Answer:
The volume of fish tank is 
Step-by-step explanation:
Area of Base of fish tank = 
We are given that A fish tank has a base, B, with an area, in square inches, modeled by
So, 
Height of tank = x+3
Volume of tank = 
So, Volume of tank =
Volume of Tank =
Hence The volume of fish tank is 
Step-by-step explanation:
the distance can be seen as Hypotenuse of a right-angled triangle with its legs being the x and y coordinate differences.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
distance² = (-10 - -3)² + (-9 - 8)² = (-7)² + (-17)² = 49+289 =
= 338
distance = sqrt(338) = sqrt(2×169) = 13×sqrt(2) =
= 18.38477631...
The answer is C Opposite Leg over the Adjesent Leg you can remember this because of SOH CAH TOA That means Sin = Opp/Hyp Cos = Adj/Hyp Tan = Opp/Adj
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:
y=tanx+C
Step-by-step explanation:
