Answer:
36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes.
Step-by-step explanation:
The roller coaster can accommodate 9 riders every 4 minutes. 36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes all follow the common ratio.
Answer:
One of the two professor mentioned in Beyond Beats and Rhymes is William Jelani Cobb
Step-by-step explanation:
Beyond Beats and Rhymes is a documentary movie made in 2006 that was focus on the issues of sexism, homophobia, violence and masculinity in HIP-HOP music genre the movie starred Carmen Ashurst-Watso , Clipse , Fat Joe and other Hip Hop artistes and was directed by Byron Hurt
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!!!
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