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vodomira [7]
3 years ago
6

In a quiz just some middle school work anyone who can help me plsss

Mathematics
1 answer:
Alexxx [7]3 years ago
3 0

わからない、ごめんなさい。ポイントが欲しかったです笑

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Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane
liraira [26]

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

P = (\frac{1}{2}, \frac{\sqrt 3}{2})

Answer:

Rate = 0.935042^\circ /cm

Step-by-step explanation:

Given

P = (\frac{1}{2}, \frac{\sqrt 3}{2})

T(x,y) =x\sin2y

r = 1m

v = 2m/s

Express the given point P as a unit tangent vector:

P = (\frac{1}{2}, \frac{\sqrt 3}{2})

u = \frac{\sqrt 3}{2}i - \frac{1}{2}j

Next, find the gradient of P and T using: \triangle T = \nabla T * u

Where

\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})}  = (sin \sqrt 3)i + (cos \sqrt 3)j

So: the gradient becomes:

\triangle T = \nabla T * u

\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] *  [\frac{\sqrt 3}{2}i - \frac{1}{2}j]

By vector multiplication, we have:

\triangle T = (sin \sqrt 3)*  \frac{\sqrt 3}{2} - (cos \sqrt 3)  \frac{1}{2}

\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)

\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5

\triangle T = 0.935042

Hence, the rate is:

Rate = \triangle T = 0.935042^\circ /cm

3 0
2 years ago
Y’all I need help, MATH, please correct answer and how you did it:)
Y_Kistochka [10]
21 I think I'm not sure tho
8 0
3 years ago
Read 2 more answers
Have I worked out the following right:
Studentka2010 [4]

Answer: I think the answer is 173.25


Step-by-step explanation:

To find that you have to times them.

15.0*11.55 = 173.25


6 0
3 years ago
Which of the following equations describes the line shown below? (1, 10) (-3, 2)
Greeley [361]
(1,10)(-3,2)
slope = (2-10) / (-3-1) = -8/-4 = 2

y = mx + b
slope(m) = 2
(1,10)...x = 1 and y = 10
now we sub and solve for b, the y int
10 = 2(1) + b
10 = 2 + b
10 - 2 = b
8 = b

equation is : y = 2x + 8.....or 2x - y = -8
8 0
3 years ago
I NEED HELP LIKE REALLY REALLY FAST
damaskus [11]

Answer:

56 inches I believe.

I'm not 100% sure.

3 0
3 years ago
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