- Let X1, X2, ...,Xn~N(0,0) and T = Fi (T),Var(T)

Q: Let f (*= {(8) +f(9) for real values of x and y. If f '(0) exist 2 2 and equals –1 and f(0) = 1,…

A: Introduction :

Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: 1 x⁹ Determine the derivative of h. Let h(x) h'(x) = = = 1 9 X 10 Determine the slope of h at x = 2.…

A: h(x)=

Q: Let f(x) = (x³ +2x+4)* ƒ'(x) = = ƒ'(1) =

A: The function is f(x)=(x3+2x+4)4the aim is to find the derivative then the derivative of the function…

Q: |- Let f(x, y) = y²e* +y find fryy

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Q: Let f(t) = 3t – 8t + 5e'. - Then f'(t) =

A:

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

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

Q: Let f(x)=V2x/x. Then f"(1)= Select one: 3 16 3 8/2 - 36 7 21 O None of the above

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Q: Show that the function u(x,t) = t/2e-*/4 (t > 0) satisfies u, = uxx.

A:

Q: Evaluate the function when x = 1, 3 and 3 3 1) f(x) = x + 2x - 3

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Q: Let f(x, y) = (- (3z + y))°. Then

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Q: of of and ду Find f(x,y) = Vx + 3y?

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Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: Find y as a function of a if y(0) = 8, 3/(0) = 8, "(0) = 25, "(0) = 0. y(x) = || (4) 10y" +25y"=0, 1

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Q: Let h(y) = (2y – 3)4 Determine the derivative of h. h'(y) 8 (2y-3) 5 ✓ h is differentiable on 05…

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Q: Soluti 03 16. A 11 22 1 Let Ax- b be a linear svstem of n eauations in n unknowns, and assume that A

A: Given: A = 03-2114225, b = 75-2  and Ax = b To find: The value of matrix x.

Q: or f(x) = 2x-7 3x - 2

A:

Q: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

A:

Q: Let f(x)= x³+1. Then (fof)'(1)= O 20 O 36 O 3 O 9

A: Please refer to the image below

Q: 2n- X 2n 3. Let f(x)- x-x +... + xxx-ax+b. Which value for'the pair (a,b) will X guarantee that the…

A: At x=1 the graph of f(x) touches x axis. This means at x=1, f(x)=0Or, f(1)=0From it we get equation:…

Q: Let f(x, y) = e"r³ Evaluate f(3, 0)

A: The function of two variables  x and y will be of the form,   The function value of this kind of…

Q: Expand f(z) = Z (z-1)(3-z) -; Iz-11>2.

A:

Q: Let (a,m) 1 with m>1 and let f = expm (a). Then

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Q: Find f,(2, 4) and f,(2, 4) for f(x, y) = x* + 4x?y³ + 8y*. 2.3 f-(2, 4) = f,(2, 4) =

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Q: f(x, y) = e* +xIny+ylnx

A: This question involves partial differentiation  Solved below