Hey there, Lets solve this problem together.
The First step is to line up the numbers.
<span>We calculate </span>

<span>the result of which is </span>

<span>
</span>
<span>We calculate </span>

<span> the result of which is </span>

<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate

, and the result is

.
<span>We calculate </span>

<span> the result of which is</span>

<span>.
</span>
Therefore,
Answer:
2(2/5x+2)= 2*2/5x + 2*2= 4/5x+4
Answer:
(2,-1)
Step-by-step explanation:
Multiply first equation by 2:
10x + 2y = 18
Subtract the second equation from this so that the 2y terms cancel:
10x - 3x = 18 - 4
7x = 14
x = 2
Plug into first equation to find y:
5(2) + y = 9
10 + y = 9
y = -1
The answer is (2,-1)
Let
. The tangent plane to the surface at (0, 0, 8) is

The gradient is

so the tangent plane's equation is

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by
, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

or
,
, and
.
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
Answer:
9.02 x 10^6
Step-by-step explanation:
hope this helps!