2 years ago

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Mathematics

1 answer:

Aloiza [94]2 years ago

5 0

Answer:

7 -5i

Step-by-step explanation:

The additive inverse is the number we add to make it equal to zero

-7+5i + x = 0

the real part

-7 + x = 0

x = 7

The imaginary part

5i+x = 0

x = -5i

The complex x is

7 -5i

Notice it is the opposite of the number

- (-7+5i)

7-5i

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The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please

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Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

$S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx$

We let the substitution take place.

Therefore, we let $u = 1 + 4x^{2}$

Thus, $du = 8dx.$

So,

$xdx = \frac{1}{8}du$

Also, the interval of the integration changes to [ 37, 65]

Thus,

$S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx$

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