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nekit [7.7K]
2 years ago
5

The slope of this graph is?

Mathematics
2 answers:
AlexFokin [52]2 years ago
8 0
The equation of the graph is y=-0.4x + 1, therefore the slope is -0.4
AURORKA [14]2 years ago
3 0
The slope of the graph is -1/2 using the rise over run method it rises up one and too the left twice so it would he -1/2
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The graph shows the distance cars A and B travel.
My name is Ann [436]
That will be A bc B is much longer than A
7 0
3 years ago
Read 2 more answers
Set up, but do not evaluate, the integral that represents the length of the curve given by x = 1 + 3t^2, y = 4 + 2t^3 over the i
kherson [118]

L

=

∫

t

f

t

i

√

(

d

x

d

t

)

2

+

(

d

y

d

t

)

2

d

t

. Since  

x

and  

y

are perpendicular, it's not difficult to see why this computes the arclength.

It isn't very different from the arclength of a regular function:  

L

=

∫

b

a

√

1

+

(

d

y

d

x

)

2

d

x

. If you need the derivation of the parametric formula, please ask it as a separate question.

We find the 2 derivatives:

d

x

d

t

=

3

−

3

t

2

d

y

d

t

=

6

t

And we substitute these into the integral:

L

=

∫

√

3

0

√

(

3

−

3

t

2

)

2

+

(

6

t

)

2

d

t

And solve:

=

∫

√

3

0

√

9

−

18

t

2

+

9

t

4

+

36

t

2

d

t

=

∫

√

3

0

√

9

+

18

t

2

+

9

t

4

d

t

=

∫

√

3

0

√

(

3

+

3

t

2

)

2

d

t

=

∫

√

3

0

(

3

+

3

t

2

)

d

t

=

3

t

+

t

3

∣

∣

√

3

0

=

3

√

3

+

3

√

3

=6The arclength of a parametric curve can be found using the formula:  

L

=

∫

t

f

t

i

√

(

d

x

d

t

)

2

+

(

d

y

d

t

)

2

d

t

. Since  

x

and  

y

are perpendicular, it's not difficult to see why this computes the arclength.

It isn't very different from the arclength of a regular function:  

L

=

∫

b

a

√

1

+

(

d

y

d

x

)

2

d

x

. If you need the derivation of the parametric formula, please ask it as a separate question.

We find the 2 derivatives:

d

x

d

t

=

3

−

3

t

2

d

y

d

t

=

6

t

And we substitute these into the integral:

L

=

∫

√

3

0

√

(

3

−

3

t

2

)

2

+

(

6

t

)

2

d

t

And solve:

=

∫

√

3

0

√

9

−

18

t

2

+

9

t

4

+

36

t

2

d

t

=

∫

√

3

0

√

9

+

18

t

2

+

9

t

4

d

t

=

∫

√

3

0

√

(

3

+

3

t

2

)

2

d

t

=

∫

√

3

0

(

3

+

3

t

2

)

d

t

=

3

t

+

t

3

∣

∣

√

3

0

=

3

√

3

+

3

√

3

=

6

√

3

Be aware that arclength usually has a difficult function to integrate. Most integrable functions look like the above where a binomial is squared and adding the two terms will flip the sign of the binomial.    

Be aware that arclength usually has a difficult function to integrate. Most integrable functions look like the above where a binomial is squared and adding the two terms will flip the sign of the binomial.

8 0
3 years ago
What is the geometric mean of 28 and 14?
topjm [15]

Answer:

gm =14sqrt(2)

or approximately 19.8

Step-by-step explanation:

to find the geometric mean, multiply the numbers together and then take the square root

gm = sqrt(28*14)

gm = sqrt(392)

gm = sqrt(196*2)

gm =14sqrt(2)

gm = 19.799

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B2%20%3D%7D%20" id="TexFormula1" title=" {6}^{2 =} " alt=" {6}^{2 =} " align="a
sergejj [24]
6 x 6 which equals 36
7 0
3 years ago
Read 2 more answers
10x-3y+2y<br> Write the expression with fewer terms.
zlopas [31]

Answer:

10x-1y

hope this helps

have a good day :)

Step-by-step explanation:

3 0
3 years ago
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