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
emmainna [20.7K]
3 years ago
10

If anyone can help me with this it would be awesome

Mathematics
1 answer:
marta [7]3 years ago
4 0

Answer:

The last question is 41!

Step-by-step explanation:

You might be interested in
(3xy2x2y−3)2(9xy−3x3y2)−1.
Crank

Answer:

-18x square y -+36xy square + 54 xy - 1

Step-by-step explanation:

collect the terms, calculate the product, collect the terms, then distribute

4 0
3 years ago
Find the unit tangent vector T and the principal unit normal vector N for the following parameterized curve.
const2013 [10]

Answer:

a.

T(t) = ( -sin(t^2), cos(t^2) )\\\\N(t) = T'(t) / |T'(t) |  =   (-cos(t^2) , -sin(t^2))

b.

T(t) =r'(t)/|r'(t)| =  (2t/ \sqrt{4t^2   + 36} , -6/\sqrt{4t^2   + 36},0)

N(t) =T(t)/|T'(t)| =  (3/(9 + t^2)^{1/2} , t/(9 + t^2)^{1/2},0)

Step-by-step explanation:

Remember that for any curve      r(t)  

The tangent vector is given by

T(t) = \frac{r'(t) }{| r'(t)| }

And the normal vector is given by

N(t) = \frac{T'(t)}{|T'(t)|}

a.

For this case, using the chain rule

r'(t) = (  -10*2tsin(t^2) ,   102t cos(t^2)   )\\

And also remember that

|r'(t)| = \sqrt{(-10*2tsin(t^2))^2  +  ( 10*2t cos(t^2) )^2} \\\\       = \sqrt{400 t^2*(  sin(t^2)^2  +  cos(t^2) ^2 })\\=\sqrt{400t^2} = 20t

Therefore

T(t) = r'(t) / |r'(t) | =  (  -10*2tsin(t^2) ,   10*2t cos(t^2)   )/ 20t\\\\ = (  -10*2tsin(t^2)/ 20t ,   10*2t cos(t^2) / 20t  )\\= ( -sin(t^2), cos(t^2) )

Similarly, using the quotient rule and the chain rule

T'(t) = ( -2t cos(t^2) , -2t sin(t^2))

And also

|T'(t)| = \sqrt{  ( -2t cos(t^2))^2 + (-2t sin(t^2))^2} = \sqrt{ 4t^2 ( ( cos(t^2))^2 + ( sin(t^2))^2)} = \sqrt{4t^2} \\ = 2t

Therefore

N(t) = T'(t) / |T'(t) |  =   (-cos(t^2) , -sin(t^2))

Notice that

1.   |N(t)| = |T(t) | = \sqrt{ cos(t^2)^2  + sin(t^2)^2 } = \sqrt{1} =  1

2.   N(t)*T(T) = cos(t^2) sin(t^2 ) - cos(t^2) sin(t^2 ) = 0

b.

Simlarly

r'(t) = (2t,-6,0) \\

and

|r'(t)| = \sqrt{(2t)^2   + 6^2} = \sqrt{4t^2   + 36}

Therefore

T(t) =r'(t)/|r'(t)| =  (2t/ \sqrt{4t^2   + 36} , -6/\sqrt{4t^2   + 36},0)

Then

T'(t) = (9/(9 + t^2)^{3/2} , (3 t)/(9 + t^2)^{3/2},0)

and also

|T'(t)| = \sqrt{ ( (9/(9 + t^2)^{3/2} )^2 +   ( (3 t)/(9 + t^2)^{3/2})^2  +  0^2 }\\= 3/(t^2 + 9 )

And since

N(t) =T(t)/|T'(t)| =  (3/(9 + t^2)^{1/2} , t/(9 + t^2)^{1/2},0)

6 0
3 years ago
-6/13 - (-7/15)<br> pls solve it for me !!! :)
MAXImum [283]

Answer:

First, make the double negative a positive.

So, (-6/13) + (7/15)

Then multiply the numerator, 6×7=42

And denominator 13×15=195

42/195 simplify by dividing both by 3 so 14/65

8 0
2 years ago
Read 2 more answers
What is the percent for .3?
STatiana [176]
There are 2 ways to turn a number into a percent...

(1) move the decimal 2 spaces to the right....0.3 = 30%
(2) multiply by 100....0.3 x 100 = 30%
8 0
3 years ago
Read 2 more answers
Describe how you would find how much grass seed is needed to cover a triangular plot of land
Papessa [141]

Answer: it the area of it

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the slope of the line: the length of a bus route is 4 miles long on the sixth day and 4 miles long on the seventeenth day.
    8·1 answer
  • What fraction of the day would you spen in bed if you slept 10 hours
    14·1 answer
  • A sphere has a radius of r. What is the area of a cross section taken at a distance of 1/2r from the center of the sphere?
    15·1 answer
  • Jonathan and Timothy are playing on a seesaw during recess. The height, in feet, of Timothy after x seconds is represented by th
    8·2 answers
  • The perimeter of a rectangle is 64 cm. The length is 12cm longer than the width what are the length and the width of the rectang
    6·1 answer
  • The graph of the following system of equations is...
    8·2 answers
  • Anyone know the answer ? :(
    9·1 answer
  • Write an equation and solve for x
    13·1 answer
  • Andy drove 840 miles in 12 hours. How much miles can he drive per hour?
    8·2 answers
  • What is the magnitude (size) of 3.7?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!