Answer:
or 1.33%
Step-by-step explanation:
Answer:
(13,-6)
Step-by-step explanation:
If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.
Apply this translation T to (4,7) and you get (13,-6).
Answer:
60
Step-by-step explanation:
1 gallon is equal to 30 miles, which would mean if she uses 30 gallons of gas it would be equal to 60 since 3 x 20 equals 60
(i) Yes. Simplify
.

Now compute the limit by converting to polar coordinates.

This tells us

so we can define
to make the function continuous at the origin.
Alternatively, we have

and

Now,


so by the squeeze theorem,

and
approaches 1 as we approach the origin.
(ii) No. Expand the fraction.

and
are undefined, so there is no way to make
continuous at (0, 0).
(iii) No. Similarly,

is undefined when
.
Answer:
Step-by-step explanation:
x=-2, x=3
---------------
x^2+5x+6=(-2)^2+5(-2)+6=(-2)(-2)-10+6=4-10+6=-6+6=0
x^2+5x+6=3^2+5(3)+6=9+15+6=24+6=30
---------------------------------------------------------------
x^2-x-6=(-2)^2-(-2)-6=4+2-6=6-6=0
x^2-x-6=3^2-3-6=9-3-6=6-6=0
-----------------------------------------------------