Find the values of af /ax and af lay at the point (4, 5) if f(x,y)=x² + 3xy + y -1

Q: Show that the equation Fu 1 u 0x² ² 3t² 0 is satisfied by u=f(x+ct) + F(x-ct) where fand F are…

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Q: fors √2-6

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Q: Which of the following is the reciprocal of a linear function? O a) f(x) = b) f(x). = 6 2x + 1 1 x²…

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Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

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Q: Which function has an x-intercept of - O a) f(x) = 3x + 2 5x-1

A: Introduction: The value of the x-coordinate at the point where the graph intersects the x-axis, or…

Q: = Consider two metric spaces (X, dx) and (Y, dy). The cartesian product Z X X Y becomes a metric…

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Q: 1) A function is linear for x 2. This function has the following values: 9-4) = 8; A2) = 5; A4) =…

A: Consider the given statements : Put these values in the functions to check whether the functions…

Q: 11) For the function f(x)x+3 a) Find f(1) and f(m +6) b) Find the domain

A: We have been given a function and we are supposed evaluate its value for the given value/expression…

Q: Show that f(x) = x4 + 4.x + c has at most two real roots for any umber c.

A: Consider the given equation. fx=x4+4x+c Case 1: When c>0. No sign change, by Descartes rule of…

Q: If fx) x) f(1) = and f(1) -2, find 1) -16/13

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Q: Use Cramer's rule find yhe solution of x1: 2x1+X2-3x3=0 4x1+5x2+X3=8 -2x1-x+4x3=2

A: write the matrix D from the given equations  D=21-3451-2-14 calculate the determinant D…

Q: 1) 2) 3) -3-2-18 O 2

A: As per bartleby guidelines we only give first three question answers. Please repost for other parts.…

Q: 3. Use the Argument Principle to show that (a) f(z) = z + 1 has one zero in the first quadrant, and

A: Given: f(z)=z5+1

Q: 3) Find domain of the following functions х+4 a) f (x) = х2+2х-8

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Q: 5. Let f(x) = 2x³-x² +7, find: a) ƒ(2) b) f(-5) c) f(a)

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: Given the functions fr) = x and g(x) = x - x + 4, determine the range of the combined function y =…

A: Function: A function f from a set of elements X to a set of elements Y denoted by f : X→Y is a rule…

Q: Find f, and f, and evaluate each at the given point. ху f(x, y) = (5, -5) x - y f,(x, y) = f,(x, y)…

A: Given; f(x,y) =xy/(x-y); (5,-5)

Q: Given f(x, y) a² f მ2 8² f дуг = - (6x¹y+ 2xy). Compute: ←

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Q: 6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x…

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Q: Suppose that F(x)=f(g(x)) and g(14)-2, g(14)-5, f(14)-15, and f'(2) - 11. Find F(14). O 17 O 55 O…

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Q: 3. State the domain and range of f(x) = –- 2 D:(-x,0] А. D: В. D:[-2,0) C. D:[1,0) D. R:(-0,-1]…

A: To state the domain and range of,fx=-12-x-1

Q: 5. State the domain and range of each function. a) y = 2x- 1 b) y = -3(x – 4)² + 1 c) y d) y = V-3(x…

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Q: 1. Let f(x) = 3x + 1, g(x) = 7 – 2x, and h(x) = x² – 4.x + 5. Find the following: a) (f + g)(2) b)…

A: 1. Given, f(x)=3x+1g(x)=7-2xh(x)=x2-4x+5

Q: 18. Find the inverse of: (x) Nx-9+3. A)()=(x+9) -3 or'm-(x-3) +9 B))-(x-3) +9, x 23 D) m-(x+9)-3,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

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Q: 2. Determine fx(x); x² + 1 f (x) = 3x

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Q: 2x+3x₂-x₂ = 7 3. Use Cramer's rule to solve 3x, -5x₂ =4 x₁ + x₂ = 5

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Q: Let P (x) = 2x - 15a + az?+ bx + c, where a, %3D Given that (x - 5) is a factor of P (r), find a…

A: It is given that,  P(x) = 2x4 - 15x3 + ax2 + bx + c It is given that, (x - 5) is a factor of P(x).

Q: Guven f(2)= e and gSin(xt i) f)- e3x² and g Sun(xt 1) find flgez) and g(f(2)

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