b. lim -4 In x tan(4x)]

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Q: Please show all steps and explain!

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Q: Consider the problem min (x + y3 + z³) s.t. x² +y² + z² = 1 Given a condition that a point (x, y, z)…

A: Given Objective function:min. 13x3+y3+z3 s.t.  x2+y2+z2=1

Q: 5. Use spherical coordinates to evaluate /16--2² Not √16¬x² / √x² +yª √x² + y² + z² dz dy dr.

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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: The probability density function (PDF) of a sum of two independent continuous random variables X and…

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Q: 5. There exists no integers j, k for which 18j + 6k = 1.

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Q: Find the average value of f(x, y) = V4-x - y on its domain. Set up all necessary integrals in polar…

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A: Note: "Since you have posted multiple question. As per our guidelines we are supposed to solve only…

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A: The f'(x) tells about the slope of the function of f(x). So if f(x) is decreasing then f'(x) < 0…

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Q: Draw the graph represented by the adjacency matrix. 0 2 0 1 200 1 1 0 0 0 00 0 0 2 1. 1 0. 0.

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Q: mxn Suppose f : R" → R is convex and A E RA" is a matrix. Show that the function h(y) := ming {f(x)…

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Q: A Markov chain Xo, X1, X2, ... has the transition probability matrix |0.6 0.3 0.1|| P = 0.3 0.3 0.4…

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Q: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted…

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Q: Show clear steps please.

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Q: 5. §11.5. Q31. Use a chain rule to find the value of dw dxs=1/4 if wr² - rtan 0, r = √s, 0 = πs.

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Q: Write the expression as the sum or difference of logarithms. 3 25 log5 (a²+b)2

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

Q: nd an Eulerian walk in Figure 3. V5 V3 V6 V2 V1 Figure 3: Graph for Problem 3

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Q: The function that describes this oscillation in time is of the form Y (t) = eat (2 cos(bt) +…

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A: We will find out the required value.

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Q: Suppose Ic[-1, 1] is an interval. Define the indicator function, XI : [-1, 1]→R, by { 1, x e I 0, x…

A: Consider the provided question, (1) Let  I⊂-1,1 is an interval with end point a, b.let a&lt;bthen…