Answer: it is 3
Step-by-step explanation:
Answer:
f(-2)=-2
Step-by-step explanation:
we know that
x -----> is the independent variable or input value
f(x) ---> is the dependent variable or output value
f(-2) is the value of the function f(x) when the value of x is equal to -2
so
For x=-2
Looking at the graph
f(-2)=-2
For an input value of -2 the output value is -2
This is the formula for the surface area of a cylinder including the ends, like the total surface area of a can of peas.
S = 2·π·r² + 2·π·r · H
Divide each side by 2·π·r :
S/2·π·r = r + H
Subtract r from each side :
H = (S/2·π·r) - r
or
H = (S - 2·π·r²) / (2·π·r)
Answer:
Value of k is 
Step-by-step explanation:
We are given the following information in the question:
where x is the time elapses between the end of the hour and the end of the lecture.
We have to find the values of k.
Since, f(x) is the pdf, then,
![\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%5Cinfty_%7B-%5Cinfty%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20kx%5E2%20%3D%201%5C%5C%5C%5Ck%5Cbigg%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cbigg%5D%5E2_0%20%3D%201%5C%5C%5C%5Ck%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%20%3D%201%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Hence, value of k is
