Find a formula for u(x, t) that solves uxx=ut u(x, 0) = 1 (b) Vi (u(x, t) | ≤ ("(x,t)\ -12 for all to

Q: If f(a) = 7 and f(b) = 0, then there exists a number c in the interval (a, b) such that f'(c) 7 a –…

A:

Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (2, 1, −2), u'(2) = (7, 1, 8), and v(t) = (t,…

A:

Q: (4-х, XS0 10) Determine if the function y(X) = 3x, is differentiable at x =0. x>0

A:

Q: Find a function that satisfies the conditions f " (x)=x8, f'(0) = 13, f(0) = 10.

A:

Q: Use the second derivative f"(x) = x(x+ 1)(x-3) to determine where the function f(x) is concave down.…

A:

Q: Explain the conditional expenditure function in equation (1). Express this equation in a traditional…

A:

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Suppose X,~ Uniform(0, 2) and X, ~ Uniform(0, X,). Find E[2X,+X,].

A: Given,X1 ~U(0,2)X2 ~U(0,X1)E(X1)=2+02=1E(X2)=X1+02=X12

Q: Let f(x, y) = e²x* %3D Evaluate f(3, 5)

A: Given :   f ( x, y) = exy x4   point ( 3,5)

Q: Pron a. If u = f(x, y), where r = e' cost, and y = e' sint, show that (3)³ + (3) ² - - ² [(-)* +…

A:

Q: 2b). Let y* + 5x2y² + yx = 624. A) Find y'

A:

Q: Q1. Let f(x, y) = x²y + x + y² +3. (a). Find f(x, y). (b). Find dy

A:

Q: b) g(x) = S,* In(2r + 1)dr

A:

Q: Let f(u) = u* and g(x) =u = 2x* + 6. Find (fo g)'(- 1). (fo g)'(-1)= (Туре an exact answer.)

A: Given:- Let f(u) = u4 and g(x) = u = 2x4 + 6   To Find (fog)'(-1).

Q: Determine coefficients a and b such that p(x)=x^2+ax+b satisfies p(1)=6 and p′(1)=0

A: Since you have posted multiple question in this question which are nt interlinked so i have solved…

Q: f" > 0 on (-∞, -1) U (-1,0).

A:

Q: : Use gaus -Jourdan Method to Solve The systems? → 2x +2y + ² Z + 4K : lo - x + y + Z + K = 2 2x + y…

A: The given system of linear equations,The objective is to find the solution to the system of linear…

Q: Let f(r) = 3x² + 4x + 5 = (x),f f'(1) =

A: To find the derivative

Q: x -x-2 Find f"(3) if Ax)- x-2 O a) 1 O b) -1 O c) 2 d) -3

A: using quotient rule