-100 dr 6. (3r° +x+2) dx 7. 8. /1,000 dr 9. 10. /VF dz

Q: Find exactly T() and N() for x- e'cost, y = e'sint, 2- e' for : - 0. [Choose the correct answer.)…

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Q: а L {sinh(at)} : given that sinh (at) = So %3D s2 -a? 2

A: This is a problem of Laplace transform.

Q: ne following function T, find the antiderivative F that satisfies the given condition. (x) = 2x° +7…

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Q: y=sin?t+ tant, x=- In(– cost) – e sinr, find the value of y' when t= 4 여 V2-e ? 6 2+ Vze V? 2-Vze 2…

A: We have to find dy/dx

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The ant derivative of f(x) is, Now evaluate the anti derivative of

Q: tise a=\n(x+y)t X =cost g= Sint ise da I,=12 de bi 3 d. 1

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Q: 2) tan 0 2V13 4.

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Q: Juha For the function y=3 sin (2x-T/2) +4 .. * find f, g & h f P.

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Q: Find x() given r(t) =(d'.d sint,e cost)

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Q: Find a solution to the following equation in terms of Bessel functions. y/' + 2n²ry = 0 y(x) =

A: Given: y''+2n2xy=0  ⋯1 This can also be written as, y''+2n2xy=0  ⋯2 Substitute y=xux…

Q: x2 In solving for the antiderivative of f(x) = (9 - y2)3/2 using trigonometric substitution, Jf(x)dx…

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Q: d the values of constants a, b, c, at which the fur g(:)= ax-y +b cos.xchy+i(cxy+ sin xshy)

A: By fulfilling the condition a function to be analytical we can solve above given problem

Q: 4. dx + 2x = 2 x²y²dy %3D

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Q: 1 - x dx. e + x Evaluate:

A: We have to find the given integral.

Q: "y=sin?s+tant, x=-In(-cost)-em, find the value of y when =- 2/3 Vz-e 2-Vze 2 2+VZe VE VE

A: Differentiate at given value

Q: P/ by method of variation of Parameters -X find ゾーン Y-Y = e Sine

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Q: e" + e¯ cosh(r) : e - e sinh(r) 2 Use our rules for differentiating e" to show that cosh'(r) =…

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Q: If y = sin?t+ tant, x=- In(- cost) - e sinr, find the value of y' when t==. 4 6 A 2 2 2/3 В 2-Vze 2…

A: Use dydx=dydtdxdt to simplify.

Q: The position of a particle is given by F(t) = t i+ In(t)? j+ sin nt k where t is measured in seconds…

A: Given position :

Q: The velocity of a body is given by v(t) = sin (Ttt), where the velocity is given in meters per…

A: To find the distance between two point we use the following formula : Distance between two point…

Q: Trigonometric Substitution SV9-y dy Vy dx 6. S e 2x+1

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: e"+e (1) V 23 + 1 dx by speculation . x=e"+e-T (2) Use (1), if necessary, to evaluate L +1 (-) de V…

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Q: 2. 2-x dy with yl2) =O find

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Q: lve the following equations: a) y√(1-x²)dy + x√(1- y²)dx=0 (In 6 12

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Q: Sove using variaton of parameters or reduction of order (D²+1)y = tan?x

A: please see the image attached below

Q: Find coth xcsch xdx. Select the correct choice. O coth' z +C -1 + C 2 sinh2 O- coth? r+ C

A: we have to integrate the given function ∫coth x csch2x dx                     (1)

Q: .L.H.S.-R.H.S. HW/ Brove that: (1) 1-tan? x=sechx (2) coth x-1=csch?x (3) sinh¢cFy)=sinhx.coshy…

A: As per our guidelines we need to solve only 3 questions.please,repost the remaining questions as…

Q: 1. "+r = %3D sin t I

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Q: If y= sin?t- 2+ + tant, x= – In(- cost) – e sinr, find the value of y when t= (=- 2/3 V2-e 2 6. 2le…

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Q: H(x) = sin(esinh~1 *) %3D

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Q: Eva luat at the given Value of t; 上 W= X+y x =cost tsits y ecst-Sint

A: Solution: The objective is to find the derivative of the given function

Q: If y = sin?t+ tant, x= - In(- cost) – e sinr, find the value of y' when t= A 1 1 2+ V2e v7 2 D 2-Vze…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

A: The solution of the problem is given in the next steps.

Q: Q5: Solve only one & explain your answer: xy-sinxcosx dy 1. dx %3D У(1-х2)

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Q: If y = sin?t+ tant, x= – In(-cost) – e sinr, find the value of y' when t=- 4 ... 2+ Vze V? ... (B…

A: We have to solve the problem

Q: Evaluate using Trigonometric Substitution: dx (16+#²)? æ(x²+16) tan-1 +C - a2+24 x(x²+24) 6 tan-1 +…

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Q: Show clear and detailed solutions: Suppose that z is a function of x and y, and tan Vy? + x² = z"e6y…

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Q: "y= sin?t+ tant, x=- In(-cost) -e sinr, find the value of y' when = 2+ Vze V? 6 2-Vze ? 2/3

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Q: ouse the imProved wmethod Solve the : y ty tan X= sinzX ;ylo)=l ;h=ol

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Q: P/ by method of variation of Parameters -X Find Y-Y = e sine دیگا

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Q: "y=sin?r+ tanr, x= – In(- cost) – e sinr, find the value of y when = 4 2- Vze 2 3/2 Vz+e 6 6 2+ Vze…

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Q: The total energy in megawatt-hr (MWh) used by a town is given by the equation shown below, where t20…

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Q: G.NO.5.i. Intogiale ate follawing aquati fromu o Te x. a dca-2x)?dx. (a-3x)

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Q: (iv) (r2 – 3)2 (v) 2 cos t (vi) e(e2 + 2e)2 (vii) 4 sint cost (viii) 1- 4 sin t

A: Given that:                   (iv)(t2-3)2 (v)2cos2t(vi)e-t(e2t+2e-t)2   NOTE: As per our answering…

Q: Evaluate : L [ ezt -3+sin h t sin

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Q: 'y=sin²t+tant, x= – In(- cost) - e sinr, find the value of y when t=". 4

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Q: QI: Find dyldx for the following functions:- (3) y = (tan x)tnz+ t (4) y = sin-(x² +x) + 5" %3D

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Q: 6. Integrate the function below using Trigonometric using 6 lines only (solution + Substitution…

A: Let's solve given integral.

Q: The velocity of a plane is modeled by v(t) = -1+ cos ) + 3 sin ), measured in miles per minute, for…

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Q: Solne the IUP By L.T - ゴ+y=S年 sint

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…