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11 Nov 2019
The oblique or slant asymptote to f (x ) = x3- 7x2 + 14x -7/x2 -2x + 2
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Jean Keeling
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26 Oct 2019
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Related questions
Using long division: you can calculate that f(x)2x3-14x2+7x-32/2x2+5= Qx+R(x)/2x2+5 The quotient Q(x) is The remainder is From this you can conclude that V =f(X) has an oblique (or slant) asymptote given by the line with equation y = because
If I find the derivative of these three functions below: gx) x3+7x2 +1 h(x) x3 +7x2 +17 I find that the derivatives are all the same. f '(x) = 3x2 + 14x gx) 3x2+14x h(x) 3x214x If I have to find the antiderivative of the functionx)-3x2+ 14x, how do I know which constant to use? (Choose only one answer.) Without more information, I don't know which one to use. That's why I use+ C The constant will become apparent as I find the antiderivative It doesn't really matter which one I use l take the average of the coefficients of the other terms and use that as the constant
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If I find the derivative of these three functions below: gx) x3+7x2 +1 h(x) x3 +7x2 +17 I find that the derivatives are all the same. f '(x) = 3x2 + 14x gx) 3x2+14x h(x) 3x214x If I have to find the antiderivative of the functionx)-3x2+ 14x, how do I know which constant to use? (Choose only one answer.) Without more information, I don't know which one to use. That's why I use+ C The constant will become apparent as I find the antiderivative It doesn't really matter which one I use l take the average of the coefficients of the other terms and use that as the constant
blackdog532
12. 710 points | Previous Answers SCalcET8 4.5AE.006. 1/5 Submissions Used My Notes Ask Your Teach x3 EXAMPLE 6 Sketch the graph ofæx) . (A) The domain is R = (-oo, oo) (B) The x and y-intercepts are both 0 (C) Since f-x) x), fis odd (D) Since x2 + 2 is never 0, there is no vertical asymptote. Since f(x) â â as x â oo and f(x) â-00 as and its graph is symmetric about the origin. Video Example 0, there is no horizontal asymptote. But long division gives x â So l need the nx) = x2 + 2 as x â ±00 1 2/x2 So the line y = is a slant asymptote 3x2(x2 + 2 )-yR 2x - x2(x2 + 6) (x2+ 2)2 (E) f(x)- (x2 + 2)2 Since fx) 0 for all x (except O), fis increasing on (-o, c) f(x) does not change sign at o, so there is no local maximum or (F) Although f'(0) =10- minimum ,
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