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Juliette [100K]
3 years ago
15

Please help quick! 2×(5^8/5^5)

Mathematics
2 answers:
beks73 [17]3 years ago
8 0

2×(5^8/5^5) = 2501 have a goo day

Setler79 [48]3 years ago
6 0

2×(5^8/5^5)

= 2×(5^(8-5))

= 2×(5^3)

= 2× 125

= 250

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(15 Points)
expeople1 [14]

ANSWER 1



Note that,


f(u)=tan^{-1}(u)


is the same as


f(u)=arctan(u)



We apply the product rule.


f(x)=x^2tan^{-1}(x)


So we keep the second function and differentiate the first,plus we keep the first function and differentiate the second.


f'(x)=(x^2)'tan^{-1}(x)+x^2(tan^{-1}(x))'



Recall that,

If

f(u)=tan^{-1}(u)



Then,

f'(u)=\frac{1}{1+u^2}} \times u'


This implies that,

f'(x)=2xtan^{-1}(x)+\frac{x^2}{x^2+1}



ANSWER 2


We apply the product rule and the chain rules of differentiation here.



f(x)=xsin^{-1}(1-x^2)




f'(x)=x'sin^{-1}(1-x^2)+x(sin^{-1}(1-x^2))'



Recall that,

If

f(u)=sin^{-1}(u)



Then,

f'(u)=\frac{1}{\sqrt{1-u^2}} \times u'



This implies that,


f'(x)=sin^{-1}(1-x^2)+x \times \frac{1}{\sqrt{1-(1-x^2)^2}}\times (-2x)


f'(x)=sin^{-1}(1-x^2)-\frac{2x^2}{\sqrt{1-(1-2x^2+x^4)}}


f'(x)=sin^{-1}(1-x^2)-\frac{2x^2}{\sqrt{1-1+2x^2-x^4}}



f'(x)=sin^{-1}(1-x^2)-\frac{2x^2}{\sqrt{2x^2-x^4}}





5 0
4 years ago
What is the domain of the function y=2./-5?<br> OX-5<br> O X22<br> XX5<br> O x 10
lisabon 2012 [21]

D : x\geqslant 5

Thus the third option is the correct answer.

4 0
3 years ago
What is the slope of the line that passes through the points (9, 1) and (17, 2)
zhenek [66]

Answer:    The slope is 1/8

Step-by-step explanation:

Full equation = ( y = 1/8x-1/8)

4 0
3 years ago
Read 2 more answers
The square below represents one whole express the shaded area as a fraction a decimal and a percent of the whole​
Pie

Answer:

1). \frac{81}{100}

2). 0.81

3). 81%

Step-by-step explanation:

There are total 10×10 = 100 squares in the picture and number of shaded squares = 100 - 19 = 81

Shaded area expressed as the fraction of the whole = \frac{81}{100}

Shaded area in decimals of the whole = \frac{81}{100}=0.81

Shaded area in percent of the whole = \frac{81}{100}(100) = 81%

4 0
4 years ago
Read 2 more answers
Will give star if answered correctly
RSB [31]

Answer:

A. must be proportional because the points lie in a straight line

3 0
3 years ago
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