Answer:
Step-by-step explanation:
Answer:
You will likely need to actually measure a few people for parts 1 and 2, but the statement in part 2 should be something like "The length of the forearm of one person will be very similar to the length of their foot" or "As the length of the forearm increases, the length of the foot will increase in similar amounts".
Since the equation in pt.3 is y = 0.860x + 3.302, if x=17, then 0.860(17) + 3.302=17.922
The next question is dependant on pt.1
The data from pt.1 should be somewhat similar to the data you collected, the values between them are different because of the allowed error margin between the two.
The data can be made into a function using the "line of best fit". The equation in part A represents a function because there are no two points where two y coordinates are on the exact same x coordinate.
Step-by-step explanation:
The interest on the loan is
.. I = P*r*t = 3000*.09*180/365 = 133.15
Your effective rate is
.. r = I/(Pt) = (100 +133.15)/(3000*180/365) = 15.8%
The critical points of <em>h(x,y)</em> occur wherever its partial derivatives 
and 
vanish simultaneously. We have
Substitute <em>y</em> in the second equation and solve for <em>x</em>, then for <em>y</em> :
This is to say there are two critical points,
To classify these critical points, we carry out the second partial derivative test. <em>h(x,y)</em> has Hessian
whose determinant is 
. Now,
• if the Hessian determinant is negative at a given critical point, then you have a saddle point
• if both the determinant and 
are positive at the point, then it's a local minimum
• if the determinant is positive and is negative, then it's a local maximum
• otherwise the test fails
We have
while
So, we end up with
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