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: 2. y" + 4y = 8t²-20t+8

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Q: (z/(u + m) = d)dĒшAuA (! h) 3n3m(n+m=4^n-m=2) (1=m-uv+=+u)шEUE (8 (S=₂+₂)Ẹи (ə (0 = m+u)шEUA (³ (m>…

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Q: y®y' – 8y9 = ex ,8,

A: On simplification, we get

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Q: sVx? + 1d: Idx = 1

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Q: Verify by differentiation that x4 is an antiderivative of 4x3.

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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: 2.x²y"+xy'–3y= 0,x>0

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Q: Find ∫∫D(4x+5y)dA where D={(x,y)∣x^2+y^2≤1,x≥0}

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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: For the function f(x) =-X find f"(X), f"(0), f’"(1), and f"(- 1). "(X) = O I7

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Q: How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Methods of Undetermined…

A: Given: Given differential equation is y'''-4y''+2y'-8y=6ex-x2+1 We will solve this equation using…

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: (5,-2,-6) UXV (b) (c)

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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: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: Find | |- •√√√√ V 5x ry sin(x² + y2) dedy

A: ∫02π3∫05π3xysinx2+y2dxdy

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: успЈ where /_g[n_1] + n[n] 2 x[n] = (!) u[n]

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Q: Q/ Let x~P(m) and let y = 5x , find the p.d.f of y

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Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

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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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Q: 5. 9+ 16у? dy

A: