4 Compute |w using w= - 3 - 4

Q: 0 2 4 6 2 3 4 5 If A = Compute C1(A). 2589 3 2 1 7

A:

Q: In(z,) – In(-V3 – 1) = -In(2) – 1

A: given the argument ∅ of the complex number -3-i as -5π6.and also the modulus of a complex number say…

Q: (b) Prove or disprove: Z10 ~ Z5 x Z₂.

A: We shall solve first question only as you have asked more than one unrelated question. For others…

Q: compute E(x), o 1 3 4 P(x) 0.16 0.25 0.19 0.29 0.06 2.

A:

Q: Let X - N(2, 4). Calculate P[X2 – 4X < 4].

A: P(X2-4X≤4)=0.7602

Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

A:

Q: b) Show that XNOT =

A:

Q: Prove that S3 = Inn(S3) = Aut(S3).

A:

Q: 3 Let A = -6 -1 -2 and v = -6- -2 3 Av = -6 2 -9 Ex: 5 s v in null(A)? Select an option

A:

Q: Compute P (Z < -1.32).

A: Z-score = -1.32

Q: 4. Conclude that n2 n=1 ||

A:

Q: 1 Compute the quantity, w, using w= - 1 w•w - 7

A:

Q: Suppose Z∼N(0,1). Then P(2 ≤ Z ≤ 3) is the same as

A:

Q: 2. Show that cÃ=cA.

A:

Q: #16 Compute P99 #18 Compute C83

A:

Q: Evaluate O O O O K|4 2 6 wo|= • S² +2²+1 dt. - 3

A: Here is the solution:

Q: Prove that in Q(/-5) we have (3,1+ 2v-5)(3, 1 – 2-5) = (3).

A: To show the equality, first we take an element of the product and show that it is in (3) and then we…

Q: Prove that in Q(V-5) we have (3,1+ 2/-5)(3, 1 – 2v-5) = (3).

A:

Q: 2. Determine the following sets: a) {r €R: (3n EN\{0}) 2n – 1 < nx < 7n - 2} b) {r ER: (Vn EN\{0})…

A: An interval is nothing but a subset of the set of real numbers. When the two endpoints are included…

Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

Q: Show that when |z +1| < 1,z² =1+£(n +1)(z+1)" n=1

A:

Q: 6. Compute 1,= de for p= 0,1 10

A:

Q: . Compute P(2)q(3) +n.

A:

Q: 28. Compute Ak where A = [4.-3] 2 - 3.

A:

Q: 32y- 154-25x= o 152 =120 2と72 3 23 3. 23 3.130437783 %3D 120 55 23 ニ 23 Y-5.217 391304

A: Solve simultaneous  linear equation

Q: 2. Compute A2021 where 2 1 (a) A = 1 2 0 1 (b) A =

A:

Q: 5.1. Show that y2 , V2 , and v3 + V2 algebraic. are

A: We will use definition of algebraic numbers

Q: Compute L^−1{ 2e^−3s/s^2+3s+2}

A: Given,            L-12e-3ss2+3s+2

Q: 2. Compute the convolution of the following signals for n 20 n n x1(n) = and x2 (n) = (;)" u(n) n…

A: Consider the expression of . Determine the z-transform of .

Q: 8. Find x in AHJK. K 60° 30° J O 5 V2 O 5 V3 О 10

A:

Q: Show that MP-1 (n) + (m+1) Pm+1 (n). - (2m +1) " Pm (n] =>

A: The objective is prove that mpm-1x + m+1pm+1x - 2m+1 x pmx = 0. To show the given result we will use…

Q: 2) Find VH if DH=1 U H G

A:

Q: S Sech (ax-

A: Evaluating the integral of hyperbolic function using substitution.

Q: FinD Z 1. to #a-z°

A: Givenz=-2

Q: Let n e Z. n#-1,3,

A:

Q: Show that 3n2+8nlogn is big-Oh (n²)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: [2 Compute: 1 4 2 - . Preview

A: Solving the problem by finding the the multiplication of the given matrices.

Q: 6. Show directly that inf(B) = 1 for B {N =: 4+1} -

A: The given expression is,  B = {1+1/n : n belong to N}

Q: Show that (m) (2n 4n n

A: As n → ∞, By Striling approximation formula n! tends to  sqrt(2 pie n) (n/e)^n

Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

A:

Q: If X~N(0,1) then X2~

A: In question,  Given that X~N(0,1). Then we'll find the distribution of X2. he solution is below,

Q: Compute (12.3 – x x) for the following set ofn = 5 values. X1 = 0, x2 = 4.1, x3 = 5.5, x4 = 0.6, x5…

A:

Q: b) Prove or disprove: Z10 ~ Z5 x Z₂.

A:

Q: 1 Compute S = k(k +2) k=1

A:

Q: Show that r(r+3) Hence, Show that 1 +. 2.5 1 1-4 3-6 n(n+3) n+3 n+2 n+1

A: Using series

Q: Expand In t(x²+1) (x+2) (x-s)² X-5

A:

Q: let Z ∈ N (10.2) calculate P (Z  ≥ 7.5) and determine E (2 Z2 - 200)

A: # random variable z follow normal distribution with mean mu=10, standard deviations=2  1): to find…

Q: 5. (a) Evaluate : Lt (b) x→0 1- 1-x

A:

Q: 3). Show that 1 1+p 2 3+2p 1+ 3p+ 2q = 1 3 6+3p 1+ 6p+ 3q 1+p+q

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.