The graph of a function f is given below. According to the graph, the derivative of the function changes its sign from positive to negative when x = 0. y y = f(x) -3 -2 – 1 1 2 3 Select one: True O False

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A: We have to discuss properties of the graph

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A: Given;  y=ecosx^2/[pi x sqrt(2x3+1)].

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A: To find the general solution of the given differential equation.

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A: Let's find.

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A: The given function is  f(x)=sqrt(2x-x2)

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A: We have to obtain an orthogonal basis for w.

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Q: 1. Evaluate the following integrals. csc 0)(1+ sin² 0 + sin 0 cot² 0) do a.

A: To find out the integration.

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A: Consider  8sin(20x)sin(9x)

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Q: Q3: Find the value of n which F(x, y, z) = (x +y +z*)" to satisfy fxx +fyy+ fz= 0. 1

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Q: Trigo nometic substimhon - x"

A: A detailed solution is given below.

Q: 프-3r-dx= a) 클m3x + 21+ tanx + C b)습 미3x + 21-tan'x + C Q13:J +1)(3r+2) d)흘 I미3x + 21+ tanx + C -1…

A: The integration of the integral is  (2x2-3x) /[(x2+1)(3x+2)].

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A: LetI=∫ 12x+1dxI=∫ 12x.121dxI=∫ 12x· 12dxTake the constant outI=12·∫ 12xdxWe know that…

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A: For the solution follow the next step.

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Q: Given f(x) = 2x + 4, what is the value of '(1)? Select the correct response: 1 O 2 O 4

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Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at æo (In 2 =…

A: linear approximation of function fx=cosxlnx+2, at point x0=0

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Q: 3) (0,1,0), (2,1,0), (3,4,7) Ans. Indepena

A: Given

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A: We have to find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x)…

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A: implicit differentiation to determine dy/dx given the equation    x5+y2=−4

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Q: ppose a compa headsets, the cost and revenue functions (both in dollars) are given by C(x) = 32,000…

A: Profit = revenue - cost Px=130x-0.001x2-32000+60x=-0.001x2+70x-32000