Given
[tex]\vec v = f(x,y,z)\,\vec\imath+g(x,y,z)\,\vec\jmath+h(x,y,z)\,\vec k \\\\ \vec v = \sin(x)\cos(y)\tan(z)\,\vec\imath + x^2y^2z^2\,\vec\jmath+x^4y^4z^4\,\vec k[/tex]
the curl of [tex]\vec v[/tex] is
[tex]\displaystyle \nabla\times\vec v = \left(\frac{\partial h}{\partial y}-\frac{\partial g}{\partial z}\right)\,\vec\imath - \left(\frac{\partial h}{\partial x}-\frac{\partial f}{\partial z}\right)\,\vec\jmath + \left(\frac{\partial g}{\partial x}-\frac{\partial f}{\partial y}\right)\,\vec k[/tex]
[tex]\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ - \left(4x^3y^4z^4-\sin(x)\cos(y)\sec^2(z)\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k[/tex]
[tex]\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ + \left(\sin(x)\cos(y)\sec^2(z)-4x^3y^4z^4\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k[/tex]
Solve: –36 x 72 + 64 x (–72)
And mention the property
Closure/Commentative/Associative
Explain your answer and gain 20 points.
Step-by-step explanation:
[tex] - 36 \times 72 + 64 \times ( - 72)[/tex]
first carry out the multiplication operation:
[tex] = ( - 36 \times 72) + (64 \times - 72) \\ = - 2592 + ( - 4608)[/tex]
then addition operation:
[tex] = - 7200[/tex]
Answer:
[tex] - 36 \times 72 + 64 \times ( - 72) \\ - 2592 + ( - 4608) \\( - 7200)[/tex]
Solve the equation.
ta (a + 8) = fr3-a
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
help me now where are you all helppppp
Q7
7/25
(Decimal: 0.28)
Step-by-step explanation:
Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:
= 7/25
= 7 ÷ 25
= 0.28
-y- 3 (-3y+5) helpppppppp
Answer:
D = 8y-15
Step-by-step explanation:
-y-9y-15 than combine -y and -9y
so = 8y-15
Madura is 25 years younger than her father. Nadira's mother is two years younger than her father. Together Nadira, her mother and father have a combined age of 78. Work out their ages.
just solve by yourself
A man bought a car for Naira 120000 and later sold it at a loss of 6%calculate the selling price
Answer:
7200
Step-by-step explanation:
Formula: Loss = C.P. – S.P. Remember: Loss or Profit is always computed on the cost price.
6% of 120000=7200
2. The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. Find the third moment of the distribution about 10.
Please explain the answer and workings.
Step-by-step explanation:
The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?
Call the random variable x.
Now, define a new variable y = x - 5. Note that x - 10 = y - 5.
So, it is clear that (x-10)^3 = (y-5)^3
Also, note that (y-5)^3 can be expanded as follows:
Expand (y-5)³
Result ; y³-15 y²+75 y - 125
Letting E denote expectation with respect to the random variable x, we see that
E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125
Again, recalling that y = x - 5, have
E(y^3) = 140
E(y^2) = 20
E(y) = E(x) - 5 = 5 - 5 = 0
Thus,
E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285
Finally, note that
E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]
So, we get E[(x-10)^3] = -285.
A savings account with $1,000 has no other
deposits or withdrawals made. The account earns
2.5% annual interest t years after the $1,000 was
deposited. The function f(t) = 1,000(1.025)* can
be used to represent the balance, in dollars, in
the savings account.
Which amount is closest to f(5), the balance, in
dollars, in the account at the end of 5 years?
A 5,125
B 5,000
C 1,362
D 1,131
E 1,064
Answer:
A = P (1 + i)^n where the principal P equals amount A after n periods
P = 1000 and i = .025 / yr
A1 = A (1.025) = 1025
A2 = A1 (1.025) = A (1.025)^2 etc
A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years
pls say hard
very hard
Answer:
3
Step-by-step explanation:
factorize given
[tex]4sin ^{2} \alpha - 5 sin \alpha - 6[/tex]
Step-by-step explanation:
Hey there!
See the attached picture.
Hope it helps!
How would you solve for f(-x) ?
f(x) = x^2 +3x + 9
9514 1404 393
Answer:
f(-x) = x^2 -3x +9
Step-by-step explanation:
Use -x as the argument of the function.
f(-x) = (-x)^2 +3(-x) +9
f(-x) = x^2 -3x +9 . . . . . . . . simpify
Find the area of a circle with a diameter of 10 feet using pi=3.14
Answer:
78.5 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
r = d/2 where d is the diameter
r = 10/2 = 5
A = 3.14 ( 5)^2
A = 78.5 ft^2
What is the value of f(0)? -2 -1 0 1most segment goes from (2, negative 4) to (3, negative 4). What is the value of f(0)? -2 -1 0 1
Answer:
[tex]f(0)=-2[/tex]
Explanation:
When looking at the value of [tex]f[/tex] at a particular input, the value is defined by the height of a solid dot, given a solid dot is present, and the value is not defined by hollow dots.
When looking at the input 0, there is a hollow dot at a height of -1 and a solid dot at a height of -2. Therefore [tex]f(0)=-2[/tex]
Answer:
2
Step-by-step explanation:
Which of the following fractions is in lowest form
fraction is in lowest term is no(b)
Marissa earns $1,000 after taxes twice a month. Marissa's monthly bills are $1,200. Marissa deposits 40% of her remaining monthly income into a savings account and annually saves:
She saves $3,840 annually into savings account
1. Marissa earns $1,000 after taxes twice a month
This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes
2. Marissa's monthly bills are $1,200.
The monthly bills means expenses that Marissa incurred during the month.
