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LenaWriter [7]
4 years ago
8

HELPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
goblinko [34]4 years ago
3 0
Rate of change is slope
So change in y/change in x
150/3=50
You might be interested in
What is the slope for y=7/2x - 2?
barxatty [35]
Easy peasy
slope intercept form is y=mx+b where m=slope

we see taht we have y=7/2x-2
therefor m=slope=7/2
the slope is 7/2
3 0
3 years ago
A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The d
Svet_ta [14]

Answer:

188π in^2

Step-by-step explanation:

Surface area of the rocket = surface area of the cone + surface area of the cylinder

Surface area of a cone = πr(r+h^2+r^2)

r = 8/2 = 4 in

4π( 4 + 3^2 + 4^2) =

4π ( 4 + 9 + 16) = 116π in^2

Surface area of a cylinder = 2πrh+2πr^2

(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2

116 + 72 = 188π in^2

4 0
2 years ago
Find integra of xlnxdx
Mademuasel [1]

Answer:

\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}

Increase the power by 1, then divide by the new power.

Given <u>indefinite integral</u>:

\displaystyle \int x \ln x \:\: \text{d}x

To integrate the given integral, use Integration by Parts:

\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}

\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}

\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2

Therefore:

\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}

Learn more about integration here:

brainly.com/question/27805589

brainly.com/question/27983581

brainly.com/question/27759474

5 0
2 years ago
Find the slope of the line.
andrey2020 [161]

Answer:

-1

Step-by-step explanation:

To find the slope of a line, we can do rise over run, or y/x.

r/r = 1/1 = 1

But as you can see, the line is going down which means it's decreasing, which means that it has a negative slope

slope = -1

Hope this helped a little!

Have a supercalifragilisticexpialidocious day!

5 0
3 years ago
Mike traveled to Greensboro by car. Going there took 6 hours, and the return trip was four hours. Mike averaged a speed of 81 mi
Marat540 [252]

Answer: 64.8 mph

Step-by-step explanation:

Given

Arriving time is 6 hours

return time is 4 hours

The average speed of returning 81 mph

Distance traveled while returning

\Rightarrow d=81\times 4=324\ miles

the average speed of the entire trip is

\Rightarrow v_{avg}=\dfrac{2\times 324}{6+4}=\dfrac{648}{10}=64.8\ mph

4 0
3 years ago
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