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3 years ago

Find the length of the third side if necessary write in simplest radical form

Mathematics

1 answer:

GuDViN [60]3 years ago

4 0

Answer:

Step-by-step explanation:

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Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)

zubka84 [21]

Parameterize the line segments (call them $C_1$ and $C_2$ , respectively, by

$\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)$

$\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy$

$=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt$

$=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}$

6 0

3 years ago

Identify the inequalities A, B, and C for which the given ordered pair is a solution: (0,0)<br>

professor190 [17]

Answer:

Options (A) and (C)

Step-by-step explanation:

A). The given inequality is,

x + y ≤ 2

Solution area of the inequality is the shaded area below the line.

Since (0, 0) lies in the shaded region, ordered pair will be a solution of this inequality.

B). For the inequality y ≤ $\frac{3}{2}x-1$

Since, (0, 0) doesn't lie in the shaded region of this inequality, ordered pair will not be a solution of the inequality.

C). y > $-\frac{1}{3}x-2$

In this graph (0, 0) lies in the shaded region of the inequality therefore, it will be a solution of the given inequality.

Therefore, Options (A) and (C) are the correct options.

5 0

3 years ago

I need help on converting measurements

gulaghasi [49]

sometimes i use a thingy called calculator soup and it should have a measurement calculator

4 0

3 years ago

Ms. Lanigan rolls a fair die 300

babymother [125]

Should be around 150 as 3/6 of the numbers on a die are even so thats 1/2 and 300x(1/5) or just 300x0.5 or just 300/2 equals to 150

5 0

3 years ago

Read 2 more answers

Please help. Full explanation if you can.

sukhopar [10]

392 boots. If you divide everything into "sets" of an unknown amount, there are 5 more "sets" of boots than sandals, also known as the 245 boots. So if you divide 245 by 5, you'll get the number of items in a "set". Then just multiply by 8 from the 8:3 ratio. If you check it, it will come out to 392 boots to 147 sandals, which I think is ridiculous since sandals are supposed to come in pairs so you should never have a odd number. But anyway, 392 - 147 = 245

6 0

3 years ago