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).)
Answer:
2444
Step-by-step explanation:
The total cost is the integral of the marginal cost.

The total cost of producing units 144 through 625 is 2444.
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If all you need is a number, a graphing calculator can give you that.
Answer:
2282 tablespoons
and 1 teaspoon
Step-by-step explanation: