Given f(x) = 3x2 – 24x + 15, a. Write f(x) in standard form. b. What is the axis of symmetry of f(x)?

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A: Here we have to use green's theorem.

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A: Topic:- Derivatives

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A: Ler the the dimensions of the sheet is  x and y in order to maximize the print area

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A: The Equation of a circle : (x - h)2 + (y - k)2 = r2 Where, r = Radius of the circle (h,k) = Center…

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A: Given:∫01(1-2x)dx = ∫011dx- ∫012xdx                     ∫fx±gxdx=∫fxdx±∫gxdx…

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A: Given query is to find the area enclosed by the curve and x Axis.

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Q: Evaluate: Lī 3sin13 xda 512 1001 1024 1001 1024 1001 512 1001

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Q: 2. Let f(x) = VI(2 – x)². Use the local linear approximation of f(x) at ro = 1 to estimate V0.99…

A: f(x)=x2-x2The linear approximation of f(x) at x0=1

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A: answer is in next step

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A: Given query is to find the value of the function at indicated points.

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A: Integrate by parts.

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A: Given query is to find the price tk maximize the revenue.

Q: Find V (F x G), if F(x, y, z) = 11xi+j+13yk and G(x, y, z) = xi + yj – zk. %3D V. (F x G) =

A: Given,            Fx,y,z=11xi+j+13yk and Gx,y,z=xi+yj-zkTo find : ∇·F×G

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Q: Let a be a real number and f(x, y) = 3ax?y + 6xy3. Let v = 3i – j and let V f(r, y) denote the…

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A: We can find the answers as below.

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