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Q: P sin(a)dz 1) Evaluate Væ² – 25 -da - ,. 2) Evaluate

A: Given, Part a: ∫x2sinxdx Using the By parts rule of the integration, ∫udv=uv-∫vdu Here u=x2 and…

Q: 97 (b) dg -y= e*(1+x?)+2 Sinx d'y

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Q: Find  y' and y''. y = e?x sin(?x)

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Q: d (csc x) = -csc x cot x dx %3D

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Q: Q. find the apPtoximation of the follo values, which Ts dfetent betueen the intelers 22/7 dr - 2+…

A: We can solve this using trapezoidal rule

Q: y' +y tan(x) = sec(x) %3D

A: Given: y'+ytanx=secx We know that general solution of differential equationy'+ypx=qx is given by…

Q: y' + 2y = 5 sin(e2x) Need Help? Read It

A: We have to find the solution of given differential equation

Q: Evaluate using Trigonometric Substitution: dx I+v o 음V1-VE(V-2) + C o 을V1+vE(VE-2) + C O None of the…

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Q: B. Using trigonometric substitution x3 dx 1. J Tx?-9

A: We have to find  As per guidelines we have to solve one question

Q: can y' = sin(xy) be solved using separation of variables ? Select one: O a. l am not sure O b. Yes O…

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Q: Let f(x, y, z) = n(4xy) + sin(xy² + ye*). Find fayz.

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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: Evaluate y cos (r*) dr dy

A: We have the given double integration is ∫0π23∫yπ23ycos(x3)dxdy Here the integration is done first…

Q: j"+y=cos(x)+3sin(x)|

A: The given question is taken from the calculus in which we have to find the solution of the given…

Q: L at y= tan(ry)=y, find the value of so that ky'=- 8 4 O x-4 2n2 O I-2 O I+4 I+2

A: Here, the given equation is: tan-1(xy)=y...(1)

Q: 3. y'cosh?x = sin² y, y(0) = 2 %3D

A: We will use the method of separation of variables and then integrate.

Q: ple to nnd (8) for the given finction. b. f(t) = e" sinh?t.

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Q: Integration by Trigonometric Subshtunon Jx(x?_ax+4) $12 XP

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Q: For 180° < 0 < 270°, sin(0) < sin TRU A triangle has side lengths x, y, z and corresponding angles…

A: a. Given: For 180°&lt;θ&lt;270°, sinθ&lt;sinθ2 To determine whether the given equality is true or…

Q: dy ? dx If sin(r + y) = xy, what is the expression for

A: sinx+y=xy Differentiating with respect to x…

Q: d. V9+ 2i e. 21 + In(2 + i)

A: The given problem is to evaluate and simplify the given complex expression and convert into…

Q: $(8y + x -x)dx + (y + 7x)dy = C (Type an exact answer, using as needed.)

A: Green's Theorem:∮Mdx+Ndy=∬∂N∂x-∂M∂ydx dy

Q: dx Evaluate S- (x²+9)72 using trigonometric substitution 3/2

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Q: y = e* sin 4.x

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Q: Solve (r+Vy? - x2) y'-y 0 O In y sin '(=) C. O In y sin 1(불) 3 c O None of the choices sin '(-) - e…

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Q: – Só Si, sec²(rx³) dxdy

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Q: TTY Sinz dy dz

A: We have to solve  ∫01∫0ππy sin z dy dz.

Q: rcos y pa-y ET sin( y + z)dzdxdy 6

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Q: Mf(x) = a? = x – tanI, I = 0

A: Differentiate the function fx=x2-tanx with respect to x, and then substitute 0 for x in f'(x), to…

Q: J 4 sin xecos* d.c

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Q: Find dy/dæ by diferentiating implicitly if sin (a?y?) : = x. Answer:

A: The equation given is  sin(x2y2)=x Differentiate both sides with respect to x ddx(sin(x2y2))=ddx(x)…

Q: FOTE: Enter the exact answer. dx dy = VT

A: A detailed solution is given below.

Q: olve by MUC: (D³ – D² + 3D + 5)y = e* cos 2x

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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: Find the area enclosed by one leaf of the rose r = 12 cos 3u.

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

A: If x=f(t) and y=g(t) , then dydx=dydtdxdt Note : In your question , options are incorrect.

Q: A y' and Y"For Y=sin (X+ Y) 11 dar

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Q: Coтрule the mtegral sin r dr т — 4г + 5

A: This would be solved using catchy integral theorem.

Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: which of the following is equal to ITe dx? Vite ex 3 A.2 (22 - (1te")

A: Given,∫10 [√(1+e-x) / ex  dx] Substitute (1+e-x) as t

Q: /9-y dy

A: We have to integrate.

Q: Evaluate: (r² sin (0) + 2?)r dz dr de

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Q: Bearing Ato BN 316 E A to c S 88:E B to G S 54°E rt ABE E9.71 Bc=?

A: Use of trigonometry is required

Q: di 5. Solve L+ Ri = E, i(0) = io, where L, R, E, and io constants. dt

A: Given:Ldi/dt+Ri=E and i (0)=i0

Q: sino e dxdy 8) I I Cos e drde 0 0

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :  (1)…

Q: di L+ Ri = E sin ot; when t = 0, i = 0. %3D %3D di

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Q: sin ot 0 <t < () = VI

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Q: TT Evaluate (? sin7 x dx 0. O A) I DON'T KNOW B) 35/16 C) NONE OF THESE D) 16/35

A: Solution-

Q: 4 dx x2 1/8 (Type an exact answer, using x as needed.)

A: We have to find the definite integral.   According to our guidelines we can solve only one question…

Q: Given that x=a(1 + sinc), y=a(1-cosc). Find an expression for d2y/dx2 leaving your answer in terms…

A: It is given that , x=a(1 + sinc), y=a(1-cosc). We have to find an expression for d2y/dx2 leaving…