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Alekssandra [29.7K]
3 years ago
11

Write an inequality , in slope - intercept form for the graph below . If necessary , use " < = " for sor " > = " for 2 . (

-3,0 ) ( 0-3 )

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

Step-by-step explanation:

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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 =
xxMikexx [17]

For F to be conservative, we need to have

\dfrac{\partial f}{\partial x}=\cos z

\dfrac{\partial f}{\partial y}=10y

\dfrac{\partial f}{\partial z}=-x\sin z

Integrate the first PDE with respect to x:

\displaystyle\int\frac{\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:

\dfrac{\partial f}{\partial y}=10y=\dfrac{\partial g}{\partial y}\implies g(y,z)=5y^2+h(z)

Now differentiate f with respect to z:

\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\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.

8 0
3 years ago
Help please urgent thanks
Alex

Answer:

The answer is 2/10 and 2/10

(A)

8 0
3 years ago
2.) I am a two-digit number that can be referred to as a perfect square. The sum of my two digits is 10. What number am I?
Scorpion4ik [409]

Answer: 64

Step-by-step explanation:

By definition, a perfect square is the square of a whole number.

The information given in the problem that you must keep on mind is:

- The number has two digits.

- The number is a perfect square ( Is obtained by squaring a whole number).

- The sum of its two digits is 10.

The number 64 is formed by the digit 6 and the digit 4. The sum of both digits is:

6+4=10

The number 64 can be written as:

64=8*8=8^2

Then, it is perfect square.

5 0
3 years ago
The diagonal of a square is x units. What is the area of the square in terms of x? square units square units 2x square units squ
STatiana [176]

For this case we have that by definition, if we draw the diagonal of a square two rectangular triangles are formed. If the diagonal measures "x", then the Pythagorean theorem is fulfilled:

l ^ 2 + l ^ 2 = x ^ 2

Where:

l: It's the side of the square.

2l ^ 2 = x ^ 2\\l ^ 2 = \frac {x ^ 2} {2}

We know that the area of a square is given by:

A = l ^ 2

So, the area is:

A = \frac {x ^ 2} {2}

Answer:

A = \frac {x ^ 2} {2}

8 0
3 years ago
Read 2 more answers
Is 95,88,81,74 and 67 an even or odd
alukav5142 [94]
95 is an odd number.
88 is an even number.
81 is an odd number.
74 is an even number.
67 is an odd number.

(:
6 0
3 years ago
Read 2 more answers
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