2) Find divergonce of the following functon Hoy,z) = xe ーZ ーD 472 リ+3yek

Q: get an 6Usc Thesrmn to show that -x gra) = 2 has a unique haed %3D point on

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

Q: 11. If BX is the bisector of LABC. LABX = (4x + 12)' and LXBC = 24°. Sketch an image and then se for…

A: Given,          If BX→ is the bisector of ∠ABC. ∠ABX=4x+12° and ∠XBC=24°.

Q: Sketch the grafph Following Funcfions Tor the :も L) 2=4- y bx+2y t3でンと *)モ x3+ +y2

A: Here we have to sketch the graph for the following function. i) 6x2+2y2+3z2=6j) z=x2+y2k) z=x3+y2L)…

Q: Femet Freome Derive the cond Torslon at hypacyeliodi. curvature bimomial imdiati: of the

A: We need to Derive the fernet frame, curvature and torsion o the binormal indicatrix of hypocycloid.

Q: find the funotion with hejp of a indegral meau value betw een 4,1] of g(x)=\xl-2

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Q: Y=√x, but is shifted to the right 1unit y =

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Q: Use Green's Theorem to evaluate pxcosydx – ysinxdy, where the curve C is the square with 0), (TT,…

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Q: use green's theorem to evaluate ∫c 5y^3dx-5x^3dy where C is the circle x^2+y^2=4 counterclockwise

A: Given: ∫c 5y^3dx-5x^3dy where C is the circle x^2+y^2=4

Q: Find the dimensions of the minimum-cost open-top rectangular tainer. (Let v* = 10 m³.) con-

A: Given. We need to find the dimension of a topless cuboidal container. Whose volume is 10m³ And…

Q: Find the family of orthogonal trageclarnes fo he for

A: Given that            y3 = k x5 Here we have to find the family of orthogonal trajectories to the…

Q: 4) Use Green's Theorem to evaluate f √1+x³dx + 2xydy. C is the triangle with vertices (0,0), (1,0),…

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Q: Use the reflaction principle lio find the mumber of 2. paths a So =2 for Bimple randon malk from to…

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Q: of the suface the in tasechon of what is the fomed by y?+ z?=l and x?+z?=\

A:

Q: 2. Given: WX = YZ; ZWXZ = ZYZX Prove: WXYZ is a parallelogram

A: Parallelogram

Q: 5. Verify that the. functrun.u=1/ xy2? satis fies the threendimensianal.place cop.x+Uyy.+Uzz =o %3!…

A: Rrrrrrrl

Q: A hransfoomation is definad by Hhe axa matox A=-a b-a atb Ifois an odd imtreger, prove %3D ushere a…

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

Q: The equation +y= 9 in 3-space is cylinder Select one TrueO FalseO

A:

Q: State where in the ty-plane the hypotheses of the Existence and Uniqueness Theorem are satisfied for…

A:

Q: 1. Construct the bisector of XY.

A: We need to draw bisector of line. AS per our guidelines we can not solve multiple questions so I am…

Q: 16. Obtain the toigonometric fouries seajes for A fit) > wt 277

A: The given image is of sine wave form. Here, period T=πand so, w0=2πT=2ππ=π

Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m =n = 3 subintervals, and use the Midpoint…

A: The midpoint rule for estimating a definite integral uses a Riemann sum with subintervals of equal…

Q: Consider a dihedral groop Dy=<agb: asb= (abj=1 Ds cuss all Dy and verify Subgooups of "Dy=…

A: See answer below.

Q: Use Greens Theorem to evalute fyx² dx + x²dy as shown below Leh Half of (0,5) +y-25 (0,-5)

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Q: Determine the negion in which the given 0quation is hyfebalic parabolic o8ellipkic, Uyy = %3D

A: determine the region  a) xuxx+uyy=x2 compairing with standard form  we get A=x, B=0 , C=1 now,…

Q: ☺ show dhat 2) G(x,x) => Uola) Uorlo) were G is green funcfion

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Q: Show that the following gu are harmonic and find its conjugate U = 3x²³y + 2x² - y²³-2y²

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Q: evaluate $ A. dš over the sphere R = 3 and show whether Divergence theorem holds or not. %3D

A: Calculate surface integral over R=3 or dr=0 ∮A→×ds→=∮R cos2θ,π,0×r2sinθdθdϕ,rdϕdr,rsinθdrdθ…

Q: - (つチ:O47unyzut C. the 91-で Letc yintercepts, pUO'gt 3tUl-人 the horizontal osymptotes, DUコ ちさ

A: Let's find.

