Example 1. Let us start with the functionf(x) = x2. We have

So

which means f '(a) = 2a.
What about the derivative of f(x) = xn. Similar calculations, using the binomial expansion for (x+y)n (Pascal's Triangle), yield

Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
The answer is: 4.5 cups.
The explanation is shown below:
1. You need 3 cups of milk to make 30 biscuits.
2. Therefore, to solve the exercise you only need to multiply 45 biscuits by 3 cups and divide this by 30 biscuits.
3. Let's call the cups you will need to make 45 biscuits 
. Then, you have:
4. Therefore, you will need 4.5 cups to make 45 biscuits.
Answer:
118 degrees
Step-by-step explanation:
I think you it's the same, because it a just rotation of the shape.
