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
ira [324]
3 years ago
9

Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t) = 4 cos(t)i + 4

sin(t)j + "k"
Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

The equation to this question is "x^2+y^2=16"

Step-by-step explanation:

Given value:

\to  r(t) = 4 \cos (t)i + 4 sin(t)j + k\\where \\\\\to x(t)= 4 \cos t\\\to y(t) = 4 \sin t\\\to z(t)=1\\

\to x^2+y^2= 16 \cos^2 t +16 \sin^2 t\\\\\to x^2+y^2= 16 (\cos^2 t +\sin^2 t)\\\\\therefore (\cos^2 t +\sin^2 t =1)\\\\\to x^2+y^2= 16 (1)\\\\\to x^2+y^2= 16\\\\\to z=1

 So, the curve r(t) = 4 \cos (t)i + 4 sin(t)j + k is basically a circle, which is defined in the attachment file.

You might be interested in
PLEASE HELP GEOMETRY!!!
Goshia [24]
The answer is D

Hope this helps!
8 0
3 years ago
How do you solve this
Doss [256]

Answer:y=7

Step-by-step explanation:x=2+7=8

6 0
3 years ago
How many tablespoons are in 1/2 cup
evablogger [386]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A father’s age now is three times the age that his son was 4 years ago. In
Mice21 [21]
Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.

4 years ago, the son was:

s-4

So, his father is currently:

3(s-4)

=

3s-12

Therefore:

f = 3s-12

In twelve years, the son will be:

s+12

And the father will be:

f+12

This can also be written as:

3s-12+12 as the fathers younger age would be f = 3s+12

=

3s

So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36

Son’s current age: 36

We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.

2(24)+24 = 72

Father’s current age: 72










7 0
1 year ago
What is 310,763,146 in expanded form
lesya [120]
In expanded form, the number would look like this:

300,000,000 + 10,000,000 + 700,000 + 60,000 + 3,000 + 100 + 40 + 6

When you add the value of all of these digits, it'll get you the number: 310,763,146. Adding all of these values up and getting the number you originally started with is a great method of making sure you got the right answer.
6 0
3 years ago
Other questions:
  • Item 8 An account earns simple interest. $700 at 8% for 6 years a. Find the interest earned. $ b. Find the balance of the accoun
    14·1 answer
  • Which of these represents a quadratic polynomial with exactly two zeros given by - 21 and 2i?
    10·2 answers
  • Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles. Round each distance to the neare
    8·2 answers
  • ILL MARK BRAINLIEST FOR THE FIRST ANSWER
    5·1 answer
  • Find the volume of a rectangular prism if the length is 2x, the width is 4x2, and the height is 2x^2 + x + 7. Use the formula
    11·1 answer
  • Find the value of x.
    11·1 answer
  • Clint found the area of the parallelogram shown. Which statement explains the error Clint made?
    15·2 answers
  • From the table, the ratio of white socks to brown socks is 9/8
    7·2 answers
  • I need help with this prob
    5·1 answer
  • A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specifica
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!