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.
Find the vertex form
y = (x + 6)^2 - 45
Answer:
x = 51
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are going to use the appropriate trigonometric identity
We have the side facing the right angle ( hypotenuse) and the side facing the angle given (opposite)
The trigonometric identity that links both is the sine and it is the ratio of the opposite to the hypotenuse
Thus, we have it that;
sine x = 7/9
x = arisine (7/9)
x = 51
Answer:
40
Step-by-step explanation:
-3 2
-15 - 2 = -17
1 5
-1 - 25 = -26
5<em> </em> -1
-25 - (-1) = - 24
1 <em> -5</em>
2 - <em>15</em> = -13
<em>-3</em> 2
area = |-17 - 26 - 24 - 13|/2 = |-80|/2 = 80/2 = 40
Answer: 40
Answer:
14mm×20mm=280mm²
14mm×12mm/2=84mm²
3.14×10²mm=314mm²
280m²+84mm²+314mm²=678mm²