Hi there!
To find the indefinite integral, we must integrate by parts.
Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":
u = 4x
du = 4
dv = cos(2 - 3x)
v = 1/3sin(2 - 3x)
Write into the format:
∫udv = uv - ∫vdu
Thus, utilize the solved for expressions above:
4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx
Simplify:
-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx
Integrate the integral:
∫4/3(sin(2 - 3x)dx
u = 2 - 3x
du = -3dx ⇒ -1/3du = dx
-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C
Combine:
Answer:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y>x/4−3/2
Step-by-step explanation:
Answer:
$13.67 - $11.50
So the raise over 7 years was $2.17
So to find the annual raise in the wage:
$2.17 / 7 = 0.31
His wage was raised <u>.31 every year</u>.
<span>Saul
works at the local car dealership.
=> He makes 2% commission on all sales.
=> He sells a car worth $20,000.
Question: What is his commission
=> We need to get the 2% value of 20 000 dollars for his commission. To do
that simply convert 2% into decimal value then multiply it with 20 000 dollars.
=> 2% / 100% = 0.02
=> 20 000 * .02 = 400 dollars is his commission.</span>
