MATHEMATICS HIGH SCHOOL

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

Answer 1

Answer:

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.

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Select the correct answer. Simplify √54A. 18√3B. 9√6C. 3√6D. 6√3
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Identify n in the equation below. Then name the property that is used.6 = 6 + n A). 1, Identity property of addition B). 0, Identity property of addition C). 0, Commutative property of addition D). 0, Multiplicative property of Zero
Solve for x. 6x + 2 = 14

3(4+6)55 x 2/3=

What is the answer?

Answers

Answer:

1100

Step-by-step explanation:

hope it helped

Simplify.i^68

A. -i

B. 1 (I think it's B, please tell me if it's right or not. Thank you.)

C. -1

D. i

Answers

Answer:

B. 1

Step-by-step explanation:

Isolate i on one side of the equation.

First, use exponent rule.

$\displaystyle \mathsf{A^B^C=(A^B)^C}}$

$\displaystyle \mathsf{(I^2)^3^4=I^6^8}}$

$\displaystyle \mathsf{(I^2)^3^4}}$

Solve. (by imaginary number rule.)

i²=-1

(-1)³⁴

=1³⁴

1³⁴=1

$\Large\boxed{\mathsf{\Rightarrow 1}}}$

In conclusion, the final answer is (B.) 1.

What is the answer of this equation

Answers

Put it in an improper fraction by multiply the coefficient with the denominator and add the numerator.
5/2 , 14/3
Find a common denominator which would be 6.
5/2 = 15/6 , 28/6
Add those together.
15/6 + 28/6 = 43/6
Since it can't be simplified the answer is 43/6

(02.07 MC)A box is 50 cm long. Which of these is closest to the length of this box in feet? (1 inch = 2.54 cm)

1.02 feet
1.17 feet
1.64 feet
4.15 feet

Answers

The answer is 1.64 feet. 1.64 x 12 = 19.68 inches

19.68 x 2.54 cm= 49.9872 cm

Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, what is the value of A? Numerical Answers Expected! Answer for Blank 1:

Answers

Taking out the parentheses of expression
(5x2 + 3x + 4) − (2x2 + 5x − 1)

= 5x2 + 3x+ 4 -2x2 - 5x + 1

Grouping together the like terms and arranging the expression:
= 5x2 - 2x2 + 3x - 5x + 4 + 1

Combining the like terms:
= 3x2 - 2x + 5

Therefore,
A = 3

Answer: 3

Step-by-step explanation:

An angle that shares the same sine value of an angle that measures 5pi/4 radians is located where?

Answers

Find the angle in degrees first:
Substitute 180 for pi.
(5 x 180) / 4
900 / 4
= 225 degrees
Now, the angle that has the same sin value of 225 is the angle's reference angle, or the angle that it makes with the x-axis.
225-180 = 45

45 is the angle that shares the same sin value

Answer: 45 degrees

Hope this helps :)

Answer:

quadrant 1

Step-by-step explanation:

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