The answer will be a = 1.6 and b = 11 /12
<h3>What is integration?</h3>
Integration is defined as the summing up of the small parts to find the total value.
The solution of the given question is as follows:-
The joint pdf by x and y
1 < x <2
0 < x <1
In point a:
![K\int^1_{y=0} \int_{x=1}^2( 2y-\dfrac{x}{4}dxdy=1\\\\\\K\int _{y=0}^12y-\dfrac{x^2}{8}\int_1^2dy=1\\\\\\K\ y^2\int_{y=0}^1-\dfrac{3}{8}=1\\\\\\K(1-\dfrac{3}{8})=1\\\\\\K=\dfrac{8}{5}](https://tex.z-dn.net/?f=K%5Cint%5E1_%7By%3D0%7D%20%5Cint_%7Bx%3D1%7D%5E2%28%20%202y-%5Cdfrac%7Bx%7D%7B4%7Ddxdy%3D1%5C%5C%5C%5C%5C%5CK%5Cint%20_%7By%3D0%7D%5E12y-%5Cdfrac%7Bx%5E2%7D%7B8%7D%5Cint_1%5E2dy%3D1%5C%5C%5C%5C%5C%5CK%5C%20y%5E2%5Cint_%7By%3D0%7D%5E1-%5Cdfrac%7B3%7D%7B8%7D%3D1%5C%5C%5C%5C%5C%5CK%281-%5Cdfrac%7B3%7D%7B8%7D%29%3D1%5C%5C%5C%5C%5C%5CK%3D%5Cdfrac%7B8%7D%7B5%7D)
K = 1.6
In point b:
In the original pdf of x
![f(x)=K\int_{y=0}^1(2y-\dfrac{x}{4})dy=k\\\\\\K\int_1^2(x-\dfrac{x^2}{4})dx=K\\\\\\K(\dfrac{x^2}{2}-\dfrac{x^3}{12})_1^2=K\\\\\\K(\dfrac{1}{2}\times 3)-\dfrac{1}{12}\times 7)=K\\\\\dfrac{3}{2}-\dfrac{7}{12}\\\\\\=\dfrac{11}{12}](https://tex.z-dn.net/?f=f%28x%29%3DK%5Cint_%7By%3D0%7D%5E1%282y-%5Cdfrac%7Bx%7D%7B4%7D%29dy%3Dk%5C%5C%5C%5C%5C%5CK%5Cint_1%5E2%28x-%5Cdfrac%7Bx%5E2%7D%7B4%7D%29dx%3DK%5C%5C%5C%5C%5C%5CK%28%5Cdfrac%7Bx%5E2%7D%7B2%7D-%5Cdfrac%7Bx%5E3%7D%7B12%7D%29_1%5E2%3DK%5C%5C%5C%5C%5C%5CK%28%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%203%29-%5Cdfrac%7B1%7D%7B12%7D%5Ctimes%207%29%3DK%5C%5C%5C%5C%5Cdfrac%7B3%7D%7B2%7D-%5Cdfrac%7B7%7D%7B12%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B11%7D%7B12%7D)
Therefore the answer will be a = 1.6 and b = 11 /12
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Answer:
Option (d).
Step-by-step explanation:
Note: The base of log is missing in h(x).
Consider the given functions are
The function m(x) can be written as
...(1)
The translation is defined as
.... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
![a=3,b=0](https://tex.z-dn.net/?f=a%3D3%2Cb%3D0)
Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).
Hence, option (d) is correct.
Anwser 5 5/6 I know this because I’ve done the subject before
Formula for compound interest is
Interest = Amount - Principal
Interest =
- P
Where r = rate in percent
t = time in years
For Jaina,
P = $300
r= 7%
t = 3 yrs
So, Interest =
- 300
For Tomas
P = $400
r= 4%
t = 3 yrs
So, Interest =
- 400
So pair of equations for Jaina and Tomas are
Interest =
- 300
Interest =
- 400
Answer:
the answer is b an enslaved man believes a talking cooter will help him gain his freed
Step-by-step explanation: