There was a study done on oxygen consumption of snails as a function of pH, and the result was a degree 4 polynomial whose graph is shown.

Which of the following statements about this function is INCORRECT?​

Answer:

[tex]\frac{56}{15}[/tex]

Step-by-step explanation:

Given that [tex]\vec F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k[/tex]

F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k

The flux of \vec F across the surface S is given by

[tex]\int \int _s \vec F \cdot dS[/tex]

Where the survare S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and  x + 4y + z = 4.

Now, by using the Gauss Divergence theorem:

[tex]\int \int _s \vec{F} \cdot dS=\int \int \int _v \bigtriangledown \cdot \vec F dV[/tex]...(i)

where V is the volume enclosed by the surface S and [tex]dV=dxdydz[/tex]

\bigtriangledown \cdot \vec F = \hat i \frac {\partial \vec F}{\partial x}+\hat j \frac {\partial \vec F}{\partial y}+\hat k \frac {\partial \vec F}{\partial z}

=2xy+2xy+3xy=7xy

Putting this value in equation (i), we have

\int \int \int _v \bigtriangledown \cdot \vec F dV = \int \int \int _v (7xy)dxdydz

= [tex]7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} \left( \int_{z=0}^{z=4-x-4y}xy\;dz\right)dxdy[/tex]

[tex]=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} xy(4-x-4y-0)dxdy \\\\=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y}(4xy-x^2y-4xy^2)dxdy \\\\=7\int_{y=0}^{y=1} (2x^2y-\frac 1 3 x^3y-2 x^2y^2)|_{x=0}^{x=4-4y}dy \\\\[/tex]

[tex]=7\int_{y=0}^{y=1} (2(4-4y)^2y-\frac 1 3 (4-4y)^3y-2 (4-4y)^2y^2)dy[/tex]

[tex]=7\int_{y=0}^{y=1} (32(1-y)^2y-\frac {64}{3} (1-y)^3y-32(1-y)^2y^2)dy[/tex]

[tex]=7\int_{y=0}^{y=1} (32(1-2y+y^2)y-\frac {64}{3} (1-y^3-3y+3y^2)y-32(1-2y+y^2)y^2)dy[/tex]

[tex]=7\int_{y=0}^{y=1} \{32(y-2y^2+y^3)-\frac {64}{3} (y-y^4-3y^2+3y^3)-32(y^2-2y^3+y^4)\}dy[/tex]

[tex]=7 \{32(\frac 1 2 y^2- \frac 2 3 y^3+\frac 1 4 y^3)-\frac {64}{3} (\frac 1 2 y^2-\frac 1 5 y^5-y^3+\frac 3 4 y^4)-32(\frac 1 3 y^3-\frac 1 2 y^4+\frac 1 5 y^5)\} |_{y=0}^{y=1}[/tex]

[tex]=7 \{32(\frac 1 2 - \frac 2 3 +\frac 1 4 )-\frac {64}{3} (\frac 1 2 -\frac 1 5 -1+\frac 3 4 )-32(\frac 1 3 -\frac 1 2 +\frac 1 5 )\}[/tex]

[tex]=7\times \frac {8}{15} \\\\=\frac{56}{15}[/tex]

Hence, the flux of F across S is [tex]\frac{56}{15}[/tex].

Answer:

Step-by-step explanation:

m * 2 = 38

Equation: 2m = 38

Solution:

2m = 38

 m = 38/2

m = 19

Malik's score = 19

Answer:

38 is the product of Malik's score and 2. Use the variable m to represent Malik's score

Marks scored by Malik

The equation will be

[tex] \frak{2m = 38}[/tex]

Total marks

[tex] \tt \: m \: = \dfrac{38}{2} [/tex]

[tex] \tt \: m \: = 19[/tex]

The marks scored by Malik is 19

Answer:

(9,-4)

Step-by-step explanation:

its right hope it's helpful

Answer:

This is way out of my level sorry. Thanks me

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

math

Answer:

62??

Step-by-step explanation:

Answer: 1,632

Step-by-step explanation:

you have to multiply 68 and 24 and when you do so, you'll get 1,632 as your answer.

