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Xelga [282]
3 years ago
15

PLEASE HELPPP :(( lol

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

the pic is block

Step-by-step explanation:

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Evaluate the line integral c f · dr, where c is given by the vector function r(t). f(x, y) = xy i + 6y2 j r(t) = 14t4 i + t6 j,
Lisa [10]

\vec r(t)=14t^4\,\vec\imath+t^6\,\vec\jmath

\mathrm d\vec r=(56t^3\,\vec\imath+6t^5\,\vec\jmath)\,\mathrm dt

\vec f(x,y)=xy\,\vec\imath+6y^2\,\vec\jmath\implies\vec f(x(t),y(t))=14t^{10}\,\vec\imath+6t^{12}\,\vec\jmath

Then the line integral is

\displaystyle\int_C\vec f\cdot\mathrm d\vec r=\int_0^1(14t^{10}\,\vec\imath+6t^{12}\,\vec\jmath)\cdot(56t^3\,\vec\imath+6t^5\,\vec\jmath)\,\mathrm dt

=\displaystyle\int_0^1(36t^{17}+784t^{13})\,\mathrm dt=\boxed{58}

7 0
4 years ago
Write an equation of the line passing through the point (2, 3) that is perpendicular to the line 2x + y = 2.
vazorg [7]

Answer:

y = 1/2x + 2

Step-by-step explanation:

2x + y = 2

y = -2x + 2

y = 1/2x + b

3 = 1/2(2) + b

3 = 1+b

2 = b

8 0
3 years ago
ruth lives in a place where it rains an average of 12 days out of 90. if the weather each day is independent of the previous day
evablogger [386]

Answer:

<em>65%</em>

Step-by-step explanation:

Probability that it rains is 12/90

So, probability that it will NOT RAIN is 90 - 12 = 78 out of 90

Independent probability gets multiplied, so probability that it will not rain in 3 consecutive days would be:

P(Not Rain) * P(Not Rain) * P(Not Rain)

First, probability of not raining is 78/90, so:

P(Not Rain) * P(Not Rain) * P(Not Rain)

= 78/90 * 78/90 * 78/90 = 474552/729000

When divided, this will be  0.6509

To convert it to percentage, we multiply by 100:

0.6509 * 100 = 65.09

<em>Rounded to nearest percentage, that will be 65%</em>

4 0
3 years ago
I'm also concerned, how do people see my questions?
Marat540 [252]

Answer:

You ask and they see the answer is 4

Step-by-step explanation:

that is how you are suppoed t get help

2+2=4

5 0
3 years ago
Read 2 more answers
Grace rides her bike 5 miles in 1/2 hours. what is her average in a miles per hour?
jeka94
Grace is riding her bike at 10 mph
7 0
4 years ago
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