(a) Find the auto correlation function of the sum W,(t) = X(t) + Y(t) %3D

Q: D) How do you know that T: P3> P2? (How do you know that the codomain is correct?) E) Find T(x + 2x?…

A: Given, T(p(x))=p'(x)-xp"(x) (D) p(x)∈P3⇒p(x) is a polynomial at most of degree 3. ⇒p'(x) is a…

Q: (d) Find the average rate of change of f(x) in the interval [-4,6].

A:

Q: Let B = {(0, 1, 1), (1, 1, 0), (1, 0, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R,…

A:

Q: Given f(x,y)=x"y+xy - a function of the variables x and y. (a) Evaluate f(0.5,1), and explain the…

A:

Q: -altl Find the F.T. of g(t) = e to aso

A:

Q: f(x) = 3x² - 2x, i.e. fave, 2x, i.e. fave, on the interval [1, Find the average value of ƒ (x 3].…

A:

Q: Partial deviation Given z=f(x,y) = 6x-x2y2 + 3x3y. Find fx and fy.

A:

Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

A:

Q: What is the value of the beta function, B(x, y), where x and y are positive real numbers?

A: We have to write the value of the beta function, B(x, y), where x and y are positive real numbers!

Q: (2) Calculate the average value of f(t) = 2t on (a) [3, 4]. (b) [3, 3.1]. (c) [3, 3.01]. (d) [3,…

A: See this solution in below.

Q: a(t) = 4500 + 1500t – 300ť² cars per hour, where t is in hours and t = 0 represents 4pm. How many…

A:

Q: Find F′(x).

A: Consider the provided integral, Fx=∫1x1tdt Find F′(x). First we evaluate the provided integral,…

Q: Find the average value of the function f(x) = x³ – 2x +1 on the interval [-1, 3].

A:

Q: If f(x)dx = 32, then f(t)dt : %3|

A: Here, Order of limit has been exchanged with each other.

Q: Find F(s). F(s) = L{t(et + est 23

A: Solution is uploaded below.

Q: 4. F(x) = (1- t) dt %3D 4

A:

Q: The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in a…

A: To construct a table of values for U'(t).

Q: Find the average value of the function f(x)= (3x +15.x-7) (2.x +5) over the given interval [1,3].

A:

Q: Consider the PDF f(x) = (1/2)(x+1), -1<x<1 Find the PDF for Y = 1-|X|

A: Probability Theory:Understand the concept of probability, random variables, and probability…

Q: ++Xt+1)dt

A: b) The given integral is ∫t+1t+1dt

Q: Calculate the residual of P = (1.2, 2.4) with respect to the line 3x + 4y = 12.

A: Here we have to calculate the residual of P=(1.2,2.4) with respect to the line 3x+4y= 12 .