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laiz [17]
3 years ago
14

Lim as x approaches pi/4:

Mathematics
1 answer:
lozanna [386]3 years ago
5 0
\lim_{x \to  \pi /4}  \frac{tan x - 1}{x- \pi /4}  =  \frac{0}{0}
With L` Hospital`s Rule ( ( tan x ) ` = 1/ cos^2 x ) :
\lim_{x \to  \pi /4}  \frac{1}{cos ^{2} x} =  \\ = \frac{1}{cos ^{2} ( \pi /4)}  = \\  \frac{1}{1/2}   =  2


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Answer:

Let X be the number of times the target is hit. The probability P(X≥1) then equals 1 minus the probability of missing the target three times:

P(X≥1) = 1− (1−P(A)) (1−P(B)) (1−P(C))

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To find the probability P(X≥2) of hitting the target at least twice, you can consider two cases: either two people hit the target and one does not, or all people hit the target. We find:

P(X≥2)=(0.4*0.7*0.8)+(0.6*0.3*0.8)+(0.6*0.7*0.2)+(0.6*0.7*0.8) = 0.788

Step-by-step explanation:

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3 years ago
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Answer:

<em>The average rate of descent over the last 3 hours is 1000 ft/h. </em>

Step-by-step explanation:

<u>Rate of Change</u>

It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.

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m=-1000\ ft/h

Note the rate of change is negative, which means the height is decreasing.

The average rate of descent over the last 3 hours is 1000 ft/h.

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