X=-2,+1,-1 ;........................,,,,,,,,,,,
Answer:
1) distance travelled = 75mi
time taken = 3 hrs.
speed = distance/time
= 75/3 = 25 mi/hr.
now, if time = 1.6 hrs.
Distance = speed x time
= 25 x 1.6 = 40.0 mi
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2) earning for 8 hrs. of work = $120.
therefore, rate of earning per hr. = 120/8 = $15/hr.
so, earning in 11 hrs. = 15 x 11 = $165
Answer:
$720
Step-by-step explanation:
Given :
Mean, m = 600
Standard deviation, s = 120
Z = (x - m) / s
P(Z > x) = 84%
P(Z > x) = 0.84
Zscore corresponding to P(Z > x) = 0.84 will be -0.994
Hence,
-0.994 = (x - 600) / 120
120 * -0.994 = x - 600
119.28 = x - 600
119.28 + 600 = x
719.28 = x
Hence,
X = $720
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
Your answer is c. If you are struggling divide to backtrack and that should help you get to the answer.
