1. Let u = f+cK* u with c real and K(x) = H(x)be-ba, b>0. (a) Find the general solution. (b) For b→∞o, the sequence K(x, b) defines a Dirac delta. Show that if c < 1, but not f the solution of the equation approaches 1-c otherwise. (c) Show that if c> 1, the solution diverges exponentially as b→ ∞o.

Q: Let X x b(n,-) and E(3x) = E(3-5.x) find n.

A: Given X ~ B(n, 12) P(X=x)=Cxn px (1-p)n-x; x=0,1,....n…

Q: A particle moves along the x-axis so that at any time t > 0 its position is given by a (t) = (at)²,…

A: Given the position of a particle is  x(t)=12(a−t)2

Q: 3.) Determine the root of the equation by Secant Method (should converge at three decimal places a.)…

A: The formula for the secant method is  x2 = x0-f(x0)×x1-x0f(x1)-f(x0) Here x0 = xa and x1 = xb We…

Q: 2- Find the approximate roots of the following equation f(x)= 4x – x² -2 = 0 on [0,1], by using…

A: According to the given information it is required to find the approximated roots of the equation…

Q: Find the first derivative of g(x) = 9eª sin(x²). g'(x) =

A: The given function .The aim is to find the derivative of the function.Note: Since you have posted…

Q: Given function G(x)= 3√2t² - 2 dt. Which V one of the following is true? A) G(3) <G'(3) <G"(3) B)…

A:

Q: A bank saving account with a fixed interest rate is modeled using the following difference equation:…

A: Given: y(n) -(1+r)y(n-1) = x(n) y(n)   = x(n) + (1+r)y(n-1)     where x(0) = 1500$ , y(-1) = do not…

Q: Suppose f(t)=-H(t)-1²H(t)-3(t-1)H(t-1)+(-3) H(1-3)+(-5)H(1-5) Express f(t) analytically.

A:

Q: a. Construct a table for (p ^^~q) V (~p V q) b. Use the truth table from part a to determine the…

A: Consider all possible truth values of p and q and write them in table and determine truth value of…

Q: 2. If y = x", where n is a positive integer, then ant1y %3D dxn+1 A. n! В. О С.п + 1 D. (n – 1)! 3.…

A:

Q: 2 f(x) = tan √√3 10 is a decreasing alues of 2 2x+1 -log (x² + x + 1) + √3 function for all x = R,…

A:

Q: Let f (x), −L < x < L, be an odd function that satisfies the symmetry condition f (L −x) = −f (x)…

A: Given: Let us consider the given function fx, -L&lt;x&lt;L and the condition fL-x=-fx. To find: An=0…

Q: Suppose that r¹(t) = and 7(0) =. Find r(t) r(t) = < V

A:

Q: Sf(x – 1) + 2x if r>0 if r<0 f(x) = Consider f(0) = 3, find f(7) and f(9)

A: f(x)=f(x-1)+2x if x&gt;00                    if x≤0Also given thatf(0)=3So, By…

Q: Solve the initial value problem with a general Yo. Then determine the domains for your solutions.…

A:

Q: © A cube with sides 13 inches long is covered with a coat of fiberglass 0.2 inch thick. Use…

A:

Q: 1²y" – 3xy/ + 4y = x² In(x), Yh = C1x² + c2x² In(x) -

A: