wnich of the followi ng functrons is homogeneous? 5x - 12メy ty? Po.) sm xy Ci) eln xy 2

Q: Use špheričal čoördiñatės. Evaluate tet dv, where E is the portion of the unit ball x2 + y² + z² s 1…

A:

Q: Which among the following DE is/are homogeneous? * 2 punt i (X +2y)dk +(ax+y) dy =0 i dxyy = ytHl x…

A: We will find out the required solution .

Q: 1 in 1in y 1 in 3 in 1 in X

A: Consider the diagram and divide into four regions as shown below, Now, make a chart and evaluate…

Q: The functon T: RsR3 i dyenis ar follous tC") = AV = ]M] %3D 2 -2 os funis Tcr), where v= (2,) as…

A:

Q: Solve the given boundary value by using a = 0.05 ди a2u %3D at ax2 u(0, t) = u(n, t) = 0 ; 0 0

A:

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

A: Solution:-

Q: Let B be the sphere of radius 40 centered at the origin of IRº, and let C be the cylinder of radius…

A: We shall use cylindrical coordinates to find total volume of intersection.  The equation of cylinder…

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 / / /3zdV E where E is the solid enclosed by z = | and z = = x² + y?

A:

Q: A muliple regresion of y on a cnstant x and x produces the folloing resuls. j= 4 +0.Ax + 0.9%, R =…

A:

Q: Below is the solid Q bounded by the surfaces S,: x? +y? +z? = 4, S;: z = V3 and S,: y= x in the…

A:

Q: Consider The falloming Parumetric eguatin O54=?4V X Ct) Zsinct) +cos (t) Wing calulus , fund all the…

A:

Q: tind the value of the consrant (min) that makes the D-E j X dx -CyfmX) dy so (Homogeneous, exact,…

A:

Q: 1. Evaluate SSSE z dV where E lies between the spheres x2 + y? + 2² = 1 and a? + y² + z² = 4 in the…

A: Given, ∫∫∫EzdV where E lies between the spheres x2+y2+z2=1 and x2+y2+z2=4 in the first octant.

Q: A=LDU where D-) then the humber of special solubion s bo Ax =0 is equal a-1/b.e/c.2/d.camt be deubie…

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

Q: Evaluate y xz dV, where Wis the domain bounded by the elliptic cylinder = 1 and the sphere x? + y +…

A: We need to evaluate ∭Wxz dV, where W is the domain bounded by the elliptic cylinder x29+y216=1 and…

Q: Čopy of Given the following noninoar ordinary difforantial oquation, y+5y+2y2=f (1)· where f(t) = 3…

A:

Q: 1 Evaluate dV, where E lies between the spheres a? + y? + z? 25 and + y² + z? x² + y? + z? = 36 in…

A:

Q: 4. Find each volume. (a) A solid is being bounded by paraboloids z = 2x² + y? and z = 27 – x² – 2y?.…

A: We have to find the volume  from the given condition

Q: Evaluate f S S3zdV where E is the solid enclosed by z =1 and z = a? + y? 4 O 27 O

A:

Q: J() = p²sino In spherical moderniti. %3D True false

A: We have to solve given problems:

Q: W hich of the following is not a cylinder? Justify your answer. 4x² - z?= 1

A: Given that , the equation 4x2 - z2= 1 To determine given equations represent a cylinder.

Q: Use the method of undeterminad Coefficiento to slve the initial valene proalem : yo +Qy'+5y=cin…

A: The given initial value problem is              y''+2y'+5y=e-tsin(2t)  , y(0)=1, y'(0)=0 We find the…

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: 2 Evaluate the fullowng cartesianntegrat changing theminte equivalent Pelarintegrals: Fー dxdy 2-

A: We have to find the double integral using polar coordinates.

