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3 years ago

If f(x)=1-x, which value is equivalent to [f(i)] ?

2 answers:

6 0

We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ). Answer: C. sqrt( 2 )

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Katena32 [7]3 years ago

5 0

Answer: square root of 2

Step-by-step explanation:

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Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis

guapka [62]

Answer: V = $\frac{64}{3}\pi$

Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:

V = $\pi. y^{2}.$ Δx

Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:

V = $\int\limits^a_b {\pi. y^{2} } \, dx$

Then, for the region generated by y = - x + 4:

V = $\int\limits^4_0 {\pi.(-x+4)^{2} } \, dx$

V = $\pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx$

V = $\pi.(\frac{x^{3}}{3}-4x^{2}+16x )$

V = $\pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )$

V = $\frac{64}{3}.\pi$

The volume of the revolved region is V = $\frac{64}{3}.\pi$

8 0

3 years ago

A graph is shown below: A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9

Travka [436]

(0, 36) would be the point on the y axis, so 36 is the y-intercept, or the b value in the equation, y = mx + b.
(12,0) is the x-intercept, so we know the line has a negative slope.
The equation for these points would be:
y = -3x + 36
LETTER B

7 0

3 years ago

URGENT: I need these problems answered and steps :/ Will give the first person BRAINLIEST and please show the steps and please p

hjlf

Answer:

1) -15/32

2) 2/15

3) -203.5

4) -3/2 = -1.5

5) 10/3 = 3 1/3

Step-by-step explanation:

For 1, you just multiply the numerators and denominators together (3 by 5, 4 by 8) and then because it is negative, add the negative sign.

For 2, you multiply again, but because there are 2 negative signs, it becomes positive.

For 3, you divide 81.4 by 0.4, you could also divide 814 by 4.

For 4, you keep change flip, so the equation would become -9/4 (-2 1/4=-9/4) and 3/2 would become 2/3. The equation would be (-9/4 * 2/3). Then, you would get -18/12 which is -3/2.

For 5, you just multiply 4/3 by 5/2 which is 20/6 and because 2 negatives, it becomes positive.

3 0

3 years ago

Read 2 more answers

Ryan and Kaine are two partners in a business. Ryan makes $3 in profits for every $4 Kaine makes. If Kaine makes $60 profit on t

Kruka [31]

Answer is $45

Step-by-step explanation: because 60/4 = 15 and 15 x 3 = 45, Ryan makes $45
Hope this helped

6 0

3 years ago

I NEED HELP ASAP PLS WILL MARK BRINLIEST!!!

d1i1m1o1n [39]

Step-by-step explanation: