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KIM [24]
3 years ago
7

Whitney has £12 pocket money.

Mathematics
1 answer:
DiKsa [7]3 years ago
6 0

Answer:

4.002

Step-by-step explanation:

12 x (.5) = 6

6 x (.667) = 4.002

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Evaluate the surface integral. S xz ds, s is the part of the plane 2x 2y z = 4 that lies in the first octant
maksim [4K]

The value of the given surface integral is 4.

The given plane intercepts the coordinate axes at (2, 0, 0), (0, 2, 0), and (4, 0, 0). These point are the coordinates of a triangular region that we can parameterize using.

S(u,v)=(1-u)((1-u)(2,0,0)+u(0,2,0)+u(4,0,0)\\S(u,v)=(2(1-u)(1-v),2u(1-v),4v)

<h3>What is the surface integral?</h3>

A surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate a scalar field over the surface or a vector field.

with 0≤u≤1 and  0≤v≤1. Then the surface element ds  is equivalent to

ds=\||\:\left(s_u\times \:\:S_v\right)||dudv=12\left(1-v\right)dudv

The surface integral is then

\int \:\int \:_Sxzds=12\int _0^1\:\int _0^1\:\left(2\left(1-u\right)\left(1-v\right),2u\left(1-v\right),4v\right)dvdu=4

Therefore the value of the given surface integral is 4.

To learn more about the integral visit:

brainly.com/question/14295614

#SPJ2

6 0
2 years ago
The sum of two numbers is twice their difference. The larger number is 2 more than twice the smaller
Alexandra [31]

The larger number is 6 and the smaller one is 2.


7 0
3 years ago
List 0.5 1/5 0.35 12/25 4/5 from least to greatest
Anika [276]
One way is to make them all decimals or all fractions:

.5   .2  .35  .48  .80  are the numbers above changed to decimals.
I will make them the same length (two digit past the decimal point) to compare
.50   .20  .35  .48 and .80

Now it is easy to put them in order

.2  .35  .48   .5  and .80

Let's put them into all fractions

5/10   1/5   35/100   12/25 and 4/5

Instead of finding a common denominator let's try this:
Think of them as test scores - the person who got 1 out 5 did the worst
Next came the person who got only 35 out of 100 - they only did better than the one above (1/5)
12/25 is almost 1/2 but a little below half the questions right
5/10 is exactly half the questions right (so it is bigger than 12/25 by a little).
4/5 is the best score (and the only one who passed).
So 1/5, 35/100, 12/25, .5 and 4/5 are in order least to greatest and match the answer above in bold.
3 0
4 years ago
Read 2 more answers
On a school trip, the ratio of the teachers to students is 2:21. The ratio boys to girls is 4:3. If there are 18 girls girls on
Alexandra [31]

Answer:

4

Step-by-step explanation:

Let's say B is the number of boys and T is the number of teachers.

T / (B + 18) = 2/21

B/18 = 4/3

Solve the second equation for B.

B = 24

Plug into the first equation to find T.

T / (24 + 18) = 2/21

T = 4

6 0
3 years ago
How do you add and subtract fractions??
Semenov [28]
To add fractions they're suppose to have the same base or denominator then u add the top

To subtract it's the same but u subtract the top
5 0
3 years ago
Read 2 more answers
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