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barxatty [35]
3 years ago
5

A flat circular plate has the shape of the region x 2 + y 2 ≤ 1. points on the plate have temperature t(x, y) = x 2 + 2y 2 − x.

find the temperatures of the hottest and coldest points of the plate
Mathematics
1 answer:
Rudik [331]3 years ago
5 0

A flat circular plate has the shape of the region x 2 + y 2 ≤ 1. points on the plate have temperature t(x, y) = x 2 + 2y 2 − x. find the temperatures of the hottest and coldest points of the plate

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What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
KengaRu [80]

Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0
3 years ago
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raketka [301]

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5 0
3 years ago
Solve by the elimination method
Usimov [2.4K]

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Step-by-step explanation:

We need to solve the system of equations by elimination method

6x= 64+2y\\2x= -7-5y

Rearranging the equations:

6x-2y=64\,\,\,eq(1)\\2x+5y=-7\,\,\,eq(2)

Eliminating y to find value of x:

Multiply eq(1) by 5 and eq(2) by 2 and add both equations:

30x-10y=320\,\,\,\\4x+10y=-14\\--------\\34x=306\\x=\frac{306}{34}\\ x=9

So, value of x= 9

Eliminating x to find value of y:

Multiply eq(1) by 2 and eq(2) by 6 and subtract both equations:

12x-4y=128\\12x+30y=-42\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\---------\\-34y=170\\y=\frac{170}{-34}\\ y=-5

So, value of y = -5

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Keywords: Solving system of equations

Learn more about Solving system of equations at:

  • brainly.com/question/13168205
  • brainly.com/question/2115716
  • brainly.com/question/3739260

#learnwithBrainly

5 0
3 years ago
Can you help me on number 1 and 3.
ddd [48]
Q= 9 D=3 N=5 those are the answers
6 0
3 years ago
Read 2 more answers
What is 4 x 4 x 4 x 4 x 4 x 4 in exponential notation?
Norma-Jean [14]

Answer:

4^{6}  

4096

Step-by-step explanation:

i tried

6 0
3 years ago
Read 2 more answers
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