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3 years ago

First-person to answer correctly with an explanation gets Brainliest

Mathematics

1 answer:

zzz [600]3 years ago

7 0

Answer:

it has to be a or d

Step-by-step explanation:

they have 4000 in 1996 but we want 1991.so we get 15 percent of least time but i belive its d

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Need help plz very difficult

Oksanka [162]

Answer:

D - 9x^(2)+2x-5

Step-by-step explanation:

6 0

3 years ago

two fractions with different denominators have a sum of 7/12 what are two possible addends that results in this sum

yawa3891 [41]

1/3+1/4=7/12 because changing the denominators to make them common gives you 4/12+3/12=7/12

8 0

3 years ago

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Consider the line integral Z C (sin x dx + cos y dy), where C consists of the top part of the circle x 2 + y 2 = 1 from (1, 0) t

pashok25 [27]

Direct computation:

Parameterize the top part of the circle $x^2+y^2=1$ by

$\vec r(t)=(x(t),y(t))=(\cos t,\sin t)$

with $0\le t\le\pi$ , and the line segment by

$\vec s(t)=(1-t)(-1,0)+t(2,-\pi)=(3t-1,-\pi t)$

with $0\le t\le1$ . Then

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)$

$=\displaystyle\int_0^\pi(-\sin t\sin(\cos t)+\cos t\cos(\sin t)\,\mathrm dt+\int_0^1(3\sin(3t-1)-\pi\cos(-\pi t))\,\mathrm dt$

$=0+(\cos1-\cos2)=\boxed{\cos1-\cos2}$

Using the fundamental theorem of calculus:

The integral can be written as

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=\int_C\underbrace{(\sin x,\cos y)}_{\vec F}\cdot\underbrace{(\mathrm dx,\mathrm dy)}_{\vec r}$

If there happens to be a scalar function $f$ such that $\vec F=\nabla f$ , then $\vec F$ is conservative and the integral is path-independent, so we only need to worry about the value of $f$ at the path's endpoints.

This requires

$\dfrac{\partial f}{\partial x}=\sin x\implies f(x,y)=-\cos x+g(y)$

$\dfrac{\partial f}{\partial y}=\cos y=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\sin y+C$

So we have

$f(x,y)=-\cos x+\sin y+C$

which means $\vec F$ is indeed conservative. By the fundamental theorem, we have

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=f(2,-\pi)-f(1,0)=-\cos2-(-\cos1)=\boxed{\cos1-\cos2}$

3 0

3 years ago

What is the best approximation of the volume of the right cone?

zalisa [80]

Formula:

V = 1/3 * pi * r^2 * h

Plug in what we know:

V = 1/3 * 3.14 * 3^2 * 4

V = 37.68cm^3

So the volume is 37.68cm^3 which rounds to 37.7cm^3.

5 0

3 years ago

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If Y is the midpoint of AB, find B given A(3,5) and Y(-2, 3).*

Murljashka [212]

Answer: (-7,1)

Step-by-step explanation:

6 0

3 years ago