Answer:
The answer is 48 units³
Step-by-step explanation:
If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,
Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,
After performing the elementary y integral we obtain the desired volume as below,
Answer:
The surface area of the cuboid is 648 m^2
Step-by-step explanation:
What we have here is cuboidal in outlook
By using the formula for the surface area of a cuboid, we can get the surface area of the shape
mathematically, we have the surface area of a cuboid as follows;
2(lb + lh + bh)
where l is the length, b is the breadth (width) and h is the height
We can have the length as 9 m, the width as 9 m and the height as 13.5 m
Substituting these values, we have the surface area of the cuboid as;
A = 2(9(9) + 9(13.5) + 9(13.5))
A = 2(81 + 243)
A= 2(324)
A = 648 m^2
Answer:
The interquartile range for December should be 21 minus 18 = 3.
Step-by-step explanation:
i just took the test
Answer:
C.
Step-by-step explanation:
WE need to convert the given equations into the standard form
(x - a)^2 + (y - b)^2 = r^2 where r = the radius.
x^2 + y^2 + 12x - 20y+ 132 = 0
(x + 6)^2 - 36 + (y - 10)^2 - 100 = -132
(x + 6)^2 + (y - 10)^2 = -132 + 36 + 100 = 4
giving a radius of 2
x^2 + y^2 + 12x - 20y + 55 = 0
will give a right hand side of -55 + 36 + 100 = 81 giving radius 9.
x^2 + y^2 - 12x+ 20y + 127 = 0
- gives right hand side of -127 + 36 + 100 = 9 giving a radius of 3.
Answer:
Sure, Help you with what?
Step-by-step explanation:
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