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3 years ago

How to find the domain of a v-shaped graph?

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

Answer:

the domain of a v-shaped graph is set of all real numbers

Step-by-step explanation:

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What curve passes through the point (1 ,2) and has an arc length on the interval [2,6] given by Integral from 2 to 6 StartRo

Georgia [21]

Answer:

Step-by-step explanation:

Given

Length of curve

$L=\int_{2}^{6}\sqrt{1+64x^{-6}}dx$

Length of curve is given by

$L=\int_{a}^{b}\sqrt{1+\left ( \frac{\mathrm{d} y}{\mathrm{d} x}\right )^2}dx$ over interval a to b

comparing two we get

$\frac{\mathrm{d} y}{\mathrm{d} x}=8x^{-3}$

$dy=8x^{-3}dx$

integrating

$\int dy=\int 8x^{-3}dx$

$y=-4x^{-2}+C$

Curve Passes through (1,2)

$1=-4+C$

$C=5$

curve is

$y+\frac{4}{x^2}=5$

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2 years ago

If a common logarithm is written without a base, what base should be used in evaluating it?

Rzqust [24]

If there isn't a base, the base is 10 :)

7 0

3 years ago

Read 2 more answers

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base 6.4 i

shusha [124]

The surface area of the square pyramid will be 78.08 square inches.

<h3>What is surface area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

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Given that:-

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.

The surface area of the square pyramid will be calculated by the formula:-

$SA = P\times\dfrac{l}{2}$

$SA = 25.6\times \dfrac{6.1}{2}$

SA = 78.08 square inches

Therefore the surface area of the square pyramid will be 78.08 square inches.

To know more about a surface area follow

brainly.com/question/23773586

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2 years ago

What is 27 percent of 190 bushels?

Neko [114]

Multiply 190 by 0.27 and you should get your answer

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2 years ago

A stockbroker has money in three accounts. The interest rates on the three accounts are 10 % 10%, 11 % 11%, and 12 % 12%. If she

leva [86]

Answer: he invested $200 at 10%, $400 at 11% and $600 at 12%

Step-by-step explanation:

Let x represent the amount invested in the account earning 10% interest.

Let y represent the amount invested in the account earning 11% interest.

Let z represent the amount invested in the account earning 12% interest.

If she has twice as much money invested at 11 % as she does in 10 %, it means that

y = 2x

If she has three times as much at

12 % as she has at 10 %, it means that

z = 3x

The interest from the first account is

x × 0.1 × 1 = 0.1x

The interest from the second account is

y × 0.11 × 1 = 0.11y

The interest from the third account is

z × 0.12 × 1 = 0.12z

If the total interest for the year is $136, it means that

0.1x + 0.11y + 0.12z = 136 - - - - - - - - 1

Substituting y = 2x and z = 3x into equation 1, it becomes

0.1x + 0.11(2x) + 0.12(3x) = 136

0.1x + 0.22x + 0.36x = 136

0.68x = 136

x = 136/0.68 = 200

y = 2x = 2 × 200

y = $400

z = 3x = 3 × 200

z = $600

4 0

3 years ago