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  1. Symphonicity

    find tangent line to curve and passing through point

    hi guys, I thought I knew how to solve these sorts of problems but i keep getting the wrong answer. Please help me see where I'm going wrong. So, the question asks me to find the equation of any tangent lines to the curve x^4-12x+50 that pass through the point (0,2). I start by finding the...
  2. Symphonicity

    Argument of a function - what?

    Ah perfect, thank you. I'm happy now. So why call the line a tangent if it intersects the curve in two places? Wouldn't that make it a secant?
  3. Symphonicity

    Argument of a function - what?

    i eventually got it. thanks. Can I ask a supplementary question from the same set - "find the point(s) on the curve y=x^2 at which the tangent line is passing through the point (2, -12)" So since (2,-12) is not on the curve, I guess this is asking me to work out where the tangent line comes...
  4. Symphonicity

    Argument of a function - what?

    Hello, I'm looking at Mendelson's "Beginning Calculus" and having real trouble making sense of this question. "For each function f and argument x = a below, find the slope-intercept equation of the tangent line corresponding to the given argument a." The function is : f(x) = 2x^2 + x...
  5. Symphonicity

    Solving range algebraically

    Let's say you have a function in which you have a linear function divided by a parabola. How do you find the range of this? Also, how do you find the range when you have something such as a parabola divided by a parabola? Thanks for your help.
  6. Symphonicity

    UPC Maths and Science. Advice please.

    Thank you - I had come across the khan academy when trying to get help with maths problems. I'll look into it further. :)
  7. Symphonicity

    UPC Maths and Science. Advice please.

    G'day. I want to study a BSc next year, and this year I am doing the UPC in Maths and Science. These start in a few weeks and since I did poorly in the HSC and did no senior level science, I have been studying year 10 level textbooks to try and get a head start for this year. I am...
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