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Agata [3.3K]
3 years ago
9

I need help for this problem

Mathematics
1 answer:
romanna [79]3 years ago
6 0

Answer:

The slope is 1/2. Hope I helped!

Step-by-step explanation:

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Evaluate intergral 10xe exponent 10x dx​
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Answer:

for this type of question, integral by parts should be used . This involves using the formula for intregation by parts:

intudv=uv-intvdu.  

lets first break apart the x and e10x into two parts - "u" and "v"

where u = x.

however, we need to find the value of v. in order to do this, we can integrate dv/dx in order to get to v.  

the value of dv/dx is : e10x

 

u = x             dv/dx = e10x

 

as seen in the formula, you need to have a value for u, dv, v and du.  

therefore in order to get du you must differentiate u:

u = x    

du/dx = 1

du = 1dx = dx

du = dx

 

in order to get v you need to integrate dv/dx:

\displaystyle \inte10x dx = 1/10 x10x

now that we have both parts, we can put this back into the formula.  

 

intudv=uv-intvdu.  

 

\displaystyle \intxe10x = x * 1/10e10x  - \displaystyle \int1/10e10x dx

Step-by-step explanation:

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Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Us
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Dmitri wants to cover the top and sides of the box shown with glass tiles that are 5mm square. How many tiles does he need? ( Th
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Answer:

372

Step-by-step explanation:

We are given that the dimensions of the box are,

Length = 15 cm, Width = 20 cm and Height = 9 cm.

We know that the box represents a cuboid.

Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H

Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9

i.e. Surface area = 300 + 270 + 360

i.e. Surface area = 930.

Thus, the surface area of the box is 930 cm² i.e. 9300 mm².

Further, the sides of the tiles are 5 mm and the tile represents a square.

So, the surface area of the tile = 5 × 5 = 25 mm².

This gives us that,

Number of tiles required to cover the box = \frac{9300}{25} = 372.

Hence, Dmitri requires 372 tiles to cover the box.

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You are making alot of money but you can't pay off all of this and still have money left over

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