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4 years ago

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ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

1 answer:

UNO [17]4 years ago

7 0

What do you don’t get

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Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter

jolli1 [7]

Answer:

the answer is incomplete, below is the complete question

"Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = 3ti + (1 - 4t)j + (1 + 2t)k r(t(s)) ="

answer

$r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k$

Step-by-step explanation:

The step by step procedure is to first determine the differentiate the given vector function

r(t) = 3ti + (1 - 4t)j + (1 + 2t)k

$\frac{d(r(t) = 3ti + (1 - 4t)j + (1 + 2t)k)}{dt} \\r'(t)=3i-4j+2k\\$

since s(t) is the arc length for r(t), which is define as

$s(t)=\int\limits^t_0 {||r'(t)||} \, dt$

if we substitute the value of r'(t) we arrive at

$s(t)=\int\limits^t_0 {||r'(t)||} \, dt\\s(t)=\int\limits^t_0 {\sqrt{3^{2} +4^{2}+2^{2}} \, dt\\s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\$

$s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\\\s(t)=\sqrt{29} t\\hence \\t(s)=\frac{s}{\sqrt{29} }$

substituting the value of t in to the given vector equation we have

$r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k$

4 0

4 years ago

Draw the graphs of the lines below on the same grid to find the coordinates of the point of intersection. y + 5 = 2 x y = 7 − 2

Butoxors [25]

Answer:

The point of intersection is (3,1)

Step-by-step explanation:

Manipulate these equations to achieve the form of y = mx + c

1) y + 5 = 2x

Y = 2x - 5

2) y = 7 - 2x

Y = -2x + 7

Point of intersection is (3,1) on the graph attached

To check algebraically:

2x - 5 = -2x + 7

4x = 12

X = 3

Substitute to get y

Y = 2x - 5

Y = 2 x 3 - 5

Y = 1

Therefore (3,1)

5 0

2 years ago

Three friends earned more than $200 washing cars they pay their parents $20 for supplies and divided the rest of the money equal

kow [346]

$90 because 200-10=180 and divide 180 by 2 which is 90.

3 0

3 years ago

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masya89 [10]

The value of x is 2x+38=90
The answer is x=26

3 0

3 years ago

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The ration of girls to boys is 7:8. If there are 140 girls, how many boys are there?

Triss [41]

Answer:

160

Step-by-step explanation:

140 divided by 7 equals 20, then you times the answer by 8, which you get 160.

7 0

3 years ago