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liraira [26]
3 years ago
13

I attached the math problem below and I hope u guys help me. Thxs to who's gonna answer!

Mathematics
1 answer:
vova2212 [387]3 years ago
8 0

Answer:

Numbers | least to greatest | opposites | opposites least to greatest

1/4, -1/2    | -1/2, 1/4                | -1/4, 1/2     | -1/4, 1/2

2, -10        | -10, 2                   | -2, 10         | -2, 10

0, 3 1/2     | 0, 3 1/2                | 0, -3 1/2    | -3 1/2, 0

-5, -5.6     | -5.6, -5                 | 5, 5.6       | 5, 5.6

24 1/2, 24 | 24, 24 1/2            | -24 1/2 -24 | -24 1/2 -24

-99.9, -100 | -100, -99.9         | 99.9, 100 | 99.9, 100

-0.05, -0.5  | -0.5, -0.05         | 0.5, 0.05 | 0.05, 0.5

-0.7, 0       | -0.7, 0                  | 0.7, 0       | 0, 0.7

100.02, 100.04 | 100.02, 100.04 | -100.02, -100.04 | -100.04, -100.02

Hope this helps you!!!!

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Step-by-step explanation:

On Monday maggie ran n miles.

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Hence, this is the required solution.

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What is the simplified form of 3√7 - 5√7? A. -2√7 B. 2√7 C. -√14 D. 15√7
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Answer:

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find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] abou
Neko [114]

Answer:

v =  \frac{32\pi}{3}

or

v=33.52

Step-by-step explanation:

Given

f(x) = 4x - x^2

g(x) = x^2

[a,b] = [0,2]

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx

Integrate

v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx

v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx

Substitute values for a, b, f(x) and g(x)

v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx

Evaluate the exponents

v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx

Simplify like terms

v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx

Factor out 8

v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx

Integrate

v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0

v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0

Substitute 2 and 0 for x, respectively

v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])

v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])

v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]

v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]

Take LCM

v = 8\pi [ \frac{16*4- 16 * 3}{12}]

v = 8\pi [ \frac{64- 48}{12}]

v = 8\pi * \frac{16}{12}

Simplify

v = 8\pi * \frac{4}{3}

v =  \frac{32\pi}{3}

or

v=\frac{32}{3} * \frac{22}{7}

v=\frac{32*22}{3*7}

v=\frac{704}{21}

v=33.52

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