Answer:
b
Step-by-step explanation:
ANSWER:
Let t = logtan[x/2]
⇒dt = 1/ tan[x/2] * sec² x/2 × ½ dx
⇒dt = 1/2 cos² x/2 × cot x/2dx
⇒dt = 1/2 * 1/ cos² x/2 × cosx/2 / sin x/2 dx
⇒dt = 1/2 cosx/2 / sin x/2 dx
⇒dt = 1/sinxdx
⇒dt = cosecxdx
Putting it in the integration we get,
∫cosecx / log tan(x/2)dx
= ∫dt/t
= log∣t∣+c
= log∣logtan x/2∣+c where t = logtan x/2
Let X describes the sales
350.25+0.12x=800.5
Now solve for x
0.12x=800.5-350.25
0.12x=450.25
X=450.25÷0.12
X=3,752.08
the sales necessary for the salesperson to earn at least $800.50 in one week is 3,752.08
