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just olya [345]
3 years ago
9

Can u guys PLEASE answer this question ASAP. find the gradient and the y intercept of y=-2x and graph it

Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer:

Gradient = m = -2

Y-intercept = b = 0

Step-by-step explanation:

Compare the given equation with slope-intercept form of equation.

y = mx + b

y = -2x + 0

So، m = -2 and b = 0

Best Regards!

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Rather than carrying out IBP several times, let's establish a more general result. Let

I(n)=\displaystyle\int x^ne^x\,\mathrm dx

One round of IBP, setting

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\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx

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This is called a power-reduction formula. We could try solving for I(n) explicitly, but no need. n=5 is small enough to just expand I(5) as much as we need to.

I(5)=x^5e^x-5I(4)

I(5)=x^5e^x-5(x^4e^x-4I(3))=(x-5)x^4e^x+20I(3)

I(5)=(x-5)x^4e^x+20(x^3e^x-3I(2))=(x^2-5x+20)x^3e^x-60I(2)

I(5)=(x^2-5x+20)x^3e^x-60(x^2e^x-2I(1))=(x^3-5x^2+20x-60)x^2e^x+120I(1)

I(5)=(x^3-5x^2+20x-60)x^2e^x+120(xe^x-I(0))

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