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3 years ago

Which of the following represents a function?

Mathematics

1 answer:

zhuklara [117]3 years ago

3 0

The fourth one since it will pass the vertical test.

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Question 7 (1 point)

svetlana [45]

Answer:

V=lwh=5 x 9 x 3=135cm+33=4

Step-by-step explanation:

4 0

3 years ago

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

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

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

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

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

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

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

3 years ago

I need help with the question above please????

ZanzabumX [31]

Answer:

Step-by-step explanation:

x^2=64 is equal to x1= -8 and x2=8. meaning that x^2=64 has two answers and number line B shows both points of -8 and 8.

7 0

3 years ago

Read 2 more answers

Angelina has a fish tank in the shape of a rectangular prism. The fish tank is 20 inches long, 7 inches wide, and 12 inches tall

igor_vitrenko [27]

Answer: 1680 inches cubed

Step-by-step explanation:

Volume = Length x Width x Height

V = 20 x 7 x 12

V = 140 x 12

V = 1680 inches cubed

8 0

3 years ago

Help me please<br> thx so much<br> have a good one

Crazy boy [7]

Associative property of multiplication

5 0

3 years ago