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].
Answer: 44
Step-by-step explanation:
1/5 of the slab are grey implies that 4/5 are yellow.
The ratio of grey to yellow is thus given as :
1/5 : 4/5
which is 1 : 4
Therefore , the ratio of grey to yellow is 1: 4
The total ratio = 1 + 4 = 5
To calculate the number of yellow , we use the formula
number of yellow = 
X total number of slabs , that is
number of yellow = 
X 55
number of yellow slab = 44
Take the 4cm side and the 6cm side.
If you hook them together at one end, then there's no way they can reach the ends of the 11cm side. The farthest they can reach is 10cm.
That's what choice-B says.
C=10cm
Have a great day, I hope this helps.
