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4 years ago

How many solutions will there be to the following equation?

Mathematics

1 answer:

Effectus [21]4 years ago

6 0

Answer:I wanna lose my virginity can you give me the answer to doing that?

Step-by-step explanation:

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What is the value of x in the figure below? to 118° A. 28 B. 62 C. 90 D. 118

My name is Ann [436]

Answer:

D. 118°

Step-by-step explanation:

x = 118° { being corresponding angles }

5 0

3 years ago

Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,

sweet [91]

Answer:

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

$C = -1$

The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

$C = 0$

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

5 0

4 years ago

Mr.Hawkins is covering a wall with wallpaper. The rectangular wall measure 14 feet by 12 feet. each square foot of wallpaper cos

yan [13]

Answer:

$57.93

Step-by-step explanation:

14 x 12 = 168

168/2.9

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2 years ago

Sylvia has just discovered that the valve on her cement truck failed during the night and that all the contents ran out to form

lilavasa [31]

The volume would be exactly 256.76

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4 years ago

lavan buys a house with a down payment of 12,000. The down payment is 10% of the price of the house house. How much will her mor

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Her mortgage will be 1,200.

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3 years ago