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2 years ago

8

Some one pls help me

1 answer:

andriy [413]2 years ago

6 0

Answer:

Madam Gazelle

Step-by-step explanation:

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2 years ago

What is the derivative of cosx

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-sinx + C
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3 years ago

Given f(x)=-8x+5 And g(x)=10x+2what is g(x) - f(x)

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2 years ago

Find the solution of the given initial value problem in explicit form. y′=(1−5x)y2, y(0)=−12 Enclose numerators and denominators

Nata [24]

Answer:

The solution is $y=-\frac{12}{12x-30x^2+1}$ .

Step-by-step explanation:

A first order differential equation $y'=f(x,y)$ is called a separable equation if the function $f(x,y)$ can be factored into the product of two functions of $x$ and $y$ :

$f(x,y)=p(x)h(y)$

where $p(x)$ and $h(y)$ are continuous functions.

We have the following differential equation

$y'=(1-5x)y^2, \quad y(0)=-12$

In the given case $p(x)=1-5x$ and $h(y)=y^2$ .

We divide the equation by $h(y)$ and move $dx$ to the right side:

$\frac{1}{y^2}dy\:=(1-5x)dx$

Next, integrate both sides:

$\int \frac{1}{y^2}dy\:=\int(1-5x)dx\\\\-\frac{1}{y}=x-\frac{5x^2}{2}+C$

Now, we solve for $y$

$-\frac{1}{y}=x-\frac{5x^2}{2}+C\\-\frac{1}{y}\cdot \:2y=x\cdot \:2y-\frac{5x^2}{2}\cdot \:2y+C\cdot \:2y\\-2=2yx-5yx^2+2Cy\\y\left(2x-5x^2+2C\right)=-2\\\\y=-\frac{2}{2x-5x^2+2C}$

We use the initial condition $y(0)=-12$ to find the value of C.

$-12=-\frac{2}{2\left(0\right)-5\left(0\right)^2+2C}\\-12=-\frac{1}{c}\\c=\frac{1}{12}$

Therefore,

$y=-\frac{2}{2x-5x^2+2(\frac{1}{12})}\\y=-\frac{12}{12x-30x^2+1}$

4 0

2 years ago

In each of the following pairs of numbers, how much larger is the first number than the second?

lapo4ka [179]

Answer: a. 154 is larger than 27 by 127.

b. 25 is larger than 12 by 13.

c.135 is larger than 127 by 8.

d.46 is larger than 24 by 22.

Step-by-step explanation:

Subtract second number from the first number.

a. 154 and 27

Difference= $154-27=127$

Hence, 154 is larger than 27 by 127.

b. 25 and 12

Difference= $25-12=13$

Hence, 25 is larger than 12 by 13.

c. 135 and 127

Difference= $135-127=8$

Hence, 135 is larger than 127 by 8.

d. 46 and 24

Difference= $46-24=22$

Hence, 46 is larger than 24 by 22.

4 0

3 years ago

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