Recent content by YawningDog27

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    True or False- Functions and Continuity

    Here's a hint: consider the function ##g(x) = f(x) - x## for ##x \in [0,1]##. Is ##g## continuous, and what can you say about ##g(0)## and ##g(1)##? oops...sorry HS-Scientist for pretty much repeating your hint.
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    Need practice problems for calculus.

    Here's a page, it looks like they have practice problems and solutions. https://www.math.ucdavis.edu/~kouba/ProblemsList.html Happy studies!
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    System with homogeneous equation in denominator help

    First, shouldn't the ##12v^2## in your second equation be ##112v^2##? (Probably just a typo) Second, I suggest manipulating the first equation to get ##u = \frac{8v}{v+7}##(assuming that ##v \neq -7##, you should check that this cannot be true by substituting ##v = -7## into the system)...
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    What am I doing wrong in finding the derivative and max/min?

    Start off by using the chain rule (or quotient rule, whichever you prefer) to find the derivative of the function.
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    Separate Variables Differential Eq. of Cubic Power

    Luckily, this is a seperable equation, which means you can rewrite it as $$(1+y^2)dy = x^2dx.$$ Now, what can you do to get rid of those pesky differentials?
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