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3 years ago

What axis does the independent quantity go on?

1 answer:

5 0

Horizontal
The Axes. The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis

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Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022

miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

$L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)$

$f(x, y, z) = x^2+y^2+z^2$

Since we have three variables,

$L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)$

$f(4, 4, 7) = 4^2+4^2+7^2=81$

$f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14$

Therefore:

$L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)$

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of $4.02^2 + 3.99^2 + 6.97^2$ is 80.66000.

3 0

3 years ago

What is (4 x 103)(7 x 105).

Nana76 [90]

Answer:

302,820

Step-by-step explanation:

(4 x 103) x (7 x 105)

412 x 735

4 0

3 years ago

This needs to be answered right now

Vikki [24]

Answer:

A=πr2 is the formula of pi so

it would be A=3.14*100

or 3.14*10^2

3.142 is not pi

and 20 is not 10^2

Step-by-step explanation:

4 0

3 years ago

The Johnson family pays 1,783 per month for rent. If the cost of their rent remains the same, how much will they pay for rent ov

irinina [24]

Answer:

1 year= 12 months

1 months rent=1783

1783x12=21396

15 years = 180 months

the equation would be

1783x180=320940

21396x15= 320940

6 0

3 years ago

To derive the standard formula of a circle, a radius r is constructed as the hypotenuse of a right triangle as shown. On a coord

vlabodo [156]

Answer:

The answer is "x-h and y-k".

Step-by-step explanation:

The center is (h, k) with E (x, y) point, and its length of the legs used during extracting the standard circle equation should be found. Its right triangle length base is (x-h) units, as well as the right triangle's length, is (y-k). So, these are the required leg lengths, that's why the above-given points are correct.

4 0

3 years ago