S(sec z tan z – 3z²)dz -secz – z³ +c sec z + x³ + c sec - * +с tan z + 1³ + c O - sec z + z° +c

Q: Let F = (3z + 3x²) i + (6y + 4z + 4 sin(y²))j + (3x + 4y +6e²² (a) Find curl F. curl F - (b) What…

A: We will use result of part c  which gives line integral in closed curve and combined it with line…

Q: c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

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Q: y" +2y = 2x+5-e-2r y""-6y"=3-cosa

A: These questions are about ordinary differential equation.

Q: dx Xex+10, Complete the Square.

A: Given,          ∫1x2+6x+10dx

Q: 5 Jlgu ntinuity equation satisfied by u= 3x^2-2y^2, v=-6xy IO 4xy+y?, v= 6xy+ 3y .II O U = u=x-4y,…

A: We have to solve given problem:

Q: If cos(4x – y) = x+y, then dx A -1 - sin(4x – y) 2+4 sin(4x-y) (B) sin(4x-y) 1 1+sin(4x-y) C) 1+4…

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Q: 100° |(x–10)* \(2y+24)°´ y is equal to _?

A:

Q: If u = x² tan equal to (a) (c) x - y x + y - 2 + V² 2 X X -, y x + y x - y x² + y² 2 X - y - y² tan…

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Q: How did he get the value inside the circle f(x, y)=x² + sin(xy) Vf=x*+sin(xy)) i+ d(x²+sin(xy)), dx…

A: given ∇f(1,0)=2i+j we have to find the direction in which the directional derivative has some value.

Q: B) Find (블)x,()'(일), Prthe Pte 2- w= x?+y-2 +sin z 3. w:x+y+2", ysinz+ z sin so

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

Q: -1 du 4) [cot-u] %3D 1+u2 dx dx d 5) 1 du [sec-1 u] %3D dx u vu2-1 dx -1 du 6) [csc-1 u] dx u vu2-1…

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Q: d du 1) (sin-1u] dx %3D 1-u2 dx -1 du 리는 [cos-1 ul = dx V1-u2 dx d 1 du 3) = [tan-1 u] dx %3D 1+u2…

A: I have solved first three part for other repost question

Q: ) 3(x+ y) dx + x(x*+ zy + uy) dy - o t.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2y y+cos x 2 + 2y + cosx Find f, if f(x, y) = (y)² COSX A O 2sinx (y)²secx + 2y + cosx C 1 (y)² + y…

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Q: tan - de 3 3 sec

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution for…

Q: The general solution of the equation (D*+D)y=-12 is y-+x+ccosx + c,ainx +6x ® y-c, + cx + cycosx +…

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Q: Find the solution. (y - cos?x)dx + cos x dy = 0 A) y (sin x +cos x) = c + x - tan x x (cos x + cot…

A: Solution

Q: Solve: (24x y- 15x y + 10 sin a cosa cosy) da + (40 y - 12 y-5 sin² a sin y) dy = 0 O 8a* y-3a y-5…

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Q: i) L-- (In) L- | s-3 6s+3 ii) L-1 iii) L(tet cos wt) s+1 sª+5s2+4,

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Q: daffəx and åf/ðy y) = x² – xy + y² v) = sin? (x – 3y)

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Q: Calculate the imaginary part of  ∮C(Re(z)+3.43)(1z^2+9z+11 / z)dz  where C:|z|=1  Use FOUR…

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Q: 2-g(%,y)%3D플-플 * at (VT ,1)

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Q: 28. (2A + B²)4

A:

Q: Use implicit differentiation to find dy/dx. 18) y cos = 4x + 4y - y sin A)- cos B) sin 4y 4y2 D)-…

A: 18.we have y cos(1y) =4x+4y⇒dydx(cos(1y) )+ysin(1y)×1y2dydx…

Q: Ar)- (xr+1 - })* + (%, – )* + (xr-1 - )* + (y. – )² + (x, – ) + (y+1 - }) + (x, – })* + (y.-1- }) -4…

A: Given that, Lhϕr, s=1△x2ϕr+1,s+ϕr-1, s+ϕr, s+1+ϕr, s-1-4ϕr,…

Q: Find y' and dy a) y = 7 sin (x² + 3x-3) y'= c) 7 y ² - 3x² = 4 dy dx = b) 2 y = X²³-4x+2 y' = De²y =…

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Q: 1 b)y" + y = ; 1+sinx

A: