Somebody please HELP I NEED TO PASS THIS

Answers

Answer 1

Answer: Y is equal to 21 and x is equal to 10

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Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F = cos(z), 10y, - x sin(z)

Answers

For $F$ to be conservative, we need to have

$(\partial f)/(\partial x)=\cos z$

$(\partial f)/(\partial y)=10y$

$(\partial f)/(\partial z)=-x\sin z$

Integrate the first PDE with respect to $x$ :

$\displaystyle\int(\partial f)/(\partial x)\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)$

Differentiate with respect to $y$ :

$(\partial f)/(\partial y)=10y=(\partial g)/(\partial y)\implies g(y,z)=5y^2+h(z)$

Now differentiate $f$ with respect to $z$ :

$(\partial f)/(\partial z)=-x\sin z=-x\sin z+(\mathrm dh)/(\mathrm dz)\implies(\mathrm dh)/(\mathrm dz)=0\implies h(z)=C$

So we have

$f(x,y,z)=x\cos z+5y^2+C$

so $F$ is indeed conservative.

Please Help! I have 2 questions,1. Which of the following best describes the solution to the equation below?
8+2x = 1/2(16+4x)

2. Which value of x makes the following equation true?
5(x - 1) = - 3x + 35

Answers

2. 5(x-1)=-3x+35
5x-5=-3x+35
5x=-3x+30
2x=30
x=15

Can anyone explain how to differentiate this ? (2x^2+3)sin5x

Answers

Hello,

(u*v)'=u'v+uv'
u=2x²+3 ==> u'=4x
v=sin 5x ==>v'=cos 5x *5

((2x²+3 sin (5x))'=4x* sin (5x) +(2x²+3)*cos (5x) * 5

HELLLOPPPPPPP HELPPP ASAPPP PLEASE !!

Answers

Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

4c=40

c=10

Which of these is not part of an algebraic equation? A
an inequality sign
B
an expression
C
an equal sign
D
a variable

Answers

Answer:

A-an inequality sign

Step-by-step explanation:

inequality sign: greater then, less than, equal to.

expression: 2x + 3 no equal sign

equal sign: =

Variable: a letter in the equation such as n x 6=?

Hope this is correct.

Which equation represents the line that passes through the point (1, 5) and has a slope of -2?

Answers

Answer:

y=-2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-2(x-1)

y=-2x+2+5

y=-2x+7

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