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harina [27]
3 years ago
10

Which statement describes the graph of the function?

Mathematics
1 answer:
meriva3 years ago
5 0

Answer: A

Step-by-step explanation:

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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
5 × 4) × (16 ÷ 8) × (24 − 22) =
saw5 [17]

Answer:

80

Step-by-step explanation:

(5 * 4) = 20

(16 / 8) = 2

(24 - 22) = 2

20 * 2 * 2 = 80

7 0
3 years ago
Read 2 more answers
Two different formulations of an oxygenated motor fuel are being tested to study their road octanenumbers. The variance of road
Lyrx [107]

Answer:chomai

Step-by-step explanation:chomai

3 0
3 years ago
Need help with this question
Helen [10]

Answer:

4x+18

Step-by-step explanation:

Length = x+3+x+3

width = x+3-x= 3

perimeter = x+3+x+3+x+3+x+3+3+3=4x+18

5 0
2 years ago
Please help it’s easy, State the property that is used. 10=10•1
Molodets [167]

The property identity of multiplication is applied in the given statement.

<h3>Properties of Multiplication</h3>

The properties of multiplication are:

  • Distributive:  a(b±c)=  ab±ac
  • Comutative:   a . b = b. a
  • Associative:    a(b+c)=  c(a+b)
  • Identity: b.1=b

From the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 • 1=3.

The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.

Read more about the identity property here:

brainly.com/question/23977324

#SPJ1

5 0
1 year ago
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