From the attached graphic, Half-life = ln (.5) / k
Half-life =.693147 / <span>0.1142
= </span><span><span><span>6.0695884413
</span>
days
The value of "k" should be negative and should have units associated with it.
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</span>
If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

(true for <em>y</em> between -π/2 and π/2)
Now take the derivative of both sides and solve for it:




Hi There!
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Question 2:
Obviously the right equation for this question is Point Slope Form.
Point Slope Form: y - y1 = m(x - x1)
y1 = -1
x1 = 3
m = 2
Question 2 Answer: y + 1 = 2(x - 3)
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Question 3:
Again use point slope form.
Find Slope:
7 - 1 = 6
-2 - 1 = -3
6/-3 = -2
Question 3 Answer: y - 1 = -2(x - 1)
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Hope This Helps :)