Answer:
Find the attached
Step-by-step explanation:
We have been given the following expression;
(x-2)=5(x+1)
We are required to determine the graph of the solution set. To do this we formulate the following set of equations;
y = x - 2
y = 5(x+1)
We then graph these two equations on the same cartesian plane. The solution will be the point where these two graphs intersect.
Find the attachment below;
Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
or
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)