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Eva8 [605]
3 years ago
12

In the xy-plane, the point (4,4) lies on the graph of the function f(x)-2x2-bx + 12. What is the value of b?

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0
Simply substitute the point into the given equation; as there is one variable, you only need one point and so one is given. When done so, you shall get b=4

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Step-by-step explanation:

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Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by

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\:\:\:\:\:\:\:= \displaystyle \int_0^6 (-2x^2+6x+36)(2 \pi x)dx

\:\:\:\:\:\:\:= \displaystyle 2\pi \int_0^6 (-2x^3+6x^2+36x)dx

\:\:\:\:\:\:\:= \displaystyle 2\pi \left(-\frac{1}{2}x^4+2x^3+18x^2 \right)_0^6

\:\:\:\:\:\:\:= 864\pi

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3 years ago
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