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
BARSIC [14]
3 years ago
13

Consider the spiral given by c(t) = (e2t cos(2t), e2t sin(2t)). Show that the angle between c and c' is constant. c'(t) = _____L

et θ be the angle between c and c'. Using the dot product rule we have the following. c(t) · c'(t) = c(t) · c'(t) cos(θ) 2e4t =________ cos(θ)

Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0

Answer:

angle is 45° which is constant

Step-by-step explanation:

We use formula for two vectors <u>a </u>and <u>b</u>    to calculate angle θ between them by formula

cos θ =  <u>a .</u> <u>b</u>  / magnitude of <u>a </u>  ×  magnitude of <u>b</u>

<u>Please see the attached file</u>

You might be interested in
What are the coordinates of the x and y intercepts of the equation 3x+2y=12
Sonbull [250]
To find the x-intercept you must make y=0

3x+2y=12 - substitute 0 for y
3x+2(0)=12 - multiply 2 and 0
3x+0=12 - add zero
3x=12 - divide by 3
x=4

To find the y-intercept you must make x=0

3x+2y=12 - substitute 0 for x
3(0)+2y=12 - multiply 3 and 0
0+2y=12 - add 0 and 2y
2y=12 - divide by 2
y=6
4 0
3 years ago
Find the value of xx and yy in the parallelogram below.
VikaD [51]

Answer: x = 7 and y = -17

Step-by-step explanation:

Opposite sides of parallelograms are equal.

-5y + 3 = 88

-5y = 85

y = -17

10x - 7 = 63

10x = 70

x = 7

6 0
2 years ago
Read 2 more answers
Aisha runs a tutoring business. With Plan 1, students may choose to pay $26 per hour. With Plan 2, they may follow the plan show
Finger [1]

Answer:

$20 dollars and $10 dollars per hour

Step-by-step explanation:

the line starts at 20 and it escalates by 10 ( 10,20,30,40,50,ect)

i just had a question like this and i'm in middle school, i tried to look for the answer on here but no one answered so when i took time to answer the problem i got it right on the first try.. anyway i hope this helps .!

3 0
3 years ago
State that dgree of the term -6x²y​
vladimir2022 [97]
I think it’s -6 but I would check with someone else too lol
3 0
3 years ago
5 1/4 - 2 2/3, how do I solve please?
densk [106]
5 1/4 - 2 2/3

first you find the LCM, so u can make both fractions have a like denominator. I'm thinking the LCM is 12, so:

(5 3/12) - (2 8/12) 
= 63/12 - 32/12
=31/12
= 2 and 7/12

5 1/4 - 2 2/3 = 2 7/12
6 0
3 years ago
Read 2 more answers
Other questions:
  • A car traveled a distance of 180 miles in 4 hours. Traveling at the same speed, what distance would this car travel in 9 hours?
    11·2 answers
  • Ms Quon discovered that 40 students like soccer, 20 liked baseball, 10 liked football, and 5 liked swimming.
    13·1 answer
  • Which is the equation, in slope-intercept form, of a line with slope -2 and passes through (-1, 3)?
    7·1 answer
  • Name the property of real numbers illustrated by the equation.<br><br> -3(x+4)=-3x-12
    10·1 answer
  • 4/5(2x+5)−4=1<br> btw 4/5 are fractions
    6·2 answers
  • In Mathopolis, an adult is a person 21 years of age or older and a child is a person under 21 years of age. Exactly half of the
    11·1 answer
  • What is the b in 4b+3=9 thank you
    8·2 answers
  • Make the expression below a perfect square by adding in a constant value: x^2+14x+_
    12·1 answer
  • HELPPPPO THIS IS DUE TOMORROW!
    5·1 answer
  • Pls help with this problem!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!