Answer:
a = 
. Surface Area = 
. and area of the Dish = +pi
= +50.27=51.6
Step-by-step explanation:
(1) Constant. y(x) = a
that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.
y max = 2, x max = 4 setting up a equation with a unknown gives
2=a4 and a = .
so we have now.
y(x) = 
(Done with solving for a Constant).
(2) Surface Area.
Setting Up surface integral.
(i) range in x = 0 to 4.
(ii) range in y = 0 to 2.
integral is.
Integral(0-2)[{integral[(0-4)
]}]dy
Evaluating this integral gives. .
and area is surface area + area of the circle with 8ft diameter.
= +pi = +50.27=51.6...
Note the Difference between area and aurface area.!
Answer:
<em>4(b) , 5(a)</em>
Step-by-step explanation:
(4). <em>(b)</em> Domain is {0, 1, 2, 3} and Range is { - 3, - 2, - 1, 0}
(5). <em>(a)</em> Domain is [ - 4, 2] and Range is [ - 4, 4]
or
domain: - 4 ≤ x ≤ 2 , range: - 4 ≤ y ≤ 4
The two numbers that multiply to 196 and add to -28 are: -14 and -14.
-14 * -14 = 196
-14 + -14 = -28
Set the number of chickens as x and number of cows as <span>y
</span>so the farmer has total 28 animals
so x+y=28
you know that since the animals are healthy
chickens will have 2 legs and
cows will have 4 legs
the total number of legs are 64
so 2x+4y=64
since you want to find the number of cows
so from the first equation <span>x+y=28
</span>we will get another equation <span>x=28-y
</span>then plug into <span>2x+4y=64
2(28-y)+4y=64
56-2y+4y=64
56+2y=64
-56 -56
2y=8
y=4
</span>
Just combine like terms: all of the x^2 together, all of the x's together and all of the numbers:
3x2+5x2+5x-2-1
8x2+5x-3 simplified, so letter A
