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Reika [66]
3 years ago
15

Factor completely 2x^2+6x-80

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

x= -8 , x=5

Step-by-step explanation:

2x^2+6x-80=0

x^2+3x-40=0

look for 2 numbers that their:

sum = 3

product = -40

(x+8)(x-5)=0

thus

x= -8 , x=5 (ANS)

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Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t
Neporo4naja [7]

Answer:

V=61.66

Step-by-step explanation:

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V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx

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Before we have to compute the limits of the integral. We can do that by taking f=g, that is

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x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\

and by replacing in the integral we have

V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\

V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]  

and by evaluating in the limits we have

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Hope this helps

regards

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3 years ago
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