Answer:
njnjfsdnjfe
Step-by-step explanation:
Solve the system using substitutions:

x has a value of 1. Use this value to find the value of y.

y has a value of 1.
x=1
y=1
Answer:
Step-by-step explanation:
12t2 - 6t
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:
3.9
Step-by-step explanation:
The retained earnings for the year is $205,000
The firm paid out $185,000 in cash dividend
It has total equity of$4.90 million
100,000 common shares are outstanding
Therefore the earnings per share van be calculated as follows
= 205,000+185,000/100,000
= 390,000/100,000
= 3.9
Hence the earnings per share is $3.9