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3 years ago

Uh some math question..

Mathematics

1 answer:

adelina 88 [10]3 years ago

7 0

Answer: 8 groups is the largest number of groups he can make

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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 the value of 0 in 37.0691

Andrew [12]

Answer:

The value of 0 is 0 - If you want to round its 37.1

Step-by-step explanation:

The value of 0=0

0 $\neq$ any other # besides zero

if you are wanting to round, you can round to the tenths place and say that 37.06 rounds up to 37.1

7 0

3 years ago

Read 2 more answers

Please help and explain

Nikitich [7]

9514 1404 393

Answer:

d. f(2) < g(2)

Step-by-step explanation:

The attached table and graph shows how the functions relate for the various x-values of interest. The true statement is ...

f(2) < g(2)

-3 < 0

5 0

3 years ago

This table gives a few (x,y) pairs of a line in the coordinate plane

blagie [28]

Answer:

The x-intercept of the line is the point (12,0)

Step-by-step explanation:

step 1

Find the slope of the lime

Take the points

(22,36) and (32,72)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{72-36}{32-22}$

$m=\frac{36}{10}$

$m=3.6$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=3.6$

$point (22,36)$

substitute

$y-36=3.6(x-22)$

step 3

Find the x-intercept

we know that

The x-intercept of a line is the value of x when the value of y is equal to zero

For y=0

substitute in the equation and solve for x

$0-36=3.6(x-22)$

$0-36=3.6x-79.2$

$3.6x=79.2-36$

$3.6x=43.2$

$x=12$

therefore

The x-intercept of the line is the point (12,0)

7 0

3 years ago

Put the equation y =x^2-8x + 12 into the form y(x-h)^2+k Answer: y =

zlopas [31]

Answer:

y = (x - 4)² - 4

Step-by-step explanation:

y = x² - 8x + 12

y = ( x² - 2(4)x + 4² ) - 4² + 12

y = (x - 4)² - 4

7 0

3 years ago