Solve the fAllowing equetiun by cepuration of warnoble methal xQu-y Du t Zy = X Y glven uli,1)= 3 and Ox gluen uCl, 1) = 3 and uC 2,2) = 48 dy

Q: A fluid has density 1200 kg/m3 and flows with velocity ī measured in meters, and the components of ū…

A:

Q: If KN=2x+1 and NJ=3x+5, what value of x makes point N the centroid? K, J M

A: (1).   If in the given triangle N is the centroid then the point N divides the line HL, JK and LM in…

Q: UseThe Culerwe method's Sove the: dy %3D xCi+メ)。 y(0)=3,h=0.2

A: This is a problem of Numerical Analysis.

Q: Evaluate ze dV, where E is the portion of the ball centered at the origin of radius 5, x + y+< 25…

A: Given Where E is portion of the ball centered at origin, radius 5 and lies in first octant. In…

Q: A point moves along the intersection of the elliptic paraboloid z = 9x? + 3y² and the plane.x…

A:

Q: Let B be the ball with center at the origin and radius 1 SS $3(x² + y? + z²)dV = B

A: Solve integral by using Cylindrical cordinates

Q: evaluate by Sto ke's theorom Gcyzdx+ zx dy+ xydz),where Cis the Corve xày=1, z=y: [ Hint: §…

A: Solution:-

Q: 13-Evaluate JSS zdV E where E lies between the spheres x2 + y? + z² = 1and %3D x? + y? + z? = 4 in…

A:

Q: Evaluate ze*²+y²+z? dV, where E is the portion of the ball centered at the origin of radius 5, x2 +…

A:

Q: Türkçe: z = 16 - x? – y? paraboloidi, x? + y? = 8 silindiri ve xy-düzlemi ile sınırlandırılmış katı…

A: Given, z=16-x2-y2 paraboloidx2+y2=8 circle To find: Volume of solid

Q: S how that the line af intesection of the Planes and 5x-2y-Z=0 X+2y-22= 5 is Paralkel to thelime メ+3…

A:

Q: The vector (x, 2y, –3z) is normal to the surface x2 + 2y? – 32 – 4 = 0 at any point (x, y, z). - - -

A: Let's find.

Q: 2. Evaluate the triple in tegral where E is the y-2x2+2z20nd the plane y= 8. solid bounded by SI…

A:

Q: Let B be the ball with center at the origin and radius 1 SS [3(x² + y² + z²)dV =

A:

Q: WX || ZY and Zs Z and Y are supplementary WXYZ is a parallelogram Given: Prove: W Y

A: It is given that,  WX ¯|| ZY¯  and ∠Z and ∠Y are supplementary To prove :- WXYZ is a parallelogram

Q: Let B be the ball with center at the origin and radius 1 SS S6(x² + y² + z²)dV = 2 %3D B 12 167 24

A:

Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤ b, 0≤z≤ 1, find the one for…

A:

Q: y; x ve z nin bir fonksiyonu olarak aşağıdaki denklem ile kapalı olarak tanımlansın : 3x?ylnz= y? -…

A:

Q: Verify Green's theorem for Q7 [x(x? + y²)dx – y(3x² – y²)]dy Where C is the boundary of the triangle…

A:

Q: Show that the general solution to the two-dimensional Laplace's Equation. et = 0 is (Acosh(tx)…

A: We have to show that the general solution to the two-dimensional Laplace's Equation…

Q: Verify Stoke's for F = (2x – y)i – yz²j – y²zk where S is the upper half of the sphere x? + y? +z² =…

A: Solution is given below

Q: Wrons kiant y" + p(+) y # q (4) j'arlt)g =0 +q(4) j' +r (t)y=0 solotions of fifferential equations…

A: Determinant properties

Q: 1)calculate a*yz dædydz where D is the rectangular parallelepiped 1< « < 2,1 < y < 2,1 < z < 5

A:

Q: Use cylindrical coordinates to show that the volume of a sphere of radius a from which a central…

A: If a cylinder of radius b is cut from a sphere of radius a, then the volume of sphere depends on the…

Q: Let B be the ball with center at the origin and radius 1 SS S2(z² + y² + z²)dV = %3D 8M 16x 5. 24x

A:

Q: 8. Evaluate ze+y´+z² dV, where E is the portion of the ball centered at E the origin of radius 5, x?…

A:

Q: Find the orthogonal trojectories of y(sx +c) = 1.

A: Given query is to find the orthogonal trajectories to y (3x+c) = 1.

Q: 1 Evaluate dV, where E lines between the spheres a? + y? + z² = 25 and %3D x² + y? + z2 49 in the…

A:

Q: se the Divergenci Theored tobevaluhbe Sis the bSH cordinate planes whe re bounded end the planess…

A:

Q: 6- Evaluate the line integral fF - dr, where F = [ry, yz, xz] and C is the boundary of the…

A:

Q: 3. Evaluate ox?y dx + xy? dy using Green's y 2 Theorem, where C is positively oriented by line y =x…

A:

Q: Prove that dr-V3Ta? where こis the intersection of the plates: x²+ and and F=ly,Z,x)

A:

Q: : The curve C is intersecting by 12r² +9y? = 36 cylinder and - V3r plane from the point (0, 2,0) to…

A:

Q: WY = WZ bail M is the midpoint 40. Given: of YZ MX 1 WY MT 1 Zojpib tisz ow Prove: MX = MT 41.)…

A:

Q: 2 What Is the equatlon of the clrcle with a radius of 5 and center at (2, 3)? F (x + 2)2 + (y + 3)2…

A:

Q: O 9/ Compute I - [.lryz) , uhere s is the part g the plane y +x that lies inside the half-cylinder…

A: We know that, dS=1+∂z∂x2+∂z∂y2dydx where S is the part of plane z=y+x. ∂z∂x=1∂z∂y=1 dS=1+(1)2+(1)2…

Q: Evaluate the surface integral. JI (12 + y2 + 2) ds S is the part of the cylinder x2 + y2 = 9 that…

A:

Q: 5. USC cyllndrical coordinates. Evaluatc (k4)dv, where E IS the solid that ies betwern the cylinders…

A:

Q: Let S denote the part of the cylinder x2 + y² = 9 that lies between the planes r + y = 1 and x – y =…

A:

Q: Let B be the ball with center at the origin and radius 1 SSS 4(2² + y² + z?)dV = O 24 5. 127 16

A: We will evaluate the given integral.

Q: Let B be the ball with center at the origin and radius 1 SIS 4(z² + y² + z*)dv = B

A:

Q: The measurements x1 = 10m, x2 = 8m, and x3 = 6m represent the sides of a rectangular parallelepiped…

A:

Q: Evaluate dV, where E lines between the spheres a+ y + z = 9 and E 2 + y2 + z? x2 + y? + z2 = 16 in…

A: The answer is in step 2

Q: Note: Answer either Yes or No or Not-Applicable in the block provided. Consider the DE ry" – y' +y =…

A: We will find out the required values.

Q: Evaluate e dV where E is enclosed by the paraboloid z = 5 + x? + y?, the cylinder x? + y? 5, and the…

A:

Q: A fluid has density 600 kg/m3 and flows with velocity ū = ri + y. measured in meters, and the…

A: Here we have, Velocity v→=xi^+yj^+zk^ where x,y, and z are measured in meters.  the equation of…

Q: Let B be the ball with center at the origin and radius 1 SS $3(x² +y? + z²)dV = 16 12m 24m :5

A: