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3 years ago

Evaluate the summation of negative 5 n minus 1, from n equals 3 to 12..

2 answers:

6 0

The correct answer for the question that is being presented above is this one: "B. -385." Evaluate the summation of negative 5 n minus 1, from n equals 3 to 12 equals B. -385

-5n - 1 where n = 3 to 12.
n = 3 = -16
n = 4 = -21
n = 5 = -26
n = 6 = -31
n = 7 = -36
n = 8 = -41
n = 9 = -46
n = 10 = -51
n =11 = -56
n = 12 = -61

Total = B. -385

sammy [17]3 years ago

4 0

Answer:

B.) -385

Step-by-step explanation:

I just took the test

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Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

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$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

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You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

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