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siniylev [52]
3 years ago
11

What is the Product?

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
5 0

Answer:

The answer is B

Step-by-step explanation:

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Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. (if the vector field is
gladu [14]

\mathbf f is conservative if we can find a scalar function f such that \nabla f=\mathbf f. This is equivalent to solving the system of PDEs,

\dfrac{\partial f}{\partial x}=2x-6y

\dfrac{\partial f}{\partial y}=-6x+10y-9

Integrate both sides of the first PDF with respect to x:

f(x,y)=x^2-6xy+g(y)

where g is some function independent of x. Then differentiatng with respect to y, we have

\dfrac{\partial f}{\partial y}=-6x+\dfrac{\mathrm dg}{\mathrm dy}=-6x+10y-9

\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-9\implies g(y)=5y^2-9y+C

and so \mathbf f is indeed conservative, with

f(x,y)=x^2-6xy+5y^2-9y+C

3 0
3 years ago
What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer. 2. 7 units 3. 2 units 4. 5 units
worty [1.4K]

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

The value of the z is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

<h3>What is law of sine?</h3>

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

\dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c}

Here A,B,C are the angle of the triangle and a,b,c are the sides of that triangle.

Given information-

The triangle for the given problem is attached below.

In the triangle the base of the triangle is 2.6 units long.

The sine law for the given triangle can be written as,

\dfrac{\sin X}{x} =\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}

As the value of y side is known and the value of z has to be find. Thus use

\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}

Put the values,

\dfrac{\sin 51}{2.6} =\dfrac{\sin 76}{z}

Solve it for the z,

z=\dfrac{\sin 76\times 2.6}{\sin 51}\\z=3.2462

Hence the value of the z is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

Learn more about the sine law here;

brainly.com/question/2264443

4 0
2 years ago
If OB= 17 and AB = 30, then OR =
Novay_Z [31]
The correct answer is 8
Because
In triangle ORB
OR=(OB^2-RB^2)^1/2
OR=(17^2-15^2)^1/2
OR=(289-225)^1/2
OR=(64)^1/2
OR=8
RB=AB/2 so I kept its value 15 and ^1/2 refers to square root
6 0
4 years ago
Read 2 more answers
HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
Assoli18 [71]

Answer:

1/10th?

Pretty sure that's it.

Correct me if I'm wrong,

4 0
3 years ago
A millimetre is ______meter(s)
Dmitriy789 [7]

Answer:

1000 mm

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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