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A: Given problem:- f(x) = log5(xex)  To find:- Derivative of f(x)

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A: Explanation of the answer is as follows

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A: answer is in next step

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A: This question can be solved using the concept of area under curve.

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: From the given statements, we have to find the true statements.

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Q: 6. Which of the following is continuous at all points? B) f(x) = **+2x-35 ズ-5 xマ-4x-5 A) f(x) = x-5…

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A: Let the number is x than we need to minimize function f(x)=1x+5324x2, x≥0

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A: Given  y = x-23,    y = x-2 We have to find the area of the region bounded.   The graph is

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Q: D. e ind the Residues of function

A: The given function is ez-1z To find residue we first calculate  and classify singularities of the…

Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: 1. Sketch and find the area of the region bounded by y = In x, y =1- x and y = 2.

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Q: If m s f(x) s M for a s x s b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: Find the partial sum Sn  of the arithmetic sequence that satisfies the given conditions. a = -45, d…

A: Use sum formula for given AP

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A: ∫tanxdx here is the direct formula of tanx = ln(cosx) +c

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A: We have too find the limit of the given graph.

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Q: 4+6 n i) The sequence { )is bounded by 6 n <ns ii) The 20 th. element of this sequence is

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A: The line is tangent to the given function then , there are two conditions :(1)  The function and the…

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A: The given integral,       ∫0π4x sin2x dx

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Q: y" + 1.8y' – 2.08y = 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Test the series below for convergence using the Root Test. n2n (In(n))" n=2 The limit of the root…

A: To solve thsi question we will apply the concept of root test and limit.

Q: Find differential of the function y = (x² + 8)3. dy = dx. When x = 5 and dx = 0.05, compute the…

A: Solving

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Q: 2. Find f(2.6) by interpolating the following table of values. Using Lagrange interpolation. i xi yi…

A: I am attaching image so that you understand each and every step.

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A: Given problems:-

Q: 2. Classify each of the following sets as open, closed, neither, or both. Then, find the closure. a)…

A: classify the given sets are open and closed.

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Q: (4) Draw y=2

A: Solving

Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: 1. Use Green's Theorem to find the counterclockwise circulation and outward flux for the given filed…

A: As per bartleby guidelines we only give first question answers.

Q: 4.On which condition is the function differentiable at a point? A) continuous at the given point B)…

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Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x² + 23x

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Q: The average rate of change of fx) = ax' Over the interval osxs1 IS a

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