<span>y = 10x * sin(x)
y' = 10 * (x * cos(x) + sin(x))
x = pi/2
y' = 10 * ((pi/2) * cos(pi/2) + sin(pi/2)) = 10 * ((pi/2) * 0 + 1) = 10 * 1 = 10
y - 5pi = 10 * (x - (pi/2))
y - 5pi = 10x - 5pi
y = 10x</span>
Answer:
.
Step-by-step explanation:
Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to
. Make use of the power rule to find the following:
.
.
The question states that the graphs of
and
touch at
, such that
. Therefore:
.
On the other hand, since the graph of
and
coincide at
,
(otherwise, the two graphs would not even touch at that point.) Therefore:
.
Solve this system of two equations for
and
:
.
Therefore,
whereas
.
Substitute these two values back into the expression for
and
:
.
.
Evaluate either expression at
to find the
-coordinate of the intersection. For example,
. Similarly,
.
Therefore, the intersection of these two graphs would be at
.
The selling price would be $87.50 originally!
I hope this helped! Mark me Brainliest! :) -Raven❤️
Answer:
-2+5*2= -2+10/4
You get 8/4 which is 2
Step-by-step explanation: