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3 years ago

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A snail climbs to the top of a coconut tree 18 meters high. In an hour it will climb 2 meters. But if it go 2 meters, it will sl

ips down one meter. Then how long does it take for the snaik to reach the top of the coconut?

1 answer:

kumpel [21]3 years ago

5 0

Answer:

The snail will reach the top of the coconut in 18 hours.

Step-by-step explanation:

If the snail will climb 2 meters in 1 hour but it will slip down one meter for every 2 meters climbed, then the distance traveled will be:

$d = 2 m - 1 m = 1 m$

Since in 1 hour, it climbs 2 meters minus 1 meter, the time in which the snail will reach the top is:

$t = \frac{1 h}{1 m}*18 m = 18 h$

Therefore, the snail will reach the top of the coconut in 18 hours.

I hope it helps you!

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Solve the following differential equation: y" + y' = 8x^2

PtichkaEL [24]

Answer:

$y=y_p+y_h = \frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$

Step-by-step explanation:

Let's find a particular solution. We need a function of the form $y= ax^3+bx^2+cx+d$ such that

$y'= 3ax^2+2bx+c$ and

$y''= 6ax+2b$

$y'+y''= 3ax^2+2bx+c+6ax+2b = 3ax^2+x(2b+6a)+(c+2b) = 8x^2$

then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain

a = 8/3 and replacing in the second equation 2b+6(8/3) = 2b + 16 = 0. Then, b = -8. Finally, c = -2(-8) = 16.

So, our particular solution is $y_p= \frac{8}{3}x^3-8x^2+16x$ .

Now, let's find the solution $y_p$ of the homogeneus equation $y''+y'=0$ with the method of constants coefficients. Let $y=e^{\lambda x}$

$y'=\lambda e^{\lambda x}$

$y''=\lambda^2e^{\lambda x}$

then $\lambda e^{\lambda x}+\lambda^2 e^{\lambda x} = 0$

$e^{\lambda x}(\lambda +\lambda^2)= 0$

$(\lambda +\lambda^2)= 0$

$\lambda (1+\lambda)= 0$

$\lambda =0$ and $\lambda)= -1$ .

So, $y_h = C_1 + C_2e^{-x}$ and the solution is

$y=y_p+y_h =\frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$ .

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3 years ago

Solve using the lcd:<br> 1/x = 1/5 + 5/4x

Black_prince [1.1K]

The value is x= -5/4

<h3>What is LCD?</h3>

The least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.

Given:

1/x = 1/5+ 5/4x

1/x = 4x + 25 / 20x

20= 4x +25

4x= -5

x= -5/4

Learn more about this concept here:

brainly.com/question/2605216

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2 years ago

How many pairs of parallel sides does the trapezoid below have

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3 years ago

A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent o

Gnom [1K]

Answer:

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Step-by-step explanation:

The total sales were $9800.

The amount donated is $588.

We want to know what percent of 9800 is 588.

Let's make an equation.

what percent of 9800 is 588

x/100 • 9800 = 588

Divide by 9800.

x/100 = 0.06

Multiply by 100.

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