3. Marissa deposits 40% of her remaining monthly income into a savings account
The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).
She deposits 40% of $800 into a savings account.
= 40% x $800
= $320
So, she is saving $320 out of the remaining $800 she has per month.
4. Marissa annually save?
She saves $3,840 annually ($320 x 12 months) into savings account.
However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.
See related question here https://brainly.com/question/18917500
What is Matilda's number?
Answer:
11
Step-by-step explanation:
The answer will be 11
as she is thinking of prime number so
111 is not a prime number
aswell as 77 is not a prime number
11 is a prime number and is also a multiple of 11
Answer:
11
Step-by-step explanation:
I need help please please help me )):
Answer:
ok bro I will help you don't worry
If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
The decimal point should be placed after the 0 in 45780.
Step-by-step explanation:
12 = 11 1/12 + ___
(More help please this is confusing)
Answer:
11/12Step-by-step explanation:
12 = 11 1/12 + ____
=> 12 - 11 1/12 = ____
=> (144 - 133) / 12 = ____
=> 11/12 = _____
Hence,
11/12 is the answer
Find NL. Not sure to to solve this.
Answer:
NL= 2 × HI
x+24 =2 × (X+16)
x+24=2x + 32
2x-x= 24-32
x= – 8
NL=x+24 = –8 +24= 16
So ; NL= 16
I hope I helped you^_^
Find the 10th term in the sequence.
1/2, -1, 2, -4
1. 512
2. 125
3. -256
Answer:
tenth term is -256
Step-by-step explanation:
It is geometric progression:
[tex]a_{n} = a( {r}^{n-1} )[/tex]
r » common ratio, r = 2 ÷ (-1) = -2
a » first term, a = ½
n » number of terms, n is 10
[tex]a_{10} = \frac{1}{2} \{{( - 2)}^{10-1} \} \\ \\ a_{10} = \frac{1}{2} (-512) \\ \\ a_{10} = \frac{-256}{1} [/tex]
Step-by-step explanation:
everything can be found in the picture
what is into relation with suitable example
Answer:
the relation between the x-values and y-values of ordered pairs
|1|, |-4|, |-3|, |2|
Answer:
|1| = 1
|-4| = 4
|-3| = 3
|2| = 2
Step-by-step explanation:
The absolute value function is defined by
[tex]|x|=\begin{cases}x,&x\ge0\\-x,&x<0\end{cases}[/tex]
Since 1>0, we have |1| = 1.
Since -4<0, we have |-4| = -(-4) = 4.
Since -3<0, we have |-3| = -(-3) = 3.
Since 2>0, we have |2| = 2.
Can a polyhedron have 10 faces, 14 vertices and 20 edges
Answer:
nope
Step-by-step explanation:
Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.
After subtracting 20% of a number from a number we get 12975.what was the number?
Answer:
Step-by-step explanation:
d
To simplify divide each polynomial by a number (you may need to factor the numerator and or denominator to find the common term)
1. 48x + 32y/32
2. 9a-15b/12
3. 6b+24c/18
4. 25a+5b+15c/10
show each step and break down
Answer:
The polynomial is simplified to [tex]\frac{3x+2y}{2}[/tex],[tex]\frac{3a-5b}{4}[/tex],[tex]\frac{b+4 c}{3}[/tex],[tex]\frac{5a+b+3c}{2}[/tex]
Step-by-step explanation:
Step 1 of 4
[tex]\frac{48x+32y}{32}[/tex]
[tex]=\frac{16\left(3x+2y\right)}{32}[/tex]
[tex]=\frac{16\left(3x+2y\right)}{16\cdot \:2}[/tex]
[tex]=\frac{3x+2y}{2}[/tex]
Step 2 of 4
[tex]\frac{9a-15b}{12}[/tex]
[tex]=\frac{3\left(3a-5b\right)}{12}[/tex]
[tex]=\frac{3\left(3a-5b\right)}{3\cdot \:4}[/tex]
[tex]=\frac{3a-5b}{4}[/tex]
Step 3 of 4
[tex]\frac{6b+24c}{18}[/tex]
[tex]=\frac{6\left(b+4c\right)}{18}[/tex]
[tex]=\frac{6\left(b+4c\right)}{6\cdot \:3}[/tex]
[tex]=\frac{b+4c}{3}[/tex]
Step 4 of 4
[tex]\frac{25a+5b+15c}{10}[/tex]
[tex]=\frac{5\left(5a+b+3c\right)}{10}[/tex]
[tex]=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}[/tex]
[tex]=\frac{5a+b+3c}{2}[/tex]
Learn more about polynomial, refer :
https://brainly.com/question/13769924
If f(x) = x and g(x) = 2, what is (fºg)(x)?
Step-by-step explanation:
(fog)(x) = f[g(x)]
f(g(x))
f(x-2)
since f(x) = 1 / x
answer: 1/x-2
1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined
Is 91.8 a rational or a non-rational number
Answer:
Yes. It is a rational number.
F(x)=-2x^2-3
find f(2)
Step-by-step explanation:
f(x)=-2x²-3
By replacing x with 2, we get
f(2)=-2×2²-3
=-2×4-3
=-8-3
=-11
605x25 to show the work please
Answer:
it would be 3025
Step-by-step explanation:
605
x. 5
3025
Answer:
15125
Step-by-step explanation:
605
x25
------
3025
+1210
-----------
15125