This part of the plane lies above a triangle with boundaries
and
along the coordinate axes, as well as the line

When
, we have
. So this triangle is the set

Also, when
, we have
. So the triangle has length 3 and width 5, hence area 1/2•3•5 = 15/2.
Let
. Then the area of the plane over
is

We have



since the integral

is exactly the area of
, 15/2.
Answer:
h = 0.362 m
Explanation:
The pressure equation with depth is
P₂ =
+ρ g h
The gauge pressure is
P2 -
= ρ g h
This is the pressure that muscles can create
P₂ -
= 3740 Pa
But still the person needs a small pressure for the transfer of gases, so
P₂ -
= 3740 - 188 = 3552 Pa
This is the maximum pressure difference, where the person can still breathe,
Let's clear the height
h = 3552 / ρ g
h = 3552 / (1000 9.8)
h = 0.362 m
This is the maximum depth where the person can still breathe normally.
The release of free energy drives the spontaneous reaction.
Spontaneity can be <span>determined
using the change in </span>Gibbs free energy
(the thermodynamic potencial):
delta G=delta H – T*delta
S
where delta H is the enthalpy and delta S is the entropy.
The direction (the sign) of delta G depends of the changes
of enthalpy and entropy. If delta G is negative then the process is
spontaneous.
In our case, both delta H and delta S are negative values, the
process as said is spontaneous which means that it may proceed in the forward
direction.
The resistance of a single light bulb is 220 ohms per bulb.
<h3>What is Ohm's Law?</h3>
Ohm's Law is a formula used to determine how voltage, current, and resistance in an electrical circuit relate to one another.
Ohm's Law (E = IR) is as basic to students of electronics as Einstein's Relativity equation (E = mc2) is to physicists.
E = I x R
The formula reads voltage = current x resistance, or V = A xΩ., or volts = amps x ohms.
110volts divided by .25amps = 440 ohms. 440 divided by 2 =220 ohms per bulb.
R = 110/(2*0.25) = 220 ohms
to learn more about Ohms law go to - brainly.com/question/14296509
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