9. Two chicken coops are to be built adjacent to one another using 120ft. of fencing (sce the picture below). y a). Write a function representing the Area as a function of z. b). What dimensions should be used to mnaximize the arca of an individual coop? c). What is the maximum area of an individual coop?

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. da dæ x4/16x² – 2...

A: Given problem:-

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Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

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A: We need to find values for which the function have horizontal tangent.

Q: aterminate form, use factor 2-1 1. lim X14x+4 +2x-15 2. lim I-3 x+4x-21 x+x-20 3. lim X-4 r-64

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Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

A: Here, the given sequence is: 2-5, 3-6,4-7,... To write the general from the sequence starting from n...

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A:

Q: (a) Show that the limit x*ycosy lim 12 (xy)→(0.0) 2x* +y² does not exist.

A: Student has specifically asked for the solution to question (a). 

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Q: Find the derivative of the following functions.

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Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4  

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Q: y" - 3y' + 2y = 0 Find the General Solution:

A: y''-3y'+2y=0This is 2nd order differential equationAuxillary Equation is :m2-3m+2=0solvem2-2m-m+2=0m...

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Q: siny dx + (x – sin? y)dy=0

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A: NOTE: Refresh your page if you can't see any equations. . add and subtract 1/4 ..................

Q: Consider the function f (x) = 3x – 6|. -

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A: v→=6,-1v→=36+1=37

Q: dx 72

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Q: 4. An imaginary ant is walking on an imaginary cartesian plane so that at any point (x, y) it moves ...

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Q: Poblam cu (a) Compute Cm 2月-/ where xe [-,]. (1) 2n 2n-1 where ze C-1,1]. (b) Gompule Cm z nっ%

A: (a) 

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Q: (-1)"n For positive integer n, let a, = 3" (a) Determine whether the sequence {a„} is convergent. (b...

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Q: Let f(x,y) = (x² + (G))°. Determine the directional derivative of f at the point (1,0) in the direct...

A: Explanation of the answer is as follows

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A: Given query is to find derivative of the expression.

Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

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Q: (b) Explain why the integral e x'dx is convergent.

A: Improper integral : If f(x) is continuous on [a,∞) , then the improper integral of f over [a,∞) is  ...

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Q: dx. 1- x

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Q: 4. dy/dx = sec ²xsec³y

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Q: If  h(x) =    5 + 4f(x),  where  f(4) = 5 and f '(4) = 2,  find  h'(4).

A: Solution: Consider the function h(x)=5 +4f(x) f(4) = 5 and f '(4) = 2 (Given)  

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Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

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Q: (b) If u =x cosy+ ye», where x=s+2 and y= st, prove that 2- ds du - (s - 21) (* siny-xye -e").

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Q: Evaluate the integral using Trigonometric Integrals S (8 – - 3cos (x)sin°(x) dx °(x)sin´(x)dx

A: We can find the integration as below using trigonometric integral.

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Q: Differentiate y %3 (x? + 7х — 1)(5х + 2) а. 20х3 + 6x2 +70х + 9 b. 12x3 — 4x2+ 70х + 9 с. 10х3 + 6x2...

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Q: A function f(æ) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f o...

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Q: Graph the line x - 2y = 4 and find its intercepts.

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Q: 2. Consider lim xa q(x) A student says that this answer means the limit is 1. Is the stude correct? ...

A: Since we are given with the multiple number if question and our guideline is solve first question ki...