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2 years ago

10

How do you solve

\div 4 = " align="absmiddle" class="latex-formula">
923÷4

1 answer:

IgorC [24]2 years ago

8 0

230.75 hope this helps :)

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Suppose a change of coordinates T:R2→R2 from the uv-plane to the xy-plane is given by x=e−2ucos(5v), y=e−2usin(5v). Find the abs

anzhelika [568]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The solution is $\frac{\delta (x,y)}{\delta (u, v)} | = 10e^{-4u}$

Step-by-step explanation:

From the question we are told that

$x = e^{-2a} cos (5v)$

and $y = e^{-2a} sin(5v)$

Generally the absolute value of the determinant of the Jacobian for this change of coordinates is mathematically evaluated as

$| \frac{\delta (x,y)}{\delta (u, v)} | = | \ det \left[\begin{array}{ccc}{\frac{\delta x}{\delta u} }&{\frac{\delta x}{\delta v} }\\\frac{\delta y}{\delta u}&\frac{\delta y}{\delta v}\end{array}\right] |$

$= |\ det\ \left[\begin{array}{ccc}{-2e^{-2u} cos(5v)}&{-5e^{-2u} sin(5v)}\\{-2e^{-2u} sin(5v)}&{-2e^{-2u} cos(5v)}\end{array}\right] |$

$Let \ a = -2e^{-2u} cos(5v), \\ b=-2e^{-2u} sin(5v),\\c =-2e^{-2u} sin(5v),\\d=-2e^{-2u} cos(5v)$

So

$\frac{\delta (x,y)}{\delta (u, v)} | = |det \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] |$

=> $\frac{\delta (x,y)}{\delta (u, v)} | = | a * b - c* d |$

substituting for a, b, c,d

=> $\frac{\delta (x,y)}{\delta (u, v)} | = | -10 (e^{-2u})^2 cos^2 (5v) - 10 e^{-4u} sin^2(5v)|$

=> $\frac{\delta (x,y)}{\delta (u, v)} | = | -10 e^{-4u} (cos^2 (5v) + sin^2 (5v))|$

=> $\frac{\delta (x,y)}{\delta (u, v)} | = 10e^{-4u}$

7 0

2 years ago

What is the solution to the equation below? Round your answer to two

noname [10]

Answer:

D. x=5

The answer is x=4.50 then it is rounded off to 5. So, the answer is 5.

Step-by-step explanation:

Find the domain of the inequality: $2x-1\geq 0$

Rearrange terms to the left side of the equation: $2x\geq 1$

Divide both sides of the inequality by the coefficient of the variable:

=> $x\geq \frac{1}{2}$

The domain of the inequality is: $x\geq \frac{1}{2}$

Convert logarithm to exponential form: $2^{3}=2x-1$

Calculate the power: $8=2x-1$

Rearrange terms to the left side of the equation: $-2x= -8-1$

Calculate: $-2x=-9$

Divide both sides of the equation by the coefficient of the variable: $x=\frac{-9}{-2}$

=> $x=\frac{9}{2}$

=> $x=4.5\\$

Round the number: $x=4.50$

Answer: $x=4.50$

=> $x=5$

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5 0

1 year ago

What is the distance between the points (4, 6) and (5, 3)? Write the answer in simplest radical form.

frez [133]

Answer:

$\sqrt{10} \: \: units$

Step-by-step explanation:

$\sqrt{(6 - 3)^{2 } + (4 - 5)^{2} }$

$\sqrt{9 + 1}$

$\sqrt{10}$

= 3.16 units

7 0

2 years ago

fiona is heating water for a science experiment.the temperature of the water increases 4/5 of a degree every 2/5 of a minute.how

Scilla [17]

Answer:

4/5:2/5 = ratio of degrees to time

2/5*2.5 = 1 min

4/5*2.5 = 10/5 = 2

2 degrees every min

Step-by-step explanation:

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2 years ago

HURRY plzz Identify to corresponding side to side HG.

a_sh-v [17]

Answer:

it would be EC (B)

Step-by-step explanation:

5 0

2 years ago

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