<span> 30 donuts in 60 minutes
90 donuts ?
90 x 60 / 30 = 180 minutes
answer
</span>180 minutes
<span>
</span>
18 - 2 = 16
8n = 16
Divide
N = 2
Answer:
Step-by-step explanation:
Numerator
sin
x
cos
y
+
cos
x
sin
y
−
[
sin
x
cos
y
−
cos
x
sin
y
)
=
sin
x
cos
y
+
cos
x
sin
y
−
sin
x
cos
y
+
cos
x
sin
y
=
2
cos
x
sin
y
Denominator
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
2
cos
x
cos
y
---------------------------------------------------------------
left side can now be expressed as
2
cos
x
sin
y
2
cos
x
cos
y
=
2
cos
x
sin
y
2
cos
x
cos
y
=
sin
y
cos
y
and
sin
y
cos
y
=
tan
y
=
right side hence proved
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.