- Consider a traffic problem, with u(p) = umax (1- x < 0 *(a) p(x, 0): x > 0 Pmax 5 3pmax 5 =). Determine p(x, t) if x < 0 x > 0 Pmax (b) p(x, 0) = Pmax 3 2pmax 3

Q: 23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of the following…

A: Given:

Q: If f(x) = a* + 2, g(æ) = x – 7 and h(x) = Va, then f(g(h(x)))= Preview

A:

Q: In problems dealing with IVPS and IBVPs for partial differential equations, start by identifying the…

A: Step 1:By analyzing the problem,Step 2:Let's proceed to solve the specific parts of the problem: (a)…

Q: 1. if f(x)= x2-4,  g(x)=x3 , F(x)=1/(x-3) a. F(g(y)) b. f(square root of x4+2)

A: F(g(y)) can be obtained by replacing x by g(y) in F(x)

Q: f(g(h(x)))=

A: Givenf(x)=x4+5, g(x)=x-4 and h(x)=x

Q: 12. Use f(x) = 4x − 4 f[g(x)] g[f(x)] (gof)(3) _ = and g(x)=5-x² to find:

A:

Q: Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+…

A: See the attachment

Q: If f(x) = xª + 2, g(z) = x – 7 and h(x) = /¤, then f(g(h(x)))= Preview

A: We first plug h(x)=sqrt(x)

Q: The production and sale of a boxes widgets-part-A gives us the following profit function: x² 100…

A:

Q: Suppose f(): R" → R is a function. Consider the optimization problem (P) min f(x) over XER". #1) (a)…

A: Given f: R^n --&gt; R is a function We have to minimise f. a) For that f should have gradient in…

Q: 2. f(x)=x²-6x X -6x Vertex x-intercept(s)

A:

Q: 4. Given f (x) = x3 – x and g(x) = V2x, determine a) (f + g)(8) b)

A: Given  f(x) = x3 - x g(x) = √(2x) To find  a) (f + g) (8) b) (f/g) (2)

Q: 1. f(x) = x² – 4x + 1 at point (0,1) 2. f(x) = x³ + 2 at point (1,3) 3. f(x) = 2x* + 3x³ – 2x + 7 at…

A: Given : The functions and the points.

Q: sWhat are the points of discontinuity? (x+1Xx-5) y3D *+4x+3 Ox-3, x--1 Ox--3, x=-1 Ox=5 Ox=5,x=-1

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Q: 7- Differentiate K(x)=(Vx)(5x²+1)³

A:

Q: 3. If f(x)= kx³ -1 and f¹(15) = 2, find k

A:

Q: The critical points of the function f (x)=x' – 9x² +8 are

A: For critical numbers we put f'(x) = 0

Q: Evaluate the function for the given values of x. 5) (-2x - 5, for x < -1 Ax) = {x2 - 5,. 2, for -1…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: State the equation of f(x) if D = {x = R | x*} and the y-intercept is (0, 2). a) f(x)= x-1 3x - 2 O…

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Q: If f(x) = x* + 8, g(x) - = x – 4 and h(x) = Va, then - f(9(h(x)))-

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Q: The critical point (s) for is/are: y = f(x) = 4x³ - 30x² +48x+8 a) (-4, f(-4)) and (-1, f(-1)) O b)…

A:

Q: 23) The domain of f(x) = Vx + 3 is

A: Consider the function