Answer:
The unit vector in component form is
or
.
Step-by-step explanation:
Let be
, its unit vector is determined by following expression:

Where
is the norm of
, which is found by Pythagorean Theorem:


Then, the unit vector is:


The unit vector in component form is
or
.
3x -1/2y = -7/2
x = -2y + 1
3 (-2y + 1) -1/2y = -7/2
-6y +3 -1/2y = -7/2
-13/2y = -13/2
y = 1
x = -2(1) + 1
x = -1
Answer = (-1, 1)
Answer:
For
the function f(x) is continuous on
.
Step-by-step explanation:
We have the following function

For the function f(x) to be continuous on
it is sufficient to have continuity at x = 6, we need to ensure that as x approaches 6, the left and right limits match, this means that
,
which holds if and only if

namely if
.