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:
22 Nah I'm kidding, it's 4
Step-by-step explanation:
This was fun
In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.
<h3>What are fractions?</h3>
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.
To learn more about multiplication of fractions, please check: brainly.com/question/1114498
Answer:
Tests is 100% Accurate, so by using the formula of random variable probability.
Step-by-step explanation:
Total number of people = 10
Sample space = p(A) = 10
Number of people that have flu = n(s) = 4
Pick random 3 persons, the possibility that they have flue is n(A) = ?
Let X is the random variable, consisting of number of positive flu test,
Tests is 100% Accurate, so by using the formula of random variable probability, we get
P(X) = n (A) / n(S)
P(X) = ¾, is the probability of having positive flu test
