A wheel on a piece of machinery makes one revolution every minute (60 seconds.) How many degrees does it move in 10 seconds?
1 answer:
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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
Answer:
The sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4 is 2555.
Step-by-step explanation:
Given:
a = 5
d = 4
To Find :
The sum of first 35 terms of the arithmetic sequence = ?
Solution:
Step 1 : finding the 35th term
Step 2: Finding the sum of first 35 terms
Substituting the values