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pantera1 [17]
3 years ago
8

Please please jhelp me....​

Mathematics
1 answer:
Mrrafil [7]3 years ago
6 0

Answer:

2·<u>v</u> - (<u>u</u> + <u>w</u>) = (5, 0, -10)

Step-by-step explanation:

The given values of the vectors are;

<u>u</u> = (2, -1, 3), <u>v</u> = (4, 0, -2), and <u>w</u> = (1, 1, 3)

The required vector is 2·<u>v</u> - (<u>u</u> + <u>w</u>)

2 × <u>v</u> = 2 × (4, 0, -2) = (8, 0, -4)

(<u>u</u> + <u>w</u>) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)

Therefore;

2·<u>v</u> - (<u>u</u> + <u>w</u>) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)

2·<u>v</u> - (<u>u</u> + <u>w</u>) = (5, 0, -10)

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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = e−5t
Elan Coil [88]

Answer:

x = 1 - 5t

y = t

z = 1 - 5t

Step-by-step explanation:

For the equation of a line, we need a point and a direction vector. We are given a point (1, 0, 1).

Since the line is suppose to be a tangent to the given curve at the point (1, 0, 1), we need to find a tangent vector for which the curve passes through that point.

We have x = e^(-5t)cos5t

at t = 1, x = e^(-5)cos5

at t = 0, x = 1

y = e^(-5t)sin5t

at t = 1, y = e^(-5)sin5

at t = 0, y = 0

z = e^(-5t)

at t = 1, z = e^(-5)

at t = 0, z = 1

Clearly, the only parameter value for which the curve passes through the point (1, 0, 1) is t = 0.

In vector notation, the curve

r(t) = xi + yj + zk

= e^(-5t)cos5t i + e^(-5t)sin5t j + e^(-5t) k

r'(t) = [-5e^(-5t)cos5t - e^(-5t)sin5t] i +[e^(-5t)cos5t - 5e^(-5t)sin5t] j - 5e^(-5t) k

r'(0) = -5i + j - 5k

is a vector tangent at the point.

We get the parametric equation from this.

x = x(0) + tx'(0)

= 1 - 5t

y = y(0) + ty'(0)

= t

z = z(0) + tz'(0)

= 1 - 5t

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3 years ago
Which of the following explains the role of Pi (1) in finding the circumference of a circle?
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Answer:

The answer is C, The use of Pi can be used to find the ratio of the diameter and circumference of a circle

Step-by-step explanation:

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ludmilkaskok [199]

Answer:

72

Step-by-step explanation:

Dont worry, these problems are tricky! The answer is 72. All you have to do to find the answer is multiply 12x6. For example, if it was asking '1/8 of ... is 12' then you would multiply 12x8.

Hope this helps! I would really appreciate it if you marked me brainliest! :)

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Svetradugi [14.3K]

Answer:

I will just give you the way of solving it

Step-by-step explanation:

First you have to change the sgape of the equation and it will become like this :

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And then:

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It will become

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And the points are (0,+12)

Go on like this and draw the line

Good luck

Sorry for bad english

4 0
3 years ago
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