1st week - Lost 3 pounds = +3
2nd week - Gained 1 pound = -1
3+13 = + 22
So 22+3 = 25 25-1 = 24
So Tina lost 24 pounds in 13 weeks.
Answer:
Step-by-step explanation:
D is the answer
Answer:
Step-by-step explanation:
b.
an=an-1+3
C.
when x=15
y=3×15-2=45-2=43
a15=43
First take the amount of drinks and popcorn needed then multiply the amount by the price then see if she has enough money when you finish the multiplying.
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!!!
