The roots of the charactericte polynomial of o linear, homogeneous,constnt coefficdent equation as gluen. According to thisi 3,3,2 +hi has been a) Find the general solution of the equation b) Find the chorocteristic polynomial of the equation c)W hich order is the equation ? Write the equation. )IC equotion f)- 1P0x+1be Equation in hormogeneous with he 2x nonhomogeneous term if converted, find the generol Colu tion.

Q: M=N

A: answer is in next step

Q: Use De Moivre's theorem to find the following: 4 i. [1+ v3i]" -3 ii. [-1+ v3 i]

A: Given that: i. [1+3i]4 ii. [-1+3i]-3

Q: find An eignuector of the matix 12 17 2 VZ V3 19 2 J3 -VIT -2 Ji

A:

Q: The graph of ax + by + cz = 0 is a plane through the origin (provided that not all of a, b, and c…

A: The graph of ax+by+cz=0 is a plane through theorgin. Then show that two planes through the orginhave…

Q: 21) Find the area of a triangle fosmed from the twovectors a = L'+2j-k-.

A: Given, a ⇀=i+2j-kb⇀ =2i-j+4k

Q: Aforce F: 2i+j-3K is applied to a space craft with Velocig V. 3L-J- Express FasThe Sum of aretor…

A: F = 2 i + j - 3k,v = 3 i -j

Q: Let a < c < b and s(x) be a cubic spline with a single node c. Suppose s(x) = 0 on [a, c] Show that…

A: Cubic Interpolation Polynomial : Let  for  be the points satisfying the function . The cubic spline…

Q: Solve the Divichlet BUP Per an annulus Satisfying Pde: urr +t ur tte Yoo=0 Acr<2, ニo ノ acOc2た

A:

Q: fj+1 - fj-1 2Ax Assuming a uniform grid spacing of Ax, derive a finite difference approximation to…

A:

Q: Find the volume of a parallelepiped spanned by 2i - 5j - 7k, i-k and 9i – 3k.

A:

Q: Recall that the rational plane is defined to be P = Q x Q, and that a line consists of those pairs…

A: It is given that Recall that the rational plane is defined to be P = Q x Q, and that a line consists…

Q: EX Find the reglon in the z-plane represented bye

A: Given

Q: Six equal rods AB, BC, CD, DE, FE and FA are each of weight W md are freely jointed at there…

A:

Q: .Six equal rods AB, BC, CD, DE, FE and FA are each of weight W mnd are freely jointed at there…

A:

Q: Among all rectangular solids defined by the inequalities 0sxsa, Osysb, 0szs 1, find the one for…

A:

Q: b- Let X₁, X2,.... Xn b (a) Find a complete (b) Find the UMVU

A: Solution:   (a):

Q: Use the Euler Lagrange Multiplier to find three positive integers x, y, and z that satisfy the given…

A: Solution is given below:

Q: Exercises 13-15 prove the three possible cases of Theorem 9-8. In each case you are given chord TA…

A:

Q: JK in the coordinate plane has endpoints with coordinates (-4,11) and (8, -1). Find all possible…

A:

Q: 2.2 cubic dm of basis is to drawn into a Cylinder wire 0.50 cm in Diameter. Find the length of the…

A:

Q: Six equal rods AB, BC, CD, DE, FE and FA are each of weight W mnd are freely jointed at there…

A:

Q: 2 b) Prove that Imz=0, larg z - 41= 4, 2-ž =0, 1Z-il=1Ztil are different equations all describing…

A: If we let z=x+iy then We will show that y=0 which is the equation of real axis.

Q: 2. Find a unitvedctor with positive z-component porpendcular to the plane 2xt2y-2=3 Z-C

A: We will find out the required value.

Q: 2. Show that ( 1, 6), (0, 3), (1, 2), and (2, 3) lie on a common parabola.Hint: For scratch work,…

A:

Q: Solve the Fol| owing linear ryctems completely and nece ssary solutions. Computations. show all 3x 2…

A:

Q: Find the trace of the plane 9x – 9y + 11z = 5 in the coordinate xz-plane. (Use symbolic notation and…

A:

Q: prove Theorem 4P.1 Theorem 4P.1 There are exactly six lines in the four-point geometry.

A: The known fact is that in four point geometry, any two distinct points have exactly one line on both…

Q: . Six equal rods AB, BC, CD, DE, FE and FA are each of weight W and are freely jointed at there…

A:

Q: Show that (−1, 6), (0, 3), (1, 2), and (2, 3) lie on a common parabola.Hint: For scratch work, plug…

A: Consider the three points (−1, 6), (0, 3) and (1, 2). Substitute the above three points in the…

Q: AB and AC are two chords of a circle of radius r such that AB = 2AC. If p and q are the distances of…

A: Given in a circle of radius r, there are two chords AB and AC such that AB=2AC. Also, the distance…

Q: Let u = and Compute the area of the parallelogram determined by four 3. II

A:

Q: b. Test that the roots OF Hre folluwing poly nomial sn fis f tht Fent fational root Hicarem P(x) =…

A:

Q: .Six equal rods AB, BC, CD, DE, FE and FA are each of weight W and are freely jointed at there…

A:

Q: 10. Which theorem can you prove, given that mzl=m2 in the figure above? Explain your answer.

A:

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: A cube of cheese from Italy with edge measure of 1 was cut by Mickey using a plane in a manner that…

A: Let us assume the the cordinates OA= OB= OC= 1

Q: R. find he Corficient of

A: We need to find coeffiient.

Q: Ques. Apply a change of vaviable X=Py txansforms Hhe quuardratic form 2. into a quadratic form with…

A: Consider  Rx=5x12+6x22+7x32+4x1x2-4x2x3 In matrix form: XTAX=x1x2x352026-20-27x1x2x3 Here,…

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: pisectors of the $ABE and $ACD Tet ABC is a triongle, D and E are Roints on ĀB and AC, nespectively.…

A: Given a triangle ABC. Some points D, E, F are given. We need to prove an equation. Let's start.

Q: The distance from the point K(3, -2, 0) to the xz- plane is Select one: O-2 O √13 O 0 02 None of…

A: We need to find out the distance between the given point and xz plane.

Q: Using Euler’s formula but not using Kuratowski’s Theorem, prove that K5 and K3;3 are not planar.

A: We need to prove K5 and K3,3 are non planar graphs. For that we must use Euler's formula. The…

Q: A natural cubic spline is defined by [a, (x – 1)' + b, (x – 1)² +c, (x – 1) + d, f(x) = if 0<x<1 (x…

A:

Q: Find the set of points that is satisfied the condition described by |z – 2i|+ |z + 4i| = 10

A:

Q: 5A Here are 3 solids. A cross section of this right square pyramid formed by a horizontal plane…

A: Concept: Cross-section formed by intersecting the solid by vertical or horizontal plane :…

Q: Solve the problem for w(r, θ) in a unit disk ∆w = 0, in 0 < r < 1, w(1, θ) = x2 + y, on r = 1.…

A: Consider the provided question,

Q: 3. Find all the roots of z³ + 1 = 0 and sketch them on the Argand plane

A:

Q: Describe your plan for proving the following.

A: Given that AM=MP and ∠AMP=90o. X can be thought of as a plane ground and AM is perpendicular (pole…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.