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belka [17]
3 years ago
15

Find a vector function that represents the curve of intersection ofthe two surfaces. The cylinder

Mathematics
2 answers:
Rudik [331]3 years ago
4 0

You're already given x(t)=6\cos t and y(t)=6\sin t. To find the z component, plug these into the second equation:

z=xy=36\sin t\cos t=18\sin(2t)

so we have

\vec r(t)=6\cos t\,\vec\imath+6\sin t\,\vec\jmath+18\sin(2t)\,\vec k

Readme [11.4K]3 years ago
3 0

Answer:

here'

Step-by-step explanation:

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A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number on the second roll?
Ivan

Answer:

1/12

Step-by-step explanation:

Okay, so this will be a compound probability question because there are two parts to the question.

Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.

Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.

Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.

6 0
3 years ago
Read 2 more answers
Gas mileage actually varies slightly with the driving speed of a car​ (as well as with highway vs. city​ driving). Suppose your
natima [27]

Answer:

Step-by-step explanation:

Suppose the car mileage actually varies slightly with the driving speed of the car

Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per​ hour,

and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.

The driving time for a 2500​-mile trip if you drive at an average speed of 54 miles per​ hour

= \frac{Distance}{Speed}  =  \frac{2500 }{45} \\\\= 55.56 hours.

The driving time for a 2500​-mile trip if you drive at an average speed of 65 miles per​ hour

= \frac{Distance}{Speed}  =  \frac{2500 }{65} \\\\= 38.46 hours.

7 0
3 years ago
Volume kubus dengan panjang rusuk 2 cm?​
jolli1 [7]

Answer:

<h2> 8 cm³ </h2>

Step-by-step explanation:

➡️ Volume = r³

➡️ 2³

➡️ 8

8 0
3 years ago
Read 2 more answers
Mr. Mole left his burrow and started digging his way down at a constant rate.
Iteru [2.4K]

Constant rate means it is linear so we don't have to worry about fluctuation.

change in y/ change in x=-18-(-25.2)/5-8=2.4 meters per second

6 0
3 years ago
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Find two consecutive even integers whors sum is 86. Which of the following could be used to solve the problem?
Yuliya22 [10]

Answer:

42 and 44

Step-by-step explanation:

The even numbers are numbers which can be written as 2n where n is any integer number.

Therefore, two consecutive numbers would be "2n" and "2n + 2"

We then have that

2n + (2n+2) = 86

4n + 2 = 86

4n = 84

n = 21

And the even number 2n is 2(21) = 42.

(We can verify this answer by doing 42 + 44 = 86)

5 0
3 years ago
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