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

Q: M=N

A: answer is in next step

Q: Given: Parallelogram LIFE Prove: Z1 and ZF are supplementary ZF and ZE are supplementary ZE and ZL…

A:

Q: A natural cubic spline S on (0,2] is defined by Jsin - 1+2-r. S) = if Osr<l. |S,0) = 2+ b - 1) + cư…

A:

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: 8 If C is a circle of radius r with centre z,, in the complex z-plane and if n is a non-zero…

A:

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length 1. Show that one can…

A: To solve this problem we use the Pigeonhole principle . Pigeonhole principle : If there are m holes…

Q: has its vertex at the origin and has directrix at z = 38

A:

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

A:

Q: Use Picard's theorem, find the largest interval for which the IVP y y(0) = 1, %3D x² +x – 6' has a…

A: Given that, y''=yx2+x-6,y(0)=1 Let F(x,y,y')=yx2+x-6 Then, ∂f∂y=1x2+x-6 Since,∂f∂y=0,…

Q: Find the asymptoles of the funchon given Hx)= x²- 5x+6 below X-2

A:

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length ... 1. Show that one…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

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

A:

Q: 3. Find all the fixed points and classify cach of them: f(r,u) ryev,

A: Solution:- Fx,y=xye-x2-y2 Put Fx=0 and Fy=0 Fx=e-x2-y2y-2x2=0and Fy=y-2y2 e-x2-y2=0 So,  0,0,12,12,…

Q: for the Me quaton of the tagant bie kr the when al Curve

A: We use the definition of the equation of tangent line to the curve y= f(x), at point   (x0 , y0 ) to…

Q: 4. In the diagram below, Ĝl is parallel to NT, and IN intersects GT at A. Prove: AGIA~ATNA

A: Given :GI is parallel to NT

Q: By sketching the appropriate loci on an Argand diagram, find the value of z that satisfies |z|=13…

A: For the solution follow the next step.

Q: Find to the the equation du green funclion corresponding pula)=fex) conditions U(o) =0 with and…

A:

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

A:

Q: Show that the function f(z) = from [0, 0) to [0, ∞) has a fixed point c. Hint: Set f(r) = z and show…

A:

Q: 3. Consider the ra greater across z =1-r² - y² plane and the s and a paramet

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: 1. Find the area of the part of the planer+ 2u + 3z = 1 that lies inside the cylinder x2 + y? = 3.

A:

Q: Let z2T3-L p=S+Si O fird all the complex mumbers %3D guien by hza

A:

Q: show that fGx) = C,ex +C,e* s a solution to y for all real conatanto C, +C2, and then find C,, C,…

A:

Q: graup Consider a dibedral 2. Du= carb: d=b-(ab)"%=D1> Discuss all passible Commulators 'and verify…

A:

Q: Consider the hyperbolic PDE shown below = 4- at? For a value of At=0.1, what are the values of Ax…

A:

Q: show that the. fallowing Complex functron is dis continuous at z=? 121 1 fCZ) = スー! %3D 3. %3D

A: Topic:- limit and continuity

Q: Sketch the solid described by the given inequalities. 3sps 4, os ps a/3, 0S0SR 1.5 21.0 0.5 00…

A:

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

A: We will find out the required value.

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: 3 If C is a circle of radius r with centre z, in the complex z-plane and if n is a non-zero integer…

A: Consider the given integral as, ∮dzz-z0n+1

Q: of the b) nd y- Fons c) with point.

A:

Q: Wrhe a polynemial equation with integer confidents that has the given rots.

A: Given: We have the roots of the given equation If roots of the equation x=a and  x=b then we write…

Q: Express the following tunctrons in the form u+iv f(2)=In (I+z)

A: Solve the given problem.

Q: consider the curue desoribed by 2y"-x²_4y vevity that the foint (4-25 les on this o8 wrE andd find…

A:

Q: Given F=. By using Gauss's theorem, find f F ds for a paraboloid x = 4-y² - 2² with x ≥ 0 as shown…

A: We are given  F=-3x+1+z3,y+1+x3,6z+xy So, the divergence of F is div…

Q: 6. A cable for a su sp en si on bridge has the sh ape of a parabol a with eqation y = kx². Let h…

A: Solve the above problem.

Q: Qsit Prove that the Centre of a gp îs noymal. of

A:

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

A:

Q: Draw the isoclines with their direction markers and sketch several solution curves, including the…

A: According to the given information, it is required to draw the isoclines with direction makers and…

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: Consider the 2nd order PDE -3u +6xu-3u w=cos(x). XX ху yy (a Determine the regions in the xy-plane…

A: Consider the PDE: -3uxx+6xuxy-3uyy=cosx. A second order PDE of the form…

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: 12 In the diagram below, GI is parallel to NT. and IN intersects GT at A. A G Prove: AGIA~ ATNA

A: Consider the given triangles, In this diagram GI∥NT and IN intersects GT in A.

Q: r = √3 − 2cos θ.

A:

Q: Given: G is midpoint of IE 21 = 2 Prove: ATIG = AREG 2 1. 3,

A: Given that, G is the midpoint of IE¯ So IG¯=GE¯ ∠I=∠E∠1=∠2