Write the equations in cylindrical coordinates. (a) 8x² + 8y2 - z² = 4 2 8p²- 2 = 4 (b) 9x - y + z = 3 9p cos (0) - p sin(0) + == 3

Q: a) y"- by"- 2y"+ 31 y' ty = -(y'ty) 6) gy" -15y" + 63y'- 27y= 0

A: This question is related to differential equation.

Q: (а) 8а + 2у + 32 %3D 0 (b) z = sin(x) + cos(y) (1) (c) z = sin 2+x2+y? (d) z = ey II 2. 10 2 0- -5…

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Q: Express the equation r = 3 cos 0- 12 sin 0 in Cartesian coordinates. (x² + y²) – 3r + 12y = 0 + y²)…

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Q: (a) Evaluate and locate the distinct solutions to (w)4 =-1. (b) Evaluate and locate the distinct…

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

Q: S52² +32° +22²-32 +2) dz

A: Solving the problem by finding the value of integration.

Q: solve the complex equation using demoviers theorem x' – 1 = 0

A: Given equation is  x^7 -1=0

Q: Write the equations in cylindrical coordinates. (a) 8x² + 8y2 - z² = 5 z = 8x2 - 5 (b) 4x - y + z =…

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Q: 8. (3x +y-2)dx (3x +y +4)dy = 0

A: we only solve one problem at a time so please post your question one by one.

Q: (77) (04-70° + 180² - 200+ 200+8) V = 0

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Q: b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-³), D (,0). Find the equation of the plane…

A: As per norms, we will be solving only one question. If you need an answer to others then kindly…

Q: Write the equations (a) (b) in cylindrical coordinates. 6x² − 8x + 6y² + z² = 9 z = 4x² - 4y² 128π

A: a) 6x2-8x+6y2+z2=9 b) z=4x2-4y2

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for S ¤(t)…

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Q: - Find the solution of the equation 3U, -5U, = 0 satisfying the condition U(0, y) = sin y

A: We have to find the solution to the given equation.

Q: Write the equations in cylindrical coordinates. (a) 6x² + 6y2 - z² = 8 2 6 (p²) + 6(p sin())² — = ²…

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Q: Write the equation z = 4-√√x² + y² in spherical coordinates. Op=4-tan(d) 4 P = cos(p) + sin(0)…

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Q: y" tý = -6xx 8 y²-y = et (² siux + 4 cos x) 9) ý - Ý x y" + y ² -4 y² - 4y = 3 = ³x - 4x-6.

A: Since you have posted multiple questions,  as per our guidelines we are supposed to be answered only…

Q: General Solutions (D2+2D+2)y=5cosx+10 sin2x

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Q: Find the solution. (у -х + ху сotx) dx + x dy %3D 0 A xy sinx = c + sinx - xcosx xy tanx = ccosy…

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Q: The equation (3xcos (3x) + sin(3x) – 3) dx + (2y + 5) dy = 0 is exact. Solve it. xsin (3x) + y + 5y…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find pairs of solutions of Laplace's equation, =0, based on these complex functions (a) ze2, (b) z*:…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3 Substitute Z=x+iy in Ze2z…

Q: The roots of the characteristic equation of (D2 – D + Dy3 0 are 11 = 2 + 3i and A2 = 2 - 3i.

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Q: Graph the equations 1. y= x²+4x+3/2x²+3x+1 2. y²= x+3/2x²+3x+2 3. r= sin 0+ 2cos²0 4. r²= sin2 0 -…

A: Note: It is assumed that questions 3, 4 are the functions of r and θ.   Any point on the Cartesian…

Q: Change from rectangular to spherical coordinates. (a) (0, -√3, 1) (p.0.0) =(√10 (6) (4.4, 4√6)…

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Q: ) (2ху — tanу)dx + (x* — хsec*y)dy 3D 0

A: Given: (2xy-tany)dx+(x2-xsec2y)dy=0

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Q: yo2y'tuy (2) +29+ S: A sinuk

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