Answer:
482
Step-by-step explanation:
Their 2nd difference is 12
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:
<u>3.4</u>
Step-by-step explanation:
Converting all terms to multiples of 10³ :
- 4 × 10² + 3 × 10³
- 0.4 x 10³ + 3 x 10³
- (0.4 + 3) × 10³
- <u>3.4</u> × 10³
Answer:
Shakespeare uses the language of the characters to achieve this multifaceted quality. Through the use of language (specifically Iago, Othello, and Desdemona), Shakespeare propels the plot, engages the audience, creates dramatic irony, and reveals the characters’ psyches.
Answer:
A) 12.
Step-by-step explanation:
Plug in 12 for x in the given equation:
x/4 + 9 = x
(12)/4 + 9 = 12
Simplify. Remember to follow PEMDAS. First, divide, then add:
(12/4) + 9 = 12
(3) + 9 = 12
12 = 12 (True).
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