(1) The integral is straightforward; <em>x</em> ranges between two constants, and <em>y</em> ranges between two functions of <em>x</em> that don't intersect.

(2) First find where the two curves intersect:
<em>y</em> ² - 4 = -3<em>y</em>
<em>y</em> ² + 3<em>y</em> - 4 = 0
(<em>y</em> + 4) (<em>y</em> - 1) = 0
<em>y</em> = -4, <em>y</em> = 1 → <em>x</em> = 12, <em>x</em> = -3
That is, they intersect at the points (-3, 1) and (12, -4). Since <em>x</em> ranges between two explicit functions of <em>y</em>, you can capture the area with one integral if you integrate with respect to <em>x</em> first:

(3) No special tricks here, <em>x</em> is again bounded between two constants and <em>y</em> between two explicit functions of <em>x</em>.

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Answer:
The reason why Prometheus was punished was;
D. For stealing a spark from the heavens
Explanation:
Prometheus was punished by Zeus because Zeus vowed to revenge the act of Prometheus's stealing a spark of fire from Hephaestus, the god of fire, and metalworking and a son of Zeus and took it to humans whom Zeus had initially punished by holding back fire from humans so that humans will eat meat raw for being tricked by Prometheus into choosing the portion of the bull with bones while the animal flesh that was not chosen was given to humans.
Answer:
The answer is A: Yes, all conditions have been met.
Random: Stated
Independent: None of the samples are greater then 10 percent of total population
Normal: n>30 so its assumed to be normal.
Sample sizes don't have to be the same unless it is a Matched pair test.
Explanation:
Answer: The specific heat of this compound is
a) It is higher than the specific heat of water.
Explanation:
Specific heat is the amount of heat needed by a substance of one gram to raise it's temperature by 1°C.
This specific heat is impacted by the strength of hydrogen bonding in any substance.
Hydrogen has the highest specific heat.
Value of specific heat is directly proportional to strength of bonding in a substance.
If the bonding is strong, it will need more energy to raise its temperature. Hence, specific heat will be more for that substance.