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2 years ago

If the domain of the coordinate transformation (, ) = ( + 2,− − 4) is (1, -4), (3, -2), (0, −1), what is the range?

Mathematics

1 answer:

timama [110]2 years ago

8 0

Answer:

A. (-2, -5), (0, -7), (1, -4)

Step-by-step explanation:

The following transformation is applied:

$(x,y) \rightarrow (y + 2, -x - 4)$

To find the range:

We apply the transformation to the points in the domain. Thus:

$(1,-4) \rightarrow (-4 + 2, -1 - 4) = (-2, -5)$

$(3,-2) \rightarrow (-2 + 2, -3 - 4) = (0, -7)$

$(0,-1) \rightarrow (-1 + 2, 0 - 4) = (1, -4)$

Thus the correct answer is given by option a.

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Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

$f_z(x,y,z)=-4x\cos (y-z)$

Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

4 0

3 years ago

Find the sum of the first 9 terms of the sequence. Show all work for full credit.

Kamila [148]

We can see the sequence goes by decreasing 9 on each number

so the numbers are

2, -7, -16, -25, -34, -43, -52, -61, -70

so adding all these numbers we get

2-7-16-25-34-43-52-61-70

= -306

hope this helped

6 0

3 years ago

sunscreen is priced at $10 per bottle plus 8% tax if Tanya purchases a bottle of sunscreen with a $20 bill then what is her chan

alina1380 [7]

$9.20

10*1.08 is 10.80. 20 - 10.80 is 9.20.

3 0

3 years ago

Read 2 more answers

Which is an equivalent form of the expression 1800(1.2)^-t

ololo11 [35]

Answer:

1800(5/6)^t

Step-by-step explanation:

I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.

7 0

1 year ago

Hiro and his co-workers had lunch at a restaurant near their work. An 18% tip on their bill was $10.08. How much was the bill, n

Ghella [55]

Answer:

$8.27

Step-by-step explanation:

First we need to find the tip. We know it was 18% of the total. So...

x (the variable we need to find) 18%

__ = ___

10.08 (the total bill including tip) 100%

cross multiply

100x = 181.44

-------------------- (divide by 100 to get x by itself)

100

x = 1.81 (The 18% tip that was given)

So now we know how much the tip was, we subtract it from the bill

10.08 - 1.81 = $8.27

5 0

2 years ago