Recent content by SciSteve

  1. S

    Law of cosines being an immediate consequence of

    still can't come up with anything, it doesn't make sense since the identity is the same thing on both sides how can you transform it to the law of cosines? The question states to show how it's an immediate consequence so I would think its something fairly quick and not too exhaustive of a...
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    Law of cosines being an immediate consequence of

    yes i know when you multiply two vectors you get a scalar product, that comes into play with the cosine part?
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    Law of cosines being an immediate consequence of

    I have a problem with this question where I need to show the law of cosines (c^2=a^2+b^2-2ab*cos(angle) is an immediate consequence of the identity: (a+b)^2=a^2+b^2+2ab. I've played around with it for awhile and come somewhat close but can't get quite all the way there. It's basically all an...
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    Converge or diverge? (partial frac. long division)

    are you sure you don't take the integral or derivative? because if not there must be a trick to this one i find that the lim as n->inf. goes to 0 when plugging into the original given equation, but that isn't the right answer, any ideas?
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    Converge or diverge? (partial frac. long division)

    the only thing is it says if it converges find the limit and i know it doesn't diverge so I need to find out the value do i still take the integral of it or what?
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    Converge or diverge? (partial frac. long division)

    Determine whether the sequence converges or diverges. If it converges, find the limit. An=7+4n^2/n+2n^2 I know you have to compare it to the integral of the same equation, so I do this and the only means of integration I believe to be is by partial fractions, since degree of top equals degree...
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    Discovering the Formula for a Repeating Sequence

    figured it out thanks for the tip
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    Discovering the Formula for a Repeating Sequence

    I have to find a formula for the general term of An for this sequence assuming that the pattern follows and continues. (13,3,13,3...) I don't think there's any straightforward formulas to use for sequences and series' in finding a formula. My attempt involved finding two numbers that add to...
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    So the area enclosed by the curves is approximately 0.9489 square units.

    I have graphed the functions and the only time they cross seems to be at x=2 they have the same y value but then after that they don't cross again which makes me think where the x=5 comes into play
  10. S

    Area of a triangle w/calculus?

    consider a triangle with the given vertices. (0,0), (5,2), (-1,6) Use calculus to find the area of the triangle. Not quite sure how to do this..
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    So the area enclosed by the curves is approximately 0.9489 square units.

    I don't know I can't seem to get the answer there's something I am doing wrong i use the equations to find the bounds of integration which i think are x=2 to x=5 if not x=2 then x=0 I've tried with all 3 numbers though, anyway I then integrate the 2 equations y=3/x and y=6/x^2 (six over x...
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    So the area enclosed by the curves is approximately 0.9489 square units.

    Find the area of the region enclosed by the curves, and decide whether to integrate with respect to x or y. y=3/x, y=6/x^2, x=5 anyone able to explain how to approach a problem like this I've tried it a few times and get the wrong answers but i don't even know what kind of answer I am...
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    Integrals + Trig: Solve sin(2x)/23+cos(x)^2 dx

    it is the C one u posted IDK how to make it clearer writing all these functions n stuff out with a keyboard
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    Integrals + Trig: Solve sin(2x)/23+cos(x)^2 dx

    no i don't believe so, its an integral problems that i jus don't understand thought this would be the best place to put it.
  15. S

    Integrals + Trig: Solve sin(2x)/23+cos(x)^2 dx

    I was reviewing my first calc class stuff before starting this second one and came across a problem that i can't seem to get, its the integral of sin(2x)/23+cos(x)^2 dx, i know most of the rules and thought i had it but the question asks to put in all trig functions in terms of cos which I can't...
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