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Q: 9. cosh x + sinh x= e* %3D

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Q: Aresident in a paticular cty pays a water bil of $4.48 per month plus $213 per 1000 galions of water…

A: Let the total number of thousand gallons of water is used will be x. so, the usage fee for x…

Q: 2)S 1xtil dx (5)

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Q: So dy y2+9' Evaluate 4. k/6

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Q: b) I =f- x(1+(In x))

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Q: 7. (a) V.(V4) = V²¢ (b) (4× R) _ (2-n).A n(A.R)R %3D E,r =|R|

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Q: 3 2 x+カーカー1 カナ 七 -1)dx

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Q: If lal = n, show that |a'| %3D gcd(n,t)

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Q: X у 503 12

A: Recall: sin θ=opposite sideHypotenuse cos θ=adjacent sideHypotenuse We have, θ=60°, opposite…

Q: use 'hoptal ue to fid value im (4“ + 7°): X¬00 1

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Q: die ktvaate et:rlrs erziv. 2l y=a* + &r-- 5+e" Kl) =

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Q: 2. J Зу /7—Зу?dy

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Q: y 3 y = V x 1 (1, 1) X = 8 y = X 2 4 6 8

A: The given figure is We have to find the area of the region bounded by the curves.

Q: 4)Given determine

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Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: ind the radius of circle Z' given the radius of circle Z is A 7 1 cm and A' 3 The radius of circle…

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Q: 15. S sin²a da

A: The given integration is: ∫0∞sin2α dα  To evaluate the integration.

Q: 60. 2 S.² u du 0 u' + 1

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Q: Inn NTT <os 2. n=1

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Q: Find Thee salu Tion aboul Singular Point

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Q: 3 In ADU DDL =9mm. Z/=6mmand //=N". Find FD. 3

A: By using the cosine rule we can can find the third side of triangle if we have given the two sides…

Q: Et eNcise the fo is linemr OTDE which of eii> +* - 1ogx dy

A: Given some differential equation. We need to find which of the following is linear differential…

Q: 13. sec*0 sin 8 de

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Q: for y= 1hfe

A: Here, the given function is: y=ln(e-4x)  =(-4x)ln e  =-4x(1)  =-4x

Q: 13. Prove or disprove: Q/ZQ.

A: (.) We have to prove or disprove .

Q: 2. y = V4-x , x=0 and y=0 about the y- axis

A: Given that y=4-x2, x=0 and y=0 about the y-axis

Q: cothiz-l=eschz

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Q: 8. 4y" – 4y' + 26y = 0

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Q: S sec*xdx.

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Q: 9. Find y", given y = %3D Vx-1

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Q: 1 6. y = , x= u+1 , find y".

A: The given function, y=1u, x=u+1

Q: Sel Sx(x-TR) TR 3 where TR i; Jor Reyi tation No.

A: Integration of a function f(x) is the process of finding a function F(x)=∫f(x)dx so that F'(x)=f(x).…

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Q: 33. (1 + r)' dr

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Q: y' – 2y = 3e'

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Q: 3=the demmand fumetion forx umits of on item is givem by the functio P= 70-0.07x. what is the…

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Q: APle the graph of fra) if fe0= ) ord

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Q: findd y'CX)

A: Given y=(1/xn) to find y'(x)

Q: Let z(x,y) = 4 x ² + 4 y ² where x = Calculate az & dz 다음 as x = 9s-5t '& y= 2S-7t

A: to find the values of then

Q: 6. у" - 9y' %3D 27

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Q: Duse therom5.4.2 to find 12V IFSV =6 and VT=8

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Q: Finel critical pointof few= un +ln Junt n, also find incred reasing and decreasing funchon given

A: Given function is              f(u)=ueun+lnun+n   ⋯⋯⋯⋯⋯⋯ (1) where n=824 To find the critical point.…

Q: 8. The number of people passing through a busy subway station is documented as 12 pm 3 pm 6 pm 9 pm…

A: Simpson's rule, trapezoid rule, etc. are some of the numerical techniques used to evaluate the…