Q: Compute the two Parbigls of each of the following funcbions 9 fcaxy) = J¢ + 3y b) Z = %3= Sin cacy)…

A: Note: As per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly…

Q: 731 5. In para 4. In parallelogram RSTU with diagonals RT and SU interesecting at M, if RM = 4x+3…

A: Use the fact that M is middle point of TR

Q: 2. 23 Find the deivahive 6f the funotion at Po in the direction of the vetor e : a) fCxig)= 87y-3y,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Sketch the bifurcation diagram for y = (A– 4t)y (where A is a parameter, as usual). 2

A: To find- Sketch the bifurcation diagram for y' = λ - 4t2y (where λ is a parameter, as usual)

Q: Show that the eight points of indersection t the cunve ny cn?-y2)+n²+y2-a?, and its amptotes Lie on…

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Q: 3. In parallelogram MNPQ, ZM = (5x + 5)° and ZP = (6x – 12)°. Prove that MNPQ is a rectangle. %3D

A: In parallelogram MNPQ,∠M=5x+5° and ∠P=6x-12°

Q: Find the Zero and its order for the funcation fcz) = 1 -Pit z te.

A: We know that, f(z) = (z-z0)n has zero of order n at z=z0, if f(z0)= 0

Q: 17) - Consider the quadrature formula Lira)dx =f(-) + 4 Lif(x)dx = 2. 5 3 If the degree of…

A: Use the degree of precision to assume the function. Determine the value of integral and the…

Q: 3. In AABC let AB + BC. Prove that the bisector of ZB and the per- pendicular bisector of AC meet in…

A:

Q: Find the area of on of the triangle that can drawn between the planes 3x – 6y – 2z = 15 - and 2r + y…

A: For any triangle that will lie between two planes, one point has to lie on a plane and the other two…

Q: show that the. following Complex functron is dis continuous at z=i. fCZ) = スー! %3D 3.

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Q: The Canonical form of a hyperbolic PDE is F (ξ, η , u, ug , un ) %3D False True

A: To check the given statement is true or false. Given that the canonical form of a hyperbolic PDE is…

Q: Describe the tronsformaton that must be performed, On the of y=&5)*-3 gaph of y= xh to Obtuin the…

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Q: (1) If O is not in Quadraut I and Sec e = V2 , find degres.

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Q: 9) suppose that horx)=1, f,(x)=x ond dz(X) Prove that Ba(f, - where Ba is a Bernyterh Polymomial.

A: Given functions are f0(x)=1, f1(x)=x and f2(x)=x2 Since Bernstein polynomial is…

Q: Show that the equadion Can also be obtaind from the fellowing squation 4(一 20 where and

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

Q: => For The Wbech Ualuo of E doas the Martrix イK %3D have one roal eaomalue of Mutiplicty?? k =

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Q: What are the perpendicular generators on (P) to 4 %3D of the surface

A: Given equation s are, x216-y24=z....1x3=y2=z-4...2 Equation of generators of the hyperboloid (1) are…

Q: Sketch the grapm of the pare cone (6) and Sketeh TE) and valve of f. quaph N't) at the %3D

A: For a vector valued function r→t=a(t)i→+b(t)j→, its unit tangent vector T→t and unit normal vector…

Q: Let fa) = x -1E Zs CxJ, wrte fX) as a produt of ireduclble polynomias as Zg.

A: Answer

Q: find the functon r that satisfies the following conditions rt)=;rli) = į rli)= 67,6,3> %3D

A: Given r'(t)=&lt;3t², 6t⁵, 4t³&gt; which satisfies  r(1)=&lt;7, 6, 3&gt;

Q: Find a bijection between the interval (−1, 1) and R.

A: