3 Find ³√3+4i

Q: 22. Prove that the set = {(₁ ~ ) 1} x) | : x, y ≤ R, x² + y² = 1 = SO(2) = forms an abelian group…

A: Given: 22. SO(2)=x-yyx : x, y∈ℝ, x2+y2=1 To show: The given set is a group with respect to…

Q: x(t) = 4 + 3t Find a plane through the point (2,-3,7) and orthogonal to the line y(t) = 2 - 3t z(t)…

A:

Q: 9x²-x+2. 1. Show that a-2 is a factor of z³-6x² +12r -8. ntor of 6x² + 5x³

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

Q: - 1 X If lim ([sin ¹x] + [2²sin ¹' (2x)] + [3³ sin-¹ (30)] x →0 X X + [x²³sin-¹ (x2x)]) + ... +…

A:

Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

A: Sol:- For positive x -axis:- Vector = (1,0,0) & GIVEN F = (-170, 120, -80) -170120-80,…

Q: Q4: Find the following sequence: Then Make sketch of -3 x(n) = 3n[u(n+3)-u(n-4)] y(n) = x(2n-3)

A: Given below clear explanation

Q: 1. When a ball is thrown, the horizontal distance travelled, d, in meters, can be modelled by the…

A:

Q: K Express the given set using the roster method. The set of natural numbers less than or equal to 8.…

A: We are given that, The set of natural numbers less than or equal to 8. We have to write the roster…

Q: 2. A parachutist jumps out of a plane. Her height, in metres, above the ground after t seconds is…

A: As per the guidelines we are allowed to solve maximum three sub-parts so i am solving first three…

Q: Q Consider the boundary _y"(x) + y(x) = x Exact solution Value Problem When with exact solution.…

A:

Q: Line integrals can look a lot alike! But they represent very different things. Consider: (i) [f ds…

A: Given That  Different Representation of Line Integral is as follows : i) ∫Cfdsii) ∫CF·driii) ∫nF·nds…

Q: .) Consider the following function F: R → R given by {- F(x) = if x 0, lim-0 F(x+A) = F(x)) (b)…

A: What is Density Function: In probability theory, the probability that a random variable will fall…

Q: The following