tind the geneval solurion to the D.E 4) (3) you Know that 4o)s sinx is one of the solurions

Q: Indicate whether the following statement is true or false. siont e dy dx = fSi P(cos(0)? dr d0 False…

A: Double Integrals conversation to polar coordinates

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Q: дz əs дz at || 11 z = e cos(8), r = st, 8 8 = √ S6 + 56

A: Solution is done in step 2,3

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Q: Show that coshr + sinh r = e" and cosh r - sinhr = e. Hence, deduce M MOUTMOUT cosh? a – sinh? r 1.…

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Q: 3) Find the measure of the arc length of AB in the your work on a separate sheet of paper 9 in. A…

A: If you  like the solution then please give it a thumps up... The Answer is:                 arc AB…

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Q: If I, = e cos" zdr, where n > 2, Prove that i) I, =1-n e sin z cos"- rdr

A: Given,  In=∫0π2e-xcosnxdx solving by using Integration by parts, Formula of integration by parts,…

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A: In this question, the concept of Z-transform is applied. Z-transform In its most basic form, the…

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Q: e Suppose flx) = Sin (x) For which value %3D of a, osas T, will f'la) = 0.

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Q: b. y = -In (12yx²) + sin(y)e312xy + e12yx4

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Q: QUESTION 4 dy Find if da 1- cosh a 1+ cosh a

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Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.…

Q: e+e¯ (a) Find all the solutions of cosh z 4 (Hint: cosh z 2

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Prove the left side equal to right side in the following: s2 (eice = (sin at + at cos ar] 1 L-1 (s²…

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Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -;…

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Q: Find (t), given 7(t) = (– 5t* – 1, 4 sin(2t), 4e*). = (?),

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Q: Sinex dx is a) Conv. to o 6) diverge b) cont. to 프 auou (P

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Q: If A=2(1-cos 0)â, – pyâ, (1– cos ¢)â, – ppâ, +zcos² þ⸠, what is 4 8. V•A ?

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Q: b) (e** cos z) =

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Q: Find S z? sin z dz

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Q: Which of the following is equivalent to u=-cost+v3 sint ? a) u = 2 cos t +- 1 b) u = – cos| t+ 2 3…

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Q: Solve the following 1 do +- PDE: dr'r dr',2 20? BCs: v, dr at r=a v, =U„ cos 0 at r= 00 1 дф Ve = =…

A: The objective is to find the solution of partial differential equation, ∂2ϕ∂r2+1r∂ϕ∂r+1r2∂2ϕ∂θ2=0…

Q: 3. If y = w sin w, then what is dy/dw??

A: y=wsinwTo find d2ydw2

Q: 1/w cos Tº If h(w) = 10 -dz then h'(w) = (m),4

A: Given:-h(w)=∫101wcosx9x2dxTo find: h'(w)

Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

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Q: The integral of the right hand member of the first order LDE A B C с D -2sin³0 3 COS 2 2sin³0 3 sin…

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Q: Which of the following is equal to s v² cos (v³)dv ? A sin 1 8 jsin 1 O Option 1 Option 2 D. sin C.…

A: The solution is Option B 13sin(1)

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Q: b) sol v e in e Iknear di tteren tiaı hrst oroer equanon dy 2. り = n2 cosh cen), when り (1)

A: The given differential equation: dydx-2xy=x2 coshex ;          y(1)=0

Q: Q12) If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6 )?

A: Given ,fa,b,c=Cos abSin b+CPut 12,π3,6i.ea=12 ; b=π3 ; C=6

Q: The cos'ydy is equal to 3 1 A. siny + sin³y + sin³y -; sin'y + C 5 3 B. siny – sin³y +sinsy -sin?y +…

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Q: To evaluate e"sin (e2^) cos(e2") dx. we let u=e* A True

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Q: 0, o° s 0 < 360°, given the follo Cos e = and 0 in QIII 2.

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Q: 2 To evaluate the integral (384 + 576 sin(t) + 216 sin (t)) dt, we recall the trigonometric…

A: Here we have to integrate the given Integral.

Q: 4. Evaluat the fellowing using Simpson's ţ ruloi h =d *x?dx;Ans.c(8.667) B-SとJx iAns. (8、み59)。 A-」

A: By using Simpson's 1/3 rd we have to find solution of given integrals.

Q: Find the length of the cardioid r = 1 – cos 0.

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Q: The area between the two loops of the limacon r = 1+2 sin 0.

A: Question- The area between the two loops of the limacon          r = 1 + 2  sin theta .

Q: Using an appropriate substitution, f sinº (x)cos'(x)dx is equal to: cosl +C 11 cos 11 O Ths opton O…

A: We will find the integral by substitution as following-

Q: A certain substitution gives S sin*x)cos"(x)dx = S (u²-u*)du .what is n?

A: For substitution- Balancing the above equation, we can solve it as follows-

Q: 4) Let [et e'sin(t) let e'cos(t) A(t) : Calculate |A(s) ds

A: Answer

Q: (1+cos y) dy y+sin y

A: To solve the integral, ∫(1+cos y)dyy+sin y, we need to use integration by substitution method. In…

Q: dy is let y = cos(In(cos(x))), then da

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…