14. A rectangular garden is to be planted against the side of a barn. The gardener has 80 metres of fencing, and will construct a three-sided fence; the side of the barn will be the fourth side. Determine the dimensions of the fence that will give the garden the maximum area. 5A

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A: The graph of the function is given.The aim is to find the function for the given graph.

Q: 3. √11

A:

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A: Solution: The percentage of body fat measured at the beginning of the semester and at the end of the…

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A: Given The given expression is  Apply Laplace transform formula.

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A:

Q: dx 0 4-x

A: To evaluate the integration.

Q: 4. 1+x+x* dx 1+x2 34.

A:

Q: x - 3 2- y 2. 7- 2x 4. 3 2.

A:

Q: 45x(4²)3 3. Express as a single power. 48 a. 43 b. 42 C. 418 d. 46

A:

Q: 8. Solve for x. 3 4 16

A:

Q: 12. Stan³0 sec²0d0

A: Integration is done by "u" substitution method

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A: Given,          x2-2y3

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A: Solution is done in step 2

Q: 9. x - 6 ( if x = 6) 10. 7 + x ( if x = 6) 11. 3x - 9 ( if x = 6) 12. 63/x ( if x = 6) 13. 5 + 5x +…

A: 9. x-6  when x=6  So, put x=6 in x-6.  x-6= 6-6=0    10. 7 + x ( if x = 6)  Put x=6 in 7+x we get,…

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A:

Q: Find .6 7 LT." 3 4 xy dydx.

A: Given that the integral ∫36∫47xy dydx. Find the value of given integral.

Q: a) : ?

A: here differentiate both sides with respect to x.

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A: We have to solve for x

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A:

Q: 6. X-4 >2 X+3

A:

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A: Given; 1. [(K2+7k+10).(k2+3k)]/[(k2+8k+15)(k2-4k-12)] 2. 7/(x-2) - 5/(2-x).

Q: 8. 2x + 21 < 11

A: Solve inequality

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A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y&gt;-x2-22x-y ≥-3

Q: -7 2. Fine the gcneral Selution

A: Given differential equation is: x2d2ydx2+xdydx+y=-7.     …..1 Substitute x=ez z=logx Now,…

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

A:

Q: 9. 6 < 2x + 2

A:

Q: 4. Find tricingeo. FincX 3.2 2.7

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Q: 97 45. -x³dx +

A:

Q: 5) 3x +5 30

A: Topic = Inequalities

Q: For the following equation, determine the values of the missing entries. Reduce all fractions to…

A: given x=y2 complete the table as follows

Q: 5. E1009 i-2n – 2 E7000 i¬n

A: ∑n=11009i-2n=∑n=11009-1-n          =∑n=11008-1-n+-1-1009          =-1+1-1+1...+1+-1-1009…

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A:

Q: 10.1-2 q 6

A: Image is attached with detailed solution.

Q: 4. 4 x+3 x-3 x2 -9

A:

Q: 一 tp人 川

A: Given,           y'=x+1y4+1

Q: 7.) -3- %3D 10 2'

A: .