Q: Solve the DE, dy =y²-a? E, = , using the homogeneous method. ry (a) Hint: Rewrite the RHS as 2 -…

A: dydx=y2-x2xy⇒dydx=y2xy-x2xy⇒dydx=yx-xy⇒dydx=yx-yx-1 Now put, y=vx⇒dydx=v+x·dvdx

Q: Find b∈R such that ∫∫Ssin (b) ydS = 8, where S is the part of y^2 + z^2 = 4 that is between x = 0…

A: To find the value of b satisfying the given integral.

Q: Evaluate dV, where E lies between the spheres x + y² + z? = 16 and E x2 + y2 + z2 r + y + z 64 in…

A: Follow 2nd ,3rd step .

Q: Show that the area of the surface of the solid generated by revolving the cardie r = a(1- cos 0)…

A:

Q: 7. Let E be the region in R enclosed by the cone z = Va2 + y? and the paraboloid z = a2 + y?. Then…

A:

Q: 18. Use spherical coordinatcs Evaluate dV,where E is the portion of the unit ball X ty +z²<! that…

A:

Q: The integral JJI eV 4x2 + 4y² + 4z² dV = mt, where R is the solid hemisphere with x2 + y? + z² < 11…

A:

Q: 1- Find Aue Volume the Paralle RPed by usi+j-21k and V= -i_-k ,W = 2i44j-2K %3D

A: As we know that the volume of the parallelepiped is: V=u→·v→×w→ Given:…

Q: 1. Find the vohume.f the Solid. enclosed by. the parabeloids Z= x-+yand. Z.=.18.-xy. Ans.s.81...

A:

Q: Jraen fusk hon conespaaday to o d'u z ul) = flx). dx² Find the the egualido for conespoodiang to…

A: Given differential equation is d2udx2+u(x)=f(x)                   (1) boundary conditions are…

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: 16. Evaluate * :- S S $6(x² + y² + z? )dV В where B is the ball with center at the origin and radius…

A: (16).  We have to find the integral∫∫∫B 6x2+y2+z2 dV  ;      where B is the ball with center at…

Q: 1. Evaluate ſſ, y dS where S is the portion of the cylinder 4x² + 2y² = 16 %3D that lies between z =…

A: Given S is portion of cylinder 4x2+2y2=16 that lies between z=0 and z=7. Parametrize the surface s.…

Q: let A and B be matiices of Con det A) = -1 find the Valué of Cdet(z AT) - dct(-2B )) LA Pproxi mate…

A: Given:- det(A) =-1/2   ,  det(B) =2/3 To find:- [det(AT/5) -det(-2B-1)]2

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

A:

Q: (4) In the figure, Y is compact, BEX*Y. Show that T,(B)s TB) clesed X (T, is the nýuchikn funebran)…

A: Given that Y is compact and B⊂closedX×Y. The objective is to show that, π1B⊂closedX Let's define,…

Q: By making an appropriate change of variables, evaluate the double integral (x + y)e²"-v° drdy where…

A: Suppose that we want to integrate f(x,y) over the region R. Under the transformation the region…

Q: Q: A) Show Ih at W= a b qbceIR] is a Sub SP ceaf 2x2 ma mces SPace

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

Q: Evaluate || 4.nds , where A=zi+xj – 3y°zk and S is the surface of the cylinder x² + y =4 included in…

A: Let ∅=x2+y2-4  Then the normal to the surface S is ∇∅=2xi+2yj The unit normal is…

Q: find the valume 9tntrat ed by y= X? on [0,31 rotating abaut thlina X-5.(shell melthod) rated

A:

Q: Identify the Suef au in Spheei cal co -0rdinolis is give, by whose equetion ale 2 2 Co8 cylinder…

A:

Q: 1 SI. Evaluate dV, where E lies between the spheres x2 + y? + z? a2 + y? + z2 = 1 and æ? + y? + z²…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: 4. Evaluate x²dV G where G is a solid that lies in the first octant bounded by x? + y? = 3z and z =…

A:

Q: Consider the solid Q shown in the following figure 2.x + 3y + 3z = 6 S y? + x = 2 2 If S: 2x + 3y +…

A: The given surface is as follows: 2x+3y+3z=63z=6-2x-3yz=136-2x-3yz=2-23x-y The projection of the…