- 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) = x* + 7, g(x) = x - 1 and h(x) = Va, then %3D %3D f(g(h(x)))= | Preview

A: Solve the following

Q: 2.if f (x) = x2 + 3, with domain R then f(x) has f(x) %3D O T F

A: Here the given function is f(x)= x2+3 with domain R We need to find it has inverse or not.

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: (ii) tank (In x) = x²-1 x² +1

A:

Q: Please answer complete its easy

A:

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

A: Given: A function : . The optimization problem is given as; min over .To Find: When does have a…

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: Let f(2) = x² +1 and g(z) = z² - 1 Then (fo f)(z) -X (fo g)(x) (go )(x) : x*4-x^2+1 x*4+x^2-1 Note:…

A: Consider the following functions: fx=x2+1gx=x2-1 ffx=x2+12+1=x4+2x2+1+1=x4+2x2+2…

Q: x³dx √1+x² (A) / (1+x³)³/² + (C) &n[√x - √₁ + x² + c 31. If I = f- then I equals to - " (1+x³) ³/²…

A: Follow the procedure given below.

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: If function g(x) =- is discontinuous at x=a, find the points of (x-a) x2 -1 (x+4)(2x-3)´…

A:

Q: 15. If f(x)=x-1 and g(x)=1/ (x+1) , g(f(1/2)),g(g(2)) and f(f(x)) 02, 3/4, x+2 02, 4/3, x-2 02, 4/3,…

A:

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

A:

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: Suppose that To (2) centered at 3 for f(x)is given by Ts (2) = 7+3(2-3) + 2(x-3)² + 4(x-3)³ + (x-3)5…

A: Given that , T6x=7+3x-3+2x-32+4x-33+x-35+5x-36 and T6x centered at 3.

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

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

Q: 4) If f(x) = [√9+ x²] then f(R) =_

A:

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)))-

A:

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