing the Square Yield Complex Numbers in This Equation?

    I'm not sure the relevance (if any) of finding the roots. I saw it done in a video, and since the question wants a sketch of the graph, I assumed that I would be needing two values (x and y) for the vertex, hence the need for two roots. Sorry about the screw-up on the equation - I usually do a...
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    Why Does Completing the Square Yield Complex Numbers in This Equation?

    Oops. I messed up there, however the end result of the equation (-4) is still the same. The line should've read: 1 + 2h + h^2 - 6 - 6h + 14
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    Why Does Completing the Square Yield Complex Numbers in This Equation?

    Hi, I am having trouble with completing the square in this question. I've looked at several online videos and I am still confused as to why I am not getting an answer that makes sense. I keep ending up with complex numbers and I am not sure what the next step to take is. Homework...
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    Therefore, at point (2, 17), the slope of the tangent is 18.

    Hello, For this question I managed to find an answer but I am not sure if what the question means is to plug in the x-value and find the slope, or first find the derivative of the function, and THEN solve for the slope using f'(x)=10x+5h-2 (what I got for the derivative of the function). If...
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    Limit of Sequence: "2, $\frac{3}{2}, \frac{4}{3}, \frac{5}{4}$

    Hello again, I am having trouble with a particular limit problem and would appreciate any help/pointers you can offer. The question is asking for the nth term of the sequence 2, \frac{3}{2}, \frac{4}{3}, \frac{5}{4} .. and also asks for a limit of the sequence. My immediate guess was to apply...
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    Evaluating Limits: Understanding the Solution to a Challenging Calculus Problem

    Thanks, I was driving myself crazy trying to figure out what I did wrong.
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    Evaluating Limits: Understanding the Solution to a Challenging Calculus Problem

    Hello, I am struggling with limits in my calculus course and would appreciate a bit of help. The question is: \lim_{x→-6}\frac{x^2-8x+12}{x^2-x+30} So far I have tried the factoring and substitution methods but have not managed to match the answers given by online equation solvers. For...
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