Find temperature in a rod with length L=2 and: Ut = 4uxx u(0,t) = 1,u(2, t) = 3 0 < x <1 u(x,0) = f(x) ={x- 2 1

Q: Find f. 4 f'(t) 1 + t2 f(1) = 0

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Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4).…

A: our objective is to find the required derivative

Q: Let f(x) = V9 + v7z. Find f'(x) f'(x) =U

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Q: DEFINITION 10.1.1 Let f be a function defined on an interval [0, o0). The Laplace transform of f is…

A: Lapalce transfermation.

Q: Let f(æ) = In a*(x + 5)*(2² + 4)*| f'(x) =

A: We will use properties of logarithm. lnan = n lna  ln(a.b) = lna + lnb

Q: Let f and g be differentiable functions such that f(1) = 2, g(1) = 2, f'(1) = 3, g'(1) = -3 f'(2) =…

A: uv'=u'v-uv'v2

Q: aw aw = f(s³ + t²) and f'(x) = e*. Find and at əs Assume that w=f[s]

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Q: Let X~s f(x;8) where f(x; 8) = - exp{-|x – 0|}I(-o,0)(x), 0 E R. Find the MLE of 8 %3D

A: We have given that  X follows f(x, theta)    We have to find the maximum likelihood estimator of…

Q: Find maximum rate of change of f at the given point. f(x,y)=sin(xy), (1,0)

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Q: length, is given by the heat equation, ди 2²u əx² Ət (0 0), here x measures distance along the bar,…

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Q: Find the maximum rate of change of f (x, y) = xln /x2 + y2 at (1,2) and direction in which it…

A: To find the maximum rate of change of fx,y=xlnx2+y2 at 1,2 and direction in which it occurs.  First,…

Q: Display the discontinuity of h at (0,0) and Evaluate hx(0,0).

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Q: y=f(x)=x' - 4x +10 find the interval that f(x) graph is concave down. O A) (2, infinite) O B) (0, 3)…

A: Given that the function y=f(x)=x4-4x3+10 Find the interval such that graph of the given function is…

Q: Let H(x) = f(xg(x)), where f and g are differentiable functions such that g(2) = 3, g' (2) = 5, and…

A: We will solve the following.

Q: A spaceship is moving in a vertical line. Its velocity at time (t) is given by v(t)=3(t)^2 +2(t)…

A: Given, Velocity of the spaceship = v(t) vt =3t2 +2t

Q: Find a function f that satisfies the conditions. f"(x) = x-3/2, f'(1) = 4, f(4) = -2 f(x) =

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Q: Let f and g be functions differentiable on R. with Find f(x)|x=2= d g(2) = 2, 9(x)\x=2 = 4, de…

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Q: Let f(æ) = (x – 9)* – 5, determine f-(x). f\(x) =|

A: We need to find inverse function.

Q: The linear approximation L(x) of a differentiable function f(x) near the point x = a is L(x) = f'(a)…

A: Given statement is false, because

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

A: To find the derivative

Q: Let f (t) = 4t5 + Then f'(t) = At +, where A B C = %3D

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