Iņ8 7 In (3y) *+y² -z dx dy dz 1 1 In (2y) In8 z In (3y) ex+y? -z dx dy dz =| 1 1 In (2y) (Type an exact answer.)

Q: 3 3 4 Evaluate the integral S [(?+y?+?)dz dy dx. 0 0 0 3 3 4 S[?÷+²)dz dy dx=O 0 0 0 (Type a…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 3 Evaluate x² 2 SOFT S S x² sin y dy dz dx

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Q: 1-X 1.S.S C14 X) dY dX (1-x) dy dx 1+X

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Q: `s): The area of the surface obtained by rotating the curve y = ln(3x - 2), for 3 ≤ x ≤ e², about…

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Q: Given: a = 0 – sin 0; y= 1- cos 0 d'y Find: dz2 O d'y 1 dz2 (1-cos 0) d'y 1 %3D dz2 (1-cos 0) O dy 1…

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Q: 5 0 2x +2 dy dx dz in the order dz dx dy 0 -1 0 5 0 2x+2 0 -1 0

A: Given that ∫05∫-10∫02x+2dydxdz The objective is to show that, ∫∫∫dzdxdy In the interval,…

Q: dy In(3x + 5) Find for y = - dx 8e3x dy %3D da

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Q: (a) ſ x sin(2+ x²) dx (b) Sí Зи du u²+u–2 (c) ſi z dx 2 x²+x+7 (d) * x²e-3x dx -Зх

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Q: I. Evaluate the following integral: 1. S dx 3 2х+7 2. S y²e2-2y* dy 3. S sec? (4 – 3x)dx

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Q: 19 271. dx y= 1-X) dy = -Ldx -dy= dx S-(-yei) y" dy 99 99 100 100 99 dy dy 100 %3D + R00 100 ). %3D…

A: Refer below

Q: 17. Let y = 4t² + 3, t = 6es and s = 1 + In x. Find in terms of x. dx 18. Given y = 5t (3 - t), t =…

A: Let's find.

Q: 4. dx J x Inx VInx2 -1 A C - sec-1 (In xx) + C sec-1 - In x sec-1 (In x) + C + C In x. sec-1 O A В E…

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Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

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Q: (х — Зу + 2)dx + 3(х + 3у — 4)dy —D 0 x-1 a. In[(x – 1)2 – 9(y – 1)²] – Arctan C 3 (у-1) | x-1 b.…

A: The differential equation of the form Mx, ydx+Nx, ydy=0 is called the differential equation with…

Q: Q3 Find and show the work for (x+3)(3x+2) dx. (a) х (b) F (sin(2x) – cos x) dx. (c) S(3x² + 2x +…

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Q: dz and dy dz Find 2° In (1+ xy

A: Given that:  z = x9 ln( 1 + xy-5/6). We find dz/dx and dz/dy. Here i attached solution of this…

Q: y=(1+2cot"x) 3 dy_ 8(1-2cot"x) dy 8(1+2cotx)° %3D dx 1-x dx 1+x? Op tion 3 Op tion 1 dy -8(1–2cot"…

A: Let's find.

Q: 1) x dy = y(1 + In y – In x) dx 2) y' – y tan x + y? cos x = 0

A: Given differential equation isxdy=y(1+lny-lnx)dx We need to solve the equation. Note:- According to…

Q: (ii) o S(2xy + z)dx dy dz z=-1 :0 Jx=1

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Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: 2. (y² cos x – sin x)dx + (2y sin x + 2)dy = 0 (Exact)

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Q: 6. General solution is y = x² In x + Ca² , EXERCISE 6. dy 2y = x? dx

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Q: 5. (1- xy)-dx + [y2 + x(1-xy)-]dy = 0 6. (y- cos?x)dx + cos x dy = 0

A: Exact differential equation. An ordinary differential equation Mx,ydx+Nx,ydy=0 is said to be an…

Q: 4. Find dy/dx for y = sinh v4x2 + 5 %3D

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Q: 2.x+5 -dx integralini hesaplayınız. (x-1)(x+2)

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Q: x+y, 9- (e* + In y)dx + (- )dy = 0 y +(x* + y*)e°'dy = 0 10- x(1+e')dx

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Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

Q: dy 2. if y = In(x² + 1) Then at x=1 %3D dx 2- 2 In 2 2- 1 1- 4- 1/2

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Q: Non-Exact DE (4x2 – 4xy + 3y² + 2x – 3y)dx + x(2x – 2y + 1)dy = 0

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Q: 3 2 Evaluate the integral| (4- y?) dy dx. 0 0 The value is (Type a simplified fraction.)

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Q: g) y² ex+y = cosh x + √rosh²x -1 +7 et h) (3 x y² + 4y) dx + (3 x²y² + 2x) dy = 0 I) sin x dy Sin 2x…

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Q: In |cxyl: 25 a(dy – dx) = x' dy + y dx; a constant. Ans. 2 arc tan (y/a) = In ¡c(x + a)/(x – a)|.…

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Q: dy = +-+1 dx y X separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

A: Let's solve given diffrential characteristics.

Q: 25. (x + 2y)dx + (2x + y) = 0 A. Exact B. Not Exact 26. (2xy2-3x2)dx + (x² + 2y)dy = 0 A. Exact B.…

A: as per bartleby guidelines i can solve only first 3 questions, please ask other separately

Q: 6) S sech? (2x- 3) dx | ex-e-x 7) S ex+e-x 8) S(eax – e-ax) dx sinh x 9) S dx 1+cosh x 10) ſ csch? x…

A: Given

Q: y 1) x(In x – In y)dy – ydx = 0 Ans: = c (Xie, 2010) %3D 1+In y-In x

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Q: 25. (y cos x + (2y sen x – xr + In y) dy = 0, y(0) = e 3xy – 2x) dx –

A: The given differential equation is: y2 cos x - 3x2y - 2xdx+2y sen x - x3 + ln ydy=0  ;…

Q: x2 – 1 If [*-- dx = x3 + x -dx + Jg(x)dx , then A+ J g(x)dx is equal to a. 1+ In5 O b. - 1 O c. -1 +…

A: Given: ∫x2-1x3+xdx=∫Axdx+∫g(x)dx

Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In A + (In V) (Inx)2 2) y = tan (x*)

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Q: (m) dy dx y separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none…

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Q: 01 ation. Solve (1-x²)x+m²y=0 dx where x = 0, y=0, dy- dx

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Q: 1-(x-1)? x+ y 2 x + y Evaluate the integral: dy dx

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Q: 1 If y = sin' x then is dx dy dy -3 cos x b) dx a) –3 sin² x cos x dx sin¯ x dy dy _ -3cosx = -3…

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Q: 9. (siny - ysinxy)dx + (xcosy-xsinxy)dy 0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 2 V4-x V4-x? S dz dy dx. Evaluate the integral 0 0

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Q: L sin x dx dy where A is the area shown in Figure 2.8. (п, 4) SLy dx dy where A is the area in…

A: Please see the explanation below

Q: 5. Find de for y = 3csc x + x2 dy On= -3ese(#)cot(2) + 1) dy = -3csc x)cot ( x 10 dx O 2) dy…

A: Given that: y=3cscx+5x2

Q: Can you help me step by step?

A: Let u=1+x^4

Q: dy y(In y-In x +1) dx

A: The solution of given homogeneous differential equation is written in step2.

Q: S cosh x · sinh x dx = Select one: cosh*x а. 4 cosh* x + c 4 b. sinh x С. O d. - sinh + c x

A: Explanation of the solution is given below....