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nlexa [21]
3 years ago
7

PLEASE HELP ASAP FOR 10 POINTS

Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0
The easiest way to do this is to distribute one term to the second set of parentheses and add eveything. Start with x2 and distribute to get x^4 + x^3 + 2x^2. Then the 3x distributed gets you 3x^3 + 3x^2 +6x. Finally the 1 distributed gets you x^2 + x + 2. You add all three answers together to get x^4 + 4x^3 + 6x^2 + 7x + 2
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I'm not sure where to start and how to differentiate this.
Mazyrski [523]
The picture is not clear. let me assume y = (x^4)ln(x^3)

product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)

dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)

look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)

end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]

5 0
3 years ago
What fraction is 1 yard 2 feet and 6 inches
MA_775_DIABLO [31]

Answer:

Make sure you convert these numbers into one unit. Convert everything to yard. Just convert the feet and inches in yard since it's the biggest unit, and then add them together. You should get a fraction not a whole number.

3 0
3 years ago
Read 2 more answers
A plant grows 3 centimeters in 10 days. How much does it grow per day? How can I answer my question as a fraction in simplest fo
KiRa [710]
It grows .3 cm per day
7 0
3 years ago
Hello pls help meeee
AnnyKZ [126]

The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).

Given that,

The function is (-x+3)/ (3x-2)

We have to find f(1) and f'(x).

Take the function expression

f(x)= (-x+3)/ (3x-2)

Taking x as 1 value

f(1)= (-1+3)/(3(1)-2)

f(1)=2/1

f(1)=1

Now, to get f'(x)

With regard to x, we must differentiate.

f(x) is in u/v

We know

u/v=(vu'-uv')/ v²        (formula)

f'(x)= ((3x-2)(-1)- (-x+3)(3))/ (3x-2)²

f'(x)= ((-3x+2)-(-3x+9))/ 9x²- 12x+4

f'(x)=(-3x+2+3x-9)/ 9x²- 12x+4

f'(x)=2-9/ (9x²- 12x+4)

f'(x)=-7/ (9x²- 12x+4)

Therefore, The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).

To learn more about function visit: brainly.com/question/14002287

#SPJ1

6 0
1 year ago
you are building a rectangular wading pool you want the area of the bottom to be 90 ft squared you want the length of the pool t
Sindrei [870]
L=2W+3, A=LW, using L from the first in the second gives you:

A=(2W+3)W

A=2W^2+3W, and we are told A=90 so

2W^2+3W=90

2W^2+3W-90=0

2W^2-12W+15W-90=0

2W(W-6)+15(W-6)=0

(2W+15)(W-6)=0, since W>0 for all real possibilities, 

W=6ft, and since L=2W+3

L=15ft

So the pool will be 6 ft wide by 15 ft long.
5 0
3 years ago
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