How to convert 70 metres to killometres
2 answers:
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Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral
The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.
125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75
Answer:
Inverse function are symmetric with respect to line y=x.
It can be written as:
and
Let's rewrite the given function notation by using y term.
f(x) = 6x-1
i.,e y = 6x-1
Let's solve this equation for x;
Add 1 to both sides we get;
y+1 =6x
Divide both sides by 6 we get;
Now, switch the "x" and "y" we have;
In the function notation: