You have to use the equation which has just slipped my mind. It say x1-y1 over x2-y2. Then you will find x. I am so sorry this equation name slipped my mind. If I remember I will let you know.
Answer:
The length of the insect in decimeters is: 0.035 decimeters
Step-by-step explanation:
The metric table help us to know:
1 decimeter =100 millimeters
To answer the question we need to know how many decimeters are 3.5 millimeters, so:
The length of the insect in decimeters is: 0.035 decimeters
Domain: (-infinity, +infinity)
range: (0, +infinity)
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!!!
