1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
____ [38]
3 years ago
9

What’s the equation of the a line that passes through the point ,0-1and(2,3)?

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

Answer:

Step-by-step explanation:

You might be interested in
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
Helpppppp!!’nnnnnnn.
Irina-Kira [14]
The answer is 29.25
7 0
3 years ago
Read 2 more answers
at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students
sveticcg [70]

Answer:

If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)

Step-by-step explanation:

1. Determine a single event with a single outcome.

2. Identify the total number of outcomes that can occur.

3. Divide the number of events by the number of possible outcomes.

8 0
3 years ago
Read 2 more answers
8minus 2n +3p has how many terms
Sunny_sXe [5.5K]

Answer:

It has two terms.

Step-by-step explanation:

4 0
2 years ago
Five people can finish painting a wall in 5 hours.if only 2 people are available,how many hours do they have to work to finish t
lisov135 [29]
The answer is 12.5 hours
5 0
2 years ago
Other questions:
  • Last week a store sold laptops worth a total of $10885 each laptop cost $1555 how many laptops did the store sell last week?
    13·2 answers
  • A solid figure is
    7·1 answer
  • A car is driving at a rate of 61 miles per hour.
    8·2 answers
  • 8 (c-9)=6 (2c-12)-4c
    9·1 answer
  • The acute angles of a right triangle are congruent. What are the three angle measures of the triangle?
    10·1 answer
  • Howard has a scale model of statue of liberty. The model is 15 inches tall the clay of the model to the actual statue is 1 inch
    12·1 answer
  • 100 students take a course pass/fail. If they pass they get 4 points towards their GPA, if they fail they get 0. If 90 students
    11·1 answer
  • The object of a general chemistry experiment is to determine the amount (in milliliters) of sodium hydroxide (NaOH) solution nee
    9·1 answer
  • HELP ME RN PLEASE <br> Which of the following expressions is equivalent to the expression below?
    6·1 answer
  • Explain or show that the point (5,-4) is a solution to this system of equations
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!