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
Likurg_2 [28]
3 years ago
14

Find a parametrization of the ellipse centered at the origin in the xy-plane that has major diameter 12 along the x-axis, minor

diameter 8 along the y-axis, and is oriented counter-clockwise. Use t as the parameter. It should change from 0 to 2*pi. Your parametrization should make the point (6,0) correspond to t = 0.
x(t) =
y(t) =
(0 <= t <= 2*pi).
Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

x = 6 cos t

y = 6 sin t

where t varies from 0 to 2pi

Step-by-step explanation:

Given that an ellipse is centred at the origin in xy plane.

So equation would be of the form

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

Major axis =2a= 12

so a=6

Minor diameter = 8

b = 8/2 = 4

a=6 and b =4

Also (6,0) should correspond to t=0

So best parametrization would be

x = 6 cos t

y = 6 sin t

where t varies from 0 to 2pi

You might be interested in
Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75

(b)

Compute the variance of X as follows:

\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083

(c)

Compute the value of P(X < 3.7) as follows:

P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898

Thus, the value of P(X < 3.7)  is 0.4898.

5 0
2 years ago
Solve for x.<br><br> 2(4x - 1) + 3(3 - 2x) = 0<br><br> x = -4<br> x = -7/2<br> x = -4/3<br> x = -7/6
lara [203]
The correct answer: x=-7/2
Hope this help!!!
7 0
2 years ago
Read 2 more answers
What is the volume of the square pyramid with base edges 12 cm and height 12 cm?
aliya0001 [1]

Answer:

V=144

Step-by-step explanation:

To find the volume of a pyramid, use the formula V=B•h, B being the base and h the height. So 12•12=144.

4 0
3 years ago
Read 2 more answers
Explain how to write 5/3 as a product of a whoke number and a unit fraction​
KIM [24]

Answer:

1 \frac{2}{3\\}

Step-by-step explanation:

5/3 = 3/3 * 2/3

3/3 = 1

So the answer is 1 \frac{2}{3\\}

5 0
3 years ago
HELP PLEASEE!!!!
ss7ja [257]

Answer:

See below ~

Step-by-step explanation:

\textsf {Each of the steps has been reasoned below :}

\implies \textsf {3x - 2 = 4 (Given)}

\implies \textsf {3x = 6 (Addition Property of Equality)}

\implies \textsf {x  = 2 (Division Property of Equality)}

\textsf {In the second step, the property has been applied}\\\textsf {by adding 2 to each side of the equation.}

\textsf {In the third step, the property has been applied by dividing 3 on each side.}

3 0
2 years ago
Read 2 more answers
Other questions:
  • Prairie dogs ventilate their burrows by building a mound around one entrance, which is open to a stream of air when wind blows f
    14·1 answer
  • What is the sum of the interior <br>angles of a quadrilateral?
    5·2 answers
  • Define the word factor mathmatically
    6·2 answers
  • Classify the triangle with angles with measures 20 degrees,133 degrees,and 27 degrees as acute,right,or obtuse.
    5·1 answer
  • 34.23 times one year is ....
    9·2 answers
  • Esme takes the bus to university 40 times during a term to relative frequency of the bus being late is 0.3
    10·2 answers
  • There is a spinner with 8 equal areas, numbered 1 through 8. If the spinner is spun one time, what is the probability that the r
    11·1 answer
  • -8n+4(1+5n)=-6n-14<br> Please answer
    8·1 answer
  • What is 7x + 15 = 9x + 15 - 2x + 1 and how many solutions are there
    10·2 answers
  • An area of 3.5m² is the same as 350000mm². True or false. Justify your answer
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!