Answer:
π/8
Step-by-step explanation:
∫₂°° dx / (4 + x²)
If x = 2 tan u, then dx = 2 sec²u du.
When u = π/4, x = 2. As u approaches π/2, x approaches ∞.
∫ (2 sec²u du) / (4 + 4 tan²u)
½ ∫ (sec²u du) / (1 + tan²u)
½ ∫ (sec²u du) / sec²u
½ ∫ du
½ (π/2 − π/4)
π/8
Answer:
One solution.
Step-by-step explanation:
Step 1: Write equation
5(x + 2) - 3 = 3x - 8x + 7
Step 2: Solve for <em>x</em>
<u>Distribute 5:</u> 5x + 10 - 3 = 3x - 8x + 7
<u>Combine like terms:</u> 5x + 7 = -5x + 7
<u>Add 5x to both sides:</u> 10x + 7 = 7
<u>Subtract 7 on both sides:</u> 10x = 0
<u>Divide both sides by 10:</u> x = 0
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
5(0 + 2) - 3 = 3(0) - 8(0) + 7
5(2) - 3 = 7
10 - 3 = 7
7 = 7
Answer: D.
Step-by-step explanation:
The associative property of addition states that numbers can be added together regardless of how they are grouped.
Answer A shows a property of multiplication.
Answer B shows the additive identity property.
Answer C shows the commutative property.
However, answer D shows that the numbers can be added regardless of how they are grouped.
<h3>
Answer: C) 2</h3>
The term 2 is really the same as 2*1 = 2x^0. Recall that anything (except 0) to the zeroth power is 1. So the rule is x^0 = 1 when x is nonzero.
Looking at 2x^0, we see that 2 is the coefficient here because it is the constant being multiplied with the variable term.
