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jeka94
3 years ago
12

}

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

0.1219512195122

Step-by-step explanation:

To write 10/82 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 10 by 82 what we write down as 10/82 and we get 0.1219512195122

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Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results
Andrews [41]

Answer:

Step-by-step explanation:

Given that,

g(x, y) = 5 - (x - 3)² - (y + 2)²

Let find the grad of the function,

The grad of a function is defined as

∇g= ∂g/∂x •i + ∂g/∂y •j + ∂g/∂z •k

∇g = gx•i + gy•j + gz•k

gx = -2(x-3) = -2x+6

gy = -2(y+2) = -2y -4

∇g = (-2x+6) •i + (-2y-4)•j

We have a maximum or a minimum If g conservative, then, ∇g = 0i +0j

Then comparing this to the grad of the function

(-2x+6) •i + (-2y-4)•j = 0i +0j

Then, -2x+6 = 0

2x=6

x = 3

Also, -2y-4=0

-2y=4

y = -2

Then, g(x, y) = 5 - (x - 3)² - (y + 2)²

g(x, y) = 5 - (3 - 3)² - (-2 + 2)²

g(x, y) = 5

So the critical point is (3, -2, 5)

gx =-2x+6

Second derivative of gx with respect to x

gxx=-2

gy=-2y-4

Second derivative of gy with respect to y

gyy=-2

Second derivative of gx with respect to y

gxy =0

d =gxxgyy - (gxy)²

Then, gyy=gxx

d = -2×-2 -0²

d = 4-0=4

Since d>0

Since d is greater than 0, then, it is not a chair points.

Then, since gxx=-2<0, gyy=-2<0

Cause the second derivative in x (or in y) is less than zero, then the point is relatively maximum

So the maximum point is (3, -2, 5).

6 0
3 years ago
6,300,000,000 = 6.3 x 1,000,000,000
Nonamiya [84]
No they are not

scientific notation requires writing the ' × 10^9' part as a 10 with an exponent
7 0
3 years ago
Read 2 more answers
Define and name two pairs of corresponding angles
Inga [223]

Answer:

2 corresponding to 6

3 corresponding to 7

Step-by-step explanation:

Corresponding angles just make the letter F

4 0
3 years ago
PLEASE HELP!! I do not understand this. And can you explain it for me when I use it again?
damaskus [11]
Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)

a.) When we reflect over xz plane x and z coordinates stay same, y coordinate  changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.

A(0,0,0)
Reflecting
A(0,0,0)

B(0,5,0)
Reflecting
B(0,-5,0)

C(3,5,0)
Reflecting
C(3,-5,0)

D(3,0,0)
Reflecting
D(3,0,0)


b.)
A(0,0,0)
Moving
A(-2,-3,1)

B(0,-5,0)
Moving
B(-2,-8,1)

C(3,-5,0)
Moving
C(1,-8,1)

D(3,0,0)
Moving
D(1,-3,1)
7 0
3 years ago
Nth term of -7, -12, -17, -22
frosja888 [35]

Answer:

-27,-32,-37,-42,-47

Step-by-step explanation:

5 0
3 years ago
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