Answer:
Step-by-step explanation:
we want to figure out the point "M" which is on a segment with endpoints X(1,-2) and Y(10,3) partitions the segment in a 4:1 ratio.
to find so, we can consider <u>section</u><u> </u><u>formula</u><u> </u>. we know that <em>Section formula is used to find the ratio in which a line segment is divided by a point internally or </em><em>externally </em> the ratio is written as m:n
however in this case the following formula can be used used:
step-1: assign variables
assign variables:
step-2: substitute
simplify multiplication:
simplify addition:
simplify division:
hence,
Answer:
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Find the first derivatives:
.
Solve the system
:
. The second equation has solutions
and then
and you have two points
.
Find the first derivatives:
and calculate
.
Since
and
,
is a point of maximum and
.
Since
and
,
is a point of minimum and
.
See the attached picture: