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nadezda [96]
3 years ago
6

1) Alexandra has $200 invested in the stock market. Her broker predicts that this investment will

Mathematics
1 answer:
garri49 [273]3 years ago
5 0
4800 have a great day
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Elephants drink 225 liters of water a day how many liters for 2 days
Mama L [17]
225 * 2 = 450
If the elephant drinks 225 liters of water a day it would wrong 450 liters of water in 2 days because 225 * 2 = 450
6 0
3 years ago
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Suppose F⃗ (x,y)=(x+3)i⃗ +(6y+3)j⃗ . Use the fundamental theorem of line integrals to calculate the following.
Scorpion4ik [409]

In order to use the fundamental theorem of line integrals, you need to find a scalar potential function - that is, a scalar function <em>f(x, y)</em> for which

grad <em>f(x, y)</em> = <em>F</em><em>(x, y)</em>

This amounts to solving for <em>f</em> such that

∂<em>f</em>/d<em>x</em> = <em>x</em> + 3

∂<em>f</em>/∂<em>y</em> = 6<em>y</em> + 3

Integrating both sides of the first equation with respect to <em>x</em> gives

<em>f</em> = 1/2 <em>x</em> ^2 + 3<em>x</em> + <em>g(y)</em>

Differentiating with respect to <em>y</em> gives

∂<em>f</em>/∂<em>y</em> = d<em>g</em>/d<em>y</em> = 6<em>y</em> + 3

Solving for <em>g</em> gives

<em>g</em> = ∫ (6<em>y</em> + 3) d<em>y</em> = 3<em>y</em> ^2 + 3<em>y</em> + <em>C</em>

and hence

<em>f(x, y)</em> = 1/2 <em>x</em> ^2 + 3<em>x</em> + 3<em>y</em> ^2 + 3<em>y</em> + <em>C</em>

<em />

(a) By the fundamental theorem, the integral of <em>F</em> along any path starting at the point <em>P</em> (1, 0) and ending at <em>Q</em> (3, 3) is

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (3, 3) - <em>f</em> (1, 0) = 99/2 - 7/2 = 46

(b) Now we're talking about a closed path, so the integral is simply 0. We can verify this by checking the integral over the origin-containing paths:

• From the origin to <em>P</em> :

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (1, 0) - <em>f</em> (0, 0) = 7/2 - 0 = 7/2

• From <em>Q</em> back to the origin:

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (0, 0) - <em>f</em> (3, 3) = 0 - 99/2 = -99/2

Then the total integral is 7/2 + 46 - 99/2 = 0, as expected.

6 0
3 years ago
Someone help me. Please answer correctly
Goryan [66]
I believe that the answer is 14 or 7
8 0
3 years ago
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Divers in a competition are scored by an international panel of judges. The highest and the lowest scores are dropped. The total
Fudgin [204]

From the statements given in the problem, we can say that:

 

Final Score = (total of the remaining scores) * degree of difficulty * 0.6

 

Therefore:

97.2 = (total of the remaining scores) * 4.0 * 0.6

total of the remaining scores = 40.5

 

Therefore the judges could have scored which has a total of 40.5

6 0
3 years ago
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What is the five number summary for the data set 0,2,2,4,5,5,5,5,7,11
dimaraw [331]

Answer:

The median/middle is 5 and the minimum is 0 and the maximum is 11. The first quartile is 7/5= 1.4 and the second is 4/2 = 2

Step-by-step explanation:

7 0
2 years ago
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