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aleksandr82 [10.1K]
3 years ago
7

Which graph represents a function that is decreasing at a nonconstant rate?

Mathematics
1 answer:
Tasya [4]3 years ago
3 0

Answer: C

since the line isn't straight, the slope/function is decreasing but not at a constant rate

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A=LWH
divide both sides by LW
A/(LW)=H
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2 years ago
1.
Basile [38]

Step-by-step explanation:

<h3>Let the literate and illiterate people of Rashkundu Village be 4x and x respectively then </h3><h3>4x + x = 6550</h3><h3>5x = 6550</h3><h3>x = 6550 / 5</h3><h3>x = 1310</h3><h3 /><h3>Therefore </h3><h3>no. of literate people = 4 * 1310 = 5240</h3><h3 /><h3>no. of illiterate people = 1310 </h3><h3 /><h3>Hope it will help :)</h3>
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3 years ago
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3 years ago
Find a particular solution to y" - y + y = 2 sin(3x)
leonid [27]

Answer with explanation:

The given differential equation is

y" -y'+y=2 sin 3x------(1)

Let, y'=z

y"=z'

\frac{dy}{dx}=z\\\\d y=zdx\\\\y=z x

Substituting the value of , y, y' and y" in equation (1)

z'-z+zx=2 sin 3 x

z'+z(x-1)=2 sin 3 x-----------(1)

This is a type of linear differential equation.

Integrating factor

     =e^{\int (x-1) dx}\\\\=e^{\frac{x^2}{2}-x}

Multiplying both sides of equation (1) by integrating factor and integrating we get

\rightarrow z\times e^{\frac{x^2}{2}-x}=\int 2 sin 3 x \times e^{\frac{x^2}{2}-x} dx=I

I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx -\int \frac{2\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx-\frac{2I}{3}\\\\\frac{5I}{3}=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{5}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{5} dx

8 0
2 years ago
What is the simplified value of the exponential expression 64 1/3?
notka56 [123]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

4

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

  • I am assuming that the fraction is supposed to be the exponent.  

⸻⸻⸻⸻

64^{\frac{1}{3}}\\--------\\\rightarrow \text{Recall the exponent rule: } a^{\frac{m}{n}}=(\sqrt[n]{a})^m\\\\\\\rightarrow \sqrt[3]{64}\\\\\rightarrow  \boxed{4}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

3 0
2 years ago
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