Answer:

x = 4, y = 0

Step-by-step explanation:

Two find x and y, we can simply solve one of the two equations for one of the variables, and substitute it into the other.  That will provide one of the two values, which can then be plugged into either equation for the other value.  Let's do it:

[tex]2x - y = 8\\y = 2x - 8\\\\x + 3y = 4\\x + 3(2x - 8) = 4\\x + 6x - 24 = 4\\7x = 28\\x = 4\\\\y = 2x - 8\\y = 2(4) - 8\\y = 0[/tex]

So x is equal to four, and y is equal to zero.

Properties of Exponential Function for Roots.

[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]

The first one is wrong as 4^1/2 would equal √4 = 2

The second choice is correct.

The third choice is correct because ∛8 = 2 and √4 also = 2

The fourth choice is wrong because √8 = 2√2

The fifth choice is also wrong because 2^1/2 would be √2 while √32 is 2^5

The sixth choice is 3^3/2 which would equal √27 = 3√3 which is correct.

Answer:

25+24h=145

Step-by-step explanation:

Answer:

17%

Step-by-step explanation:

If 30% of the school is girls and 10% wear glasses, that means that at least 3% of the school wears glasses. (10 percent of 30%) If 70% of the school is boys and 20% of boys wear glasses, at least 14% of the school wears glasses. (20% of 70%) If you add both of those numbers together it adds up to 17%.

Answer:

D. 24

Step-by-step explanation:

multiply length times width to get area

Answer:

580×3.1 =17980 miles is answer

Answer:

15-(-26)

Step-by-step explanation:

positive is lower than negative so the remaining number will be negative.

Answer:

d.-79/200

Step-by-step explanation:

Answer:(A)

Source:trust me bro

Answer:

-The latitude and longitude lines on maps of the Earth

-Planning where to place different pieces of furniture in a room

The real life application of coordinate plane are ; Digital, location in airports, Map projection, GPS, Latitude and Longitude and many more.

A coordinate plane is a tool used for graphing points, lines, and other objects.

Some real life applications are:

Digital World

In this, any PDF file we open are created according to 2-D coordinates (x, y), all the concepts like distances, slopes and trigonometry are applicable in this.

Location of Air Transport

In this, air traffic are mainly managed by coordinates study, to find the location of a particular location for any change in location of a plane it is used.

Map Projections

The points usually provides the frame of references for your data, to locate the position on the surface of earth.

GPS

We use GPS for any specific location identifier on the earth which we get in the form of coordinates, these are points showing the asked location.

Latitude and Longitude

These are the parameter used to locate any specific point on the earth, Latitude and Longitude are always defined by a point, they constitute a coordinates system to identify any geographical location.

For more references on coordinate plane, click;

https://brainly.com/question/13611766

#SPJ2

Answer:

12 rolls

Step-by-step explanation:

2 dozen is 24 so if he used a dozen which is 12 then he would have 12 left

Answer:

F

Step-by-step explanation:

Answer:

I think it would be a

Step-by-step explanation:

I think it would be a because when you divide by a negative number the sign flips

Answer:

43 - 15x

is the answer

Answer:

-15x + 43

Step-by-step explanation:

8-5(3x-7)

8-15x+35

-15x+43

Answer:

An airplane which has airspeed of 575 hm/hr head directly east the win is blowing with a velocity of 8.20 km/hr

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1 person cost $112. 2 people cost $224. Chandre is one person already making room only for 1 other friend.

Mean (average) - add all numbers up and divided by the number of addends

Mean = 46.19047619 (50)

Median - arrange numbers in numerical order, and find the one in the middle

Median = 35

Mode - number that appears the mode

Mode = 80

Range - difference between biggest and smallest number

Range = 80

~theLocoCoco

Answer:

  ¹9.2

 +7.9

¹ 17.1

 +5.0

 22.1

21.1 miles

Answer:

30 markers

Step-by-step explanation:

We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!

Answer:

9

Step-by-step explanation:

use a calculator of just think about it

Answer:

9.00

Step-by-step explanation:

Answer:

$120 per pound

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

Since n is 3 units from 1 1/2 you would subtract 3 - 1 1/2 to find how much more n is from 1 1/2 to get to 3. Hope this helps! :)

Answer:

1 and 3 would be correct

Step-by-step explanation: