Check whether the following function is a valid CDF? If it is valid, obtain its pdf. X h(x) = _ * _U (x) 1+x

Q: Below are data on the population of a species of moths that inhabit an island and breed annually…

A: Pn=1+rPn-1+μ n is the year after 2000 Year Moth 2000 6000 2001 7800 2002 9960

Q: The functions f and g are defined by f: xx-3 and g : x x respectively. Find another function h such…

A: Let us consider three functions f(x) ,g)x) and h(x) then    the function hgf(x) is composite…

Q: The one-to-one functions g and h are defined as follows. g={(-8, – 1), (-3, 7), (1, 9), (9, –8)} | h…

A: A function f(x) is said to be one-to-one if for every value of x in domain there is a unique value…

Q: Find for the function y = In 20 1+ e

A: The given function is y=lnet21+et2. Chain rule: ddtfgt=f'gtg't Quotient rule:…

Q: A drug using to treat a particular disease shows 20% failure rate. If we select a sample of 8…

A:

Q: Identify the inverse function for g (x)= V2x-2+1.

A:

Q: Let n be a nonzero integer. Find a domain on which the function                       f(x) = (1 -…

A: Let f(x)=y. Then y=(1-xn)1/n. In order to write the inverse function expression write x in terms of…

Q: h the graph of the derivative of the given function. 0 -4 -4 у 4 у 4 4 у X 4 X -4 у 4 У 4

A: Given query is to find the graph of the derivative.

Q: Which pair of functions are inverses of each other? A. f(x) = + 15 and g(x) = 12x- 15 %3D %3D B.…

A: To find:- Need to check all given options f(x) and g(x) are inverse of each other or not

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.