You are building a replacement trough for the company that built the faulty trough in the last concrpt project. You are going to construct it with a metal sheet of width 30cm by bending up one-third of the sheet on each side by the angle 0. How shoukd 0 be chosen so that the tough will carry the maximum amount of water? 10 cm 10 cm 10 cm 10 cm 10 cm

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A: Let's find.

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Q: ( sec' 0 tanede

A: Follow the procedure given below.

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A: For radius and interval of convergence we will first findlimn→∞an+1an then equate it to <1 and…

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A: Given equation x2 + y2 = 25 To be found : Polar form.of given equation.

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A: Topic = Derivative

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A: Topic = Derivative Only Question B is asked by student.

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Q: or Integral Using either Comparison Test Test, determine whether the series converge or diverge. 4 +…

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A: Given ; ln(x2/(3x+1))=y/x.

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Q: 1. A certain object moves in a region of space defined by the following parametric equation: x(t) =…

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Q: 6. Use Laplace transforms to solve the initial value problems: (a) x" + 9x = 0; x(0) = 3, x'(0) = 4…

A: Given x''+9x=0, x0=3, x'0=4

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A: Here we have to use the concept of derivatives.

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A: Given problem:- ∫ (x2 -6x+9)/√(6x-x2) dx

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A: To find the radius of convergence we will find first limn→∞an+1anthen equate it to less than 1

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A: Explanation of the answer is as follows

Q: full

A: We have to determine the given series is converges or diverges according to the given information

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Q: TOPIC/S: Partial Fraction Decomposition 2x3 — х2 + 2х — 2 dx 2x + 2) х?(x2 — -

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Q: Write the partial fraction decomposition of the rational expression. Check your result…

A: For the repeated roots;the fractional decomposition can be writtenas:3x(x-3)2=A(x-3)+B(x-3)2A(x-3)+B…

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A: Solving the problem by finding the value of the derivative. For the question no 8. Option A is…

Q: (-1)"-1"

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Q: Find the local extrema of the following function. f(x,y) = - 8x-8xy-6y + 120x + 68y + 3 Find f,(x.y)…

A: Given f(x,y)= -8x²-8xy-6y²+120x+68y+3 So, fx(x,y)= -16x-8y+120=-8(2x+y-15) And fy(x,y)= -8x-12y+68=…

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A: To solve the following problem

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Q: sequence

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A: Solving

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A: As per guidelines of bartleby, we are instructed to solve only first 3 subparts of a problem.

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A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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A: The given series is: ∑n=1∞(x-2)n9n2+9=∑n=1∞(x-2)n3n2+1...(1)

Q: Evaluate the following sum of iterated double integrals: -2у 2 •4–2y dr dy + | dx dy 0.

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