<span>y = sqrt(25-x^2) at point (3,4)
The derivative gives us the slope at 3 to be:
-2x
------------ at x=3: -3/4
2sqrt(25-x^2)
</span><span>so we have a vector that is parallel to the slope of the tangent line is: <4,-3>
</span>
<span>the mag = 5 so; unit tangent = <4/5 , -3/5>
</span>
<span>since perpendicular lines have a -1 product between slopes we get the normal to be...
<3/5,4/5>
</span>
<span>It is <4,-3> because it is rise over run. Rise is y component of vector and run is x component of vector.</span>
B) 35x + 15 = 155
E) It will take 4 months to pay off the debt.
Hope this helps you!
Answer:
AEB =43
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
AED + AEB = 180
137+AEB = 180
AEB = 180-137
AEB =43
Answer:
a) P=0.3174
b) P=0.4232
c) P=0.2594
d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.
Step-by-step explanation:
The appropiate distribution to model this is the hypergeometric distribution:

a) What is the probability that none of the questions are essay?

b) What is the probability that at least one is essay?

c) What is the probability that two or more are essay?

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