Answer:
I think the answer is B
Step-by-step explanation:
32 is a composite number. Prime numbers have no other factors except 1 and the number itself. Composite numbers have more factors than just 1 and the number itself. 32 has the following factors:1,2,3,8,16,32. It has more factors than just 1 and 32 and so 32 is a composite number. Hope this helps.
The function is the Sine Curve
y = sine (x)
Answer:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.
Step-by-step explanation:
In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.
Let u = 1 + sin(x).
This means du/dx = cos(x). This implies dx = du/cos(x).
Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.
∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))
= ∫(u^(-1/2) * du). Integrating:
(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.
Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!
Answer:
Step-by-step explanation:
7). Since the points J, K and L are on a same line, these points are collinear.
8). Point M is a point which is on the same plane with the points J, K and L but it is not collinear as the points J, K, and L are.
9). Points J, K, L and M are on the same plane (horizontal plane) but point N is not coplanar with these points.
10). Since a plane is named using 3 points lying on it. Therefore, JKL is the appropriate name of the given plane with these points.