Let random variables X1 and X2 have the ioint pdf as

Q: A random variable X is said to have a Cauchy distribution if its density is given by B/T (x-a)2 + B2…

A: Please check the solution  below

Q: 50.) Show how to use a line integral to find the area of a circular disk of radius r

A:

Q: Find the exact values of x and r. (x, r) = 30 30° X

A: Given:  We are given with right angle triangle with 30o   and one side is 30  To find the other two…

Q: Differentiate.

A: We use the quotient rule

Q: Consider the solid that is bounded above by x² + y? + z? = 169 and below by z=5. %3D

A: In this question, we have to write the triple integral to find the volume of the solid bounded by…

Q: Attached.

A: To prove the statement,

Q: Differentiate.

A:

Q: Attached below

A:

Q: 4. Let C denote the circle |z – 2i| = 1, taken in the usual counterclockwise orientation. Compute by…

A: Given: Let C  denote the circle z-2i=1 z-2i=1x+iy-2i=1x+iy-2=1 So, Centre of circle will be 0,2 and…

Q: 3. Consider the directed acyclic graph (DAG) shown below. (a) Write down the adjacency matrix A…

A: Adjacency matrix: The adjacency matrix of a directed graph having vertices v1, v2, …, vn is the n ×…

Q: (a) Find the differential dy. y = cos(x)

A: Differentiate the given function with respect to 'x' and find 'dy'.

Q: attached below

A:

Q: 1 Suppose that X is a continuous random variable with the density functions f(x) =a n2) for 1sx s2.…

A:

Q: 1. Consider the directed acyclic graph (DAG) D shown below. (a) Write down the adjacency matrix A…

A:

Q: Differentiate.

A:

Q: Differentiate.

A:

Q: 2 Find the zeros of f(x) = x´ - 2x + 17 O a 1 ± 4i O b 4 ± i O c -1 ± 4i O d -4 + i O e none of the…

A: If f(x)=ax2+bx+c then x=-b±b2-4ac2a

Q: Differentiate. y= 16/x (16/x) D dx

A:

Q: Differentiate.

A: we have to differentiate y=tan-1sin-1x

Q: Sketch a graph of a function that such that (a) f has a vertical asymptote at x = 3. (b) f"> 0 when…

A:

Q: 4. Given any directed graph D, we can transform it in several ways to obtain: • an undirected graph…

A: Given: A directed graph D, which can be transformed to obtain: an undirected graph unD by…

Q: Find f. F"(x) = 20x³ + 12x²+ 4, f0) = 4, ( 1) = -1 Ax) =

A: Let us denote y = f(x). So,…

Q: Write down the adjacency matrices for the following graph G and digraph D, accord- ing to the given…

A:

Q: Attached

A: We have to choose the correct option from the given options according to the given information

Q: pur simulated ough the following steps: mate P (X > t) for t = 5, 10, 15, 20, 25, 30, 35, 40, 45,…

A: *Answer: