Given f(x, y) = 50æ + 100y – 2z² – 3y² – xy Evaluate f(3, 9) f(3, 9) =

Q: If f(x) = x + /2 – x and g(u) = u + v2 – u , is it true that f = g?

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Q: 6x + 16y af If f(1, y) then is : 6x 16y ду

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Q: Given f(x, y) evaluate f(5,6). = 100x + 60y - 2x² – 5y² – xy, and

A: Given a multivariable functionf(x,y)=100x+60y−2x2−5y2−xy

Q: Suppose f(x, y) = xy + 4. Compute the following values: f(x + 4y, x – 4y)= - f(xy, 6x²y³)=

A: We can find the given function .

Q: Q4: If f (x,y,z) = x?y³ – y²z³ then fy = %3D -

A: Given,           fx,y,z=x2y3-y2z3

Q: Let f(z) - 4z-1 pnd alz) - ar+b, where a pnd b are positive constants. If the composite

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: Let t(x) = 2x - 1 and m(x) = x² - X. Find m(t(x)) Be sure to simplify your answer. Use the fx button…

A: Given, t(x) = 2x-1, and m(x) = x2-x m(t(x)) = m(2x-1)

Q: If u = 2x – 3, thenx V2x – 3dx :

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Q: The domain of the function f(x,y)= V1-x²-y² +In(x²+y² – 1) is empty Select one: O True O False

A: we have to find the domain for f(x)

Q: Evaluate f (tcos² ti+1/tj+sec² tk) dt

A: To solve the following

Q: Find f.(x, y) and f,(x, y) for f(x, y) 3x3 + 8y? – 6x + 4y and evaluate each at f(4, 5). f.(x, y) =…

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Q: Let f(x, y) = 6x – 7y + 3. Find the following. (a) f(4, –1) (c) f(-5,-3) (b) f(-6, 1) (d) f(0, 7)

A: Consider: fx,y=6x-7y+3. Find. a) f4,-1 Substitute x=4 and y=-1 into fx,y=6x-7y+3 and solve to…

Q: Let f(x,y) = x - 4xy - y. Compute f(4,0) and f(4, – 4). f(4,0) = (Simplify your answer.)

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Q: Find fax, fxy and fy for the function f(x, y) = 3x³ + 3xy² + 2x³y² + 3y² Select one:

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Q: Find f, and f, for f(x, y) = 10(9x – 8y+ 12)°. fx(Xx.y) = f,(x.y) D

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Q: Find the line integral of F along the parabola y = x² from the origin to (4, 16).

A: Using green's theorem.

Q: Find fx and fy for f(x, y) = (1 - 2x + y)ex+2y Select one: a. None of these b. fx = c. fx (2 + x -…

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Q: If f = 5xy2 - X³Y then find df at (1,1) dy %3D

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Q: Given f(x, y) 70x + 60y – 2? – 3y? – xy - - evaluate f(1, 3). f(1, 3) =

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Q: Find fax, fay and fry for the function f(x, y) = (1+x+y)e¯xy Select one: a. None of these b. fxx –…

A: Consider the given function : f(x,y)=(1+x+y)e-xy

Q: Find V. (F × G), if F(x, y, z) = 5xi +j+ 7yk and G(x, y, z) = xi+yj – zk. - V. (F × G) =

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Q: Given f(x, y) 90x + 80y - 2 – 4y? – xy, and evaluate f(8, 5). f(8, 5) = %3D

A: Given : fx , y = 90x + 80y - 2x2 - 4y2 - xy  To fine : f8 , 5 Solution : For value of fx , y , put x…

Q: Find f, and f, for f(x,y)=y In (2x+7y).

A: F(x,y) = y ln(2x + 7y) To find : fx and fy

Q: The range of the function f(x, y) = 6 - 4 - x2 - y² is (-00, 6] o [4, 0) [4, 6] (-0,4] [6, 00)

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Q: If f = 5x²y² – XY² then find df at (3,1) dx O 28 O 20 O None O29

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Q: r = |7| , ř = 2xi – 3yj + zk let V(2r), v°(r) find all of

A: Vector Differentiation

Q: df find dz

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Q: Let f(x,y) = 12x²+. +6y². Which of the following is f (x,y)? yy O Nothing in this list is correct. O…

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