For (a)-(d) Use the following inner product of R². T = x² Ay where A = [1 2] . Let x =([^'3] y = [!] -3 and Compute < x, y> Compute ng the following! <...> defined above, i. 11X11 ii. Hyll

Q: $. flx) =3=x*, glx)=x² -4 d) Domain A domain H) Domain

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Q: y®y' – 8y9 = ex ,8,

A: On simplification, we get

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Q: Letf :Z→Zbedefinedbyf(x)=x^2 +1,and letC ={1,2,3}. Find f (C), f ^−1(C), f ^−1(f (C)) and f (f…

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Q: {In(æ² + xy+y³)} Find

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Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: (b) (x*y2,1/3(xy) -1/3 X + 0, y # 0

A: We will simplify the expressions by writing the exponents with equating the bases.

Q: Finel the ralves of a anel b such that the function aV5-x tb-1 it Hax cos(TT Ix) 9 +1+ b(x²-7)…

A: Note: There is an error in question, for the given function a has 2 values but it cannot be possible…

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

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Q: Given F = (xyz², x²yz³, y²), find the following. (a). div (b). grad (divF) (c). curl (grad (divF))

A: We need to find the divergence of the field. F=xyz2, x2yz3, y2

Q: find

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Q: A company determines that monthly sales S(t), in thousands of dollars, after t months of marketing a…

A: Find S'(t)?

Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

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Q: Find all residues of the function z (2-2) not including the residue at infinity. "

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Q: Let f(x, y) = √175 – 3x² – 4y² Evaluate f(5,3)

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Q: Let y = || = y'"' = = x + 7 X X Hint: Try to do this without using the quotient rule.

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Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: Find G′(w) if G(w)=3/8w^6+6^4*squareroot of w

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