(a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ + 27).

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A: Given: Graphs e)  f) To find: Equation for each graph.

Q: 2. Use the binomial theorem to show that for all integers n 2 1, 3" = 6) + 2 (4) + 2ª (") + 2" (")

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Q: Sketch the graph of f(x) = –3r³ – 4x² + 6x – 2 by following the steps in %3D | sketching the graph…

A: Note: critical points of a function y = f(x), is given by the x-values where the first order…

Q: 5. (8³z/ôx³)2 - (5²z/ây?)5 - 15ôz/ôt (50²z/ôy?)5 - 15ôz/ôt = 0 %3D

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A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

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A: To answer the given question we shall use the following rule: 1.   If x→∈ℝn, then…

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Q: I. Show that the function f defined by 1, (x, y) = (1, – 1) f(x, y): x2 + y (x, y) # (1, – 1) x +y…

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A: Here we will draw diagram for disk method to understand why it should not be used

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Q: O Find equation for the tangent plane and find an Symmetric equations of the surface xt-y -7-16…

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Q: is that a symbol? cos189j? is that a j or something?

A: Solution

Q: D. Calculate volume enclosed by (z 8-x²-y) and (z x2 +y²), (Use order dx dy dz).

A: Here we use basic formula of volume

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A: We will observe the  both figures and answer this question

Q: WHAT SYMBOL IS THIS

A: As the given curves are c1=3sin2θc2=3cosθ

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Q: Let S be the quadric with equation 36x² – 4y² – 9z2 – 36x = 0 • Classify the graph of S…

A: Given, S is the quadric with the equation                                36x2-4y2-9z2-36x=0

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A: This is a problem of Theoretical distribution.

Q: (b) Explain how the function f(x) = log(x + 3) can be graphed by using transformation of the graph…

A: (b) Given function isfx=logx+3The graph can be transformed to y=logx by the following…

Q: Verify Green's Theorem by evaluating both integrals aM | y? dx + x² dy = dA ax for the given path.…

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Q: 3. x+ X,+ X,=5 3X==8 Gauss-Siedef ミ-16

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Q: 1 2 Q1) find eigenvalue eigenvector of A=(0 1 1/ 1 1

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Q: . u, = u, - sin x cos t, 1> 0 B.C.: «(0, t) = 0, 1.C.: u(x, 0} = 0, u,(x. 0) = 0

A: Solution :-

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Q: 2. Find the Fourier series expansion of: So, f(x) = 0, sin zr, 0<r<1 and then use it to find the…

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Q: Determine whether the following functions have an

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Q: Let F, and F2 be the Cartesian representation of the 75 N and 55 N forces, respectively. Which two…

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Q: I asked 5 questions tonight and this is the first one that I for a correct answer.

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Q: why is the permutation odd?

A: