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ElenaW [278]
3 years ago
15

Question

Mathematics
2 answers:
mars1129 [50]3 years ago
8 0

Answer:

x=11

Step-by-step explanation:

  • 2x+7=36
  • 2x=36-7
  • 2x=22
  • x=11
liq [111]3 years ago
7 0

Answer:

Here you go

Step-by-step explanation:

Hope this helps :)

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Savatey [412]
3/4 times 5=
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7 0
3 years ago
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A flat circular plate has the shape of the region x squared plus y squared less than or equals 1.The​ plate, including the bound
rjkz [21]

Answer:

We have the coldest value of temperature T(\frac{3}{4},0) = -9/16. and the hottest value is T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}.

Step-by-step explanation:

We need to take the derivative with respect of x and y, and equal to zero to find the local minimums.

The temperature equation is:

T(x,y)=x^{2}+2y^{2}-\frac{3}{2}x

Let's take the partials derivatives.

T_{x}(x,y)=2x-\frac{3}{2}=0

T_{y}(x,y)=4y=0

So, we can find the critical point (x,y) of T(x,y).

2x-\frac{3}{2}=0

x=\frac{3}{4}

4y=0

y=0

The critical point is (3/4,0) so the temperature at this point is: T(\frac{3}{4},0)=(\frac{3}{4})^{2}+2(0)^{2}-(\frac{3}{2})(\frac{3}{4})

T(\frac{3}{4},0)=-\frac{9}{16}    

Now, we need to evaluate the boundary condition.

x^{2}+y^{2}=1

We can solve this equation for y and evaluate this value in the temperature.

y=\pm \sqrt{1-x^{2}}

T(x,\sqrt{1-x^{2}})=x^{2}+2(1-x^{2})-\frac{3}{2}x  

T(x,\sqrt{1-x^{2}})=-x^{2}-\frac{3}{2}x+2

Now, let's find the critical point again, as we did above.

T_{x}(x,\sqrt{1-x^{2}})=-2x-\frac{3}{2}=0            

x=-\frac{3}{4}    

Evaluating T(x,y) at this point, we have:

T(-(3/4),\sqrt{1-(-3/4)^{2}})=-(-\frac{3}{4})^{2}-\frac{3}{2}(-\frac{3}{4})+2  

T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}

Now, we can see that at point (3/4,0) we have the coldest value of temperature T(\frac{3}{4},0) = -9/16. On the other hand, at the point -(3/4),\frac{\sqrt{7}}{4}) we have the hottest value of temperature, it is T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}.

I hope it helps you!

4 0
2 years ago
Someone please help me! Easy 10 points
Katyanochek1 [597]

Answer:

I can't see ;-; show close up

5 0
2 years ago
If jammy makes 4 baskets in 1/2 of an hour how much can she make in 5 hours
coldgirl [10]

Answer: 40

Step-by-step explanation: If she made 4 baskets in a half an hour then one hour she would make 8 in one hour and in 2 hours she would make 16 because 8 hours from the first hour and 8 more from the second hour. Because there is 1 hour and in the hour she made 8 if she needs 5 hours just multiply 8 by 5. That would give you 40.

4 0
3 years ago
What is 437284237940 divided by 2 - 2 times 1 -3 +42 divided by 7989
Zigmanuir [339]
The answer would be <span>27367895.7325</span>
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3 years ago
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