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Answer:
a) "ascend"
Step-by-step explanation:
a)
The equation is
This question is asking for the value of the directional derivative in the direction of -j [since south that's y negative]
So, this is the negative of partial derivative of y. Thus we have:
Now we are at (100,120,1106), we take y value of 120 and put it in the partial:
We take the negative, that is -(-2.4) = 2.4
Since this is positive, we can say the hill is sloping upward at this point, so you will start to ascend.
In mathematical notation, ∑ means summation. So wherever you see the symbol, you have to sum over all elements in the set. Let's solve the question.
a. ∑m means, to sum all elements in the set m: ∑m = 12 + 15 + 20 + 30 = 77
b. ∑ means to sum all elements in the set f as the square of the elements f =
c. ∑mf means to sum all elements as the product of the elements of m and f = (12×5) + (15×9) + (2010) + (30×16) = 875
d. ∑ means to sum all elements as the product of the square of m and f =