Let X₁ = eg(t) [eW(t) + e−W(t)] where g(t) is a function of t. (a) Use the Ito formula to compute dXt (b) Find all functions g(t) for which X, is a martingale.

Q: Use e – 6 definition and show that the function 4x² – y? if (r, y) # (1, –2) 2r + y f (r, y) = • 4,…

A:

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: Let f and g be the function defined by f(t) = 7t² and g(t) = t³ + 2t. Determine f'(t) and g'(t).…

A:

Q: Evaluate the function f(x) = e* + In (x + 7) at c, where –7 < c < 6.

A: Given information : f(x)=ex+ln(x+7) 'c' lies between -7 and 6

Q: 07.

A: The function f(t) is defined as    ft=t,           0≤t&lt;2,2,          2≤t&lt;5,7-t,…

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: Make a sketch of the function f (t) defined by 0 5, 1, -1, f(1) = e(s-1), and express f in terms of…

A:

Q: Evaluate the convolution, f(t) * g(t) = 8t*e', then evaluate at t = 2.

A: If f and g be two functions that are piecewise continuous on every finite closed interval 0≤t≤b and…

Q: Find L{f(t)}. (Write your answer as a function of s.) L{f(t)} = (s > 0) f(t) † (2, 2) 1

A: Handwriting solution

Q: Find the MRSxy of the utility function U=In(x)+y.

A:

Q: f (x)> 1+3x +x a) Fincd Ts, a (x) for a E R. b) Expana and simplify T3,a (x) as much as possible.…

A: given function fx=1+3x+x3 a) find T3,ax for a∈ℝ b) expand and simplify T3,ax as much as possible.…

Q: Let f : Z+ → N be the floor function f(x) = [(x – 1)/2].

A:

Q: Let F(x) =Cx41D, fCx)=X,and gox)=x+1 True or fals e (gof)(x) = FCX).

A:

Q: 4x Let F be the function defined by F(x) 1 dt. Find an expression for (t² – 5)6 F'(x).

A:

Q: Graph the function h: Z→Z, defined by h(x)=| 3

A: Graph of the function

Q: = f(x) = (4x – 2)(x² – 3). F %3D

A:

Q: Using the information in the table below, find the occupancy rate for the years 2021 to 2024 using…

A: Given α=0.3. Let At represent the actual values of the occupancy rate and Ft represent the forecast…

Q: What is the graph represented by the function f(t) = t + (t - 2)u(t - 1)

A:

Q: Exercise 5: Compute / f(x)g" (x) – g(x)f"(x) dx.

A: Write the integration using two parts

Q: the guotient f(xth) f(a) where h is cortont.

A:

Q: 5. Consider the function y(t) = rect (a) Sketch y(t). (b) Sketch (d+1)y(t). d-5 (c) Sketch y(t-(a +…

A: We have been given: yt=recttd+5 We have to sketch: a ytb yt-a+1c d+1ytd y2t-a+1

Q: Let f: Z → Z be defined by f(x) = x² + 1, and let C = {1,2,3}.

A:

Q: Let F(s)= [f(x-s)d. Find F(s) for the function f(x)= x", where n is a constant.

A: The power rule for integration is ∫x5dx=x66+C. Here, C is the constant and x is the integration…

Q: The domain of f(r) =tan(x) is Select one: a. 2 2 O b. IR - + nn} O c. IR O d. R {nt}

A:

Q: functions identical?

A:

Q: Let g(x) = | F(t) dt, where fis the function whose graph is shown. y f 12 1 (a) Evaluate g(x) for x…

A: Given The given integral is  and the given graph is  Apply formula  The area of the right angle…

Q: et f(X) = X³ – X² + X – 6. Do the following. (a) Find Galo(f(X)). (b) Let F = Q(/11i). Find…

A: