Answer:
The limit does not exist
Step-by-step explanation
For this question you have to look at the function and see what y value does it approach as it gets closer and closer to x =2, from the left side it looks like it approaces 4 and from the left side it looks like it's approaching 1, since the limits from the left and right sides are not the same, the limit does not exist
Answer:
wu need help with
Step-by-step explanation:
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Answer:
See below
Step-by-step explanation:
π, pronounced as <em>pi</em> is the ratio between 2πr which is circumference to 2r which is diameter.
In word, π is circumference/diameter which has exact value of 3.14159... and it is also an irrational number too.
π is often used to be defined as 3, 3.14 or 22/7 [Keep in mind, these numbers are only approximation.] in some fields. In trigonometry, π is mostly used to refer as <u>π radians</u> or <u>π rad</u> which is equivalent to 180°.
Why do we need it? Because it’s useful in a field that requires rotation. If you notice, figure with circular base will always have π with it, the volume is an example.
In calculus, you need π to do solid of revolution method which is:
![\displaystyle \large{V =\pi \int\limits^a_b {[f(x)]^2} \ dx }\\\\\displaystyle \large{V = \pi \int\limits^a_b {[g(y)]^2} \ dy}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7BV%20%3D%5Cpi%20%5Cint%5Climits%5Ea_b%20%7B%5Bf%28x%29%5D%5E2%7D%20%5C%20dx%20%7D%5C%5C%5C%5C%5Cdisplaystyle%20%5Clarge%7BV%20%3D%20%5Cpi%20%5Cint%5Climits%5Ea_b%20%7B%5Bg%28y%29%5D%5E2%7D%20%5C%20dy%7D)
In trigonometry, you need it for measurement/angle.
So anything that’s related to revolution, rotation or related to circle must require π at least.
In general life, you do not use it but this is mostly applied in engineering field and anything related to science that involves with circle or revolve.
Let me know if you have any questions!
Answer:
The ordered pair is (3, 2).
Step-by-step explanation:
y = -x + 5
2x + y = 8
Substitute y = -x + 5 in the second equation:
2x + (-x + 5) = 8
x + 5 = 8
x = 3.
Now substitute x = 3 into the first equation;
y = -3 + 5
y = 2.
Answer:
y=5 and x=4
Step-by-step explanation:
So,the diagonals of a parallelogram bisect each other..
therefore,we have our two eqn
4x-2=3y-1------------(i)
3y-3=3x
or,y-1=x----------(ii)
Now,simply substitute value of x in eqn (i)
4(y-1)-2=3y-1
or,4y-4-2=3y-1
or,y=5
Again,substitute y=5 in eqn (ii)
5-1=x
therefore,
x=5
Hope it helps you!!!