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choli [55]
3 years ago
13

B/4 +2 = -1 what is the value of b

Mathematics
1 answer:
trapecia [35]3 years ago
7 0

Answer:b= -12

Step-by-step explanation:

b/4 + 2 = -1

First subtract 2

b/4 = -3

Then multiply by 4

b= -12

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Given, complex number is 10+5i .

We need to find sum of the given complex number and its conjugate. The conjugate of 10+5i is 10-5i. Therefore, the sum will be 10+5i+10−5i=20.

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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
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