Line
is tangent to the graph of
at point
, with coordinates
)
where
. Point
has coordinates
)
. Line
crosses the x-axis at the point
, with coordinates
)
.
a) Find the value of
when
.
b) For all
, find
in terms of
.
c) Suppose that
is increasing at the constant rate of 7 units per second. When
, what is the rate of change of
with respect to time?
d) Suppose that
is increasing at the constant rate of 7 units per second. When
, what is the rate of change of the area of triangle
with respect to time? Determine whether the area is increasing or decreasing at this instant.
Please help on any and/or all of these that you can, I'd very much appreciate it! And for those of you who might ask me to show my process of thought, I honestly don't even know where to start; I'm so confused.
