Question A farmer is constructing three equally-sized pens against the side of a barn for his animals, as shown in the image below. He has 108 feet of fence to construct the pens. No fence is needed along the barn. What is the maximum possible area for one of the pens? You may enter an exact answer or round your answer to the nearest hundredth. barn

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A: To solve the given higher order differential equation.

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Q: :Q1 Solve the second order differential equation Y " – 5Y' + 9Y = 0

A: Given the second order differential equation is y''-5y'+9y=0

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A: Use additive property of integral to simplified the integral.

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Q: Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

A: Explanation of the answer is as follows

Q: QUESTION 10 Let D (x) = - 5x +7 and S(x) = 3x+ 1. Find the equilibrium point. 3.25 (-5, 32) (3, -8)…

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Q: Directions: Evaluate the following integrai. Show your complete solution. 1. 1 2. dt 3. (3x? – 1)(x+…

A: 1. ∫x2x dx2. ∫1t2+1t3+1t4+1t5dt3. ∫3x2-1x+1 dx Note:     Multiple questions with multiple subpart…

Q: Question 1 Determine whether the integral is improper 5 (x– 4) -Idr Not improper

A: Solving

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A: Given problem:- Two sides and an angle (SSA) of a triangle are given. Determine whether the given…

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Q: xsin x dx

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Q: Sketch the region enclosed by y RV-eand r-1. Find the area of the region.

A: Region is bounded by the given curve y=e2x , y=e7x  and  x=1

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Q: stead of f(x)). E

A: answer is in next step

Q: QUESTION 2 Assume that we have the following function: f(r1,x2) = 2xf + x5 – 4x1x2 on S = R. Is it…

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Q: Provide

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Q: 2. The population of a city grows from a initial size of 1000,

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A: Given problem:- Write the general conic form equation for a parabola with vertex at (2, 2) and focus…

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A: In the given question we have to provide the double integration Using the formula,…

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A: To find the absolute maximum  and absolute minimum of the function f(x,y) in the given region.

Q: Find the arc length of the polar curve described by: r = 5+ 5 cos 0

A: Use the formula for the arc length in polar coordinate.

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Q: Solve for X in the equation, where -4 -3 A = and B = 5 3 -3 -2 -5 ABHTOMA RD 2X + ЗА 3 В

A: The given matrix,A=-4-3203-3 and B=0250-2-5

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A: Here we will find the equation of common tangent,

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A: A detailed solution is given below.

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Q: (х - 1)(х - 4) 38. у- (х - 2х - 3)

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A: Solution: Cost function C(x) = 50000(8-x) +x2+1(80000)

Q: 1. Which of the following is 'alse? If x > 0, then 1/x > 0. If x > 1, then x^2 > x. If x<y, then 1/y…

A: If x&gt;0 , then 1x&gt;0 is trueIf x&gt;1 , then x2&gt;x  is trueIf x&lt;y , then 1y&lt;1xIf x.z=y.z…

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Q: 5" converge or diverge? Does the series n= 1 Choose the correct answer below. O A. The series…

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Q: 5. , (6x2 – 3x + 5)d.

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Q: Show that the limit does not exist. xy? - 1 lim (Ky)→(1,1) y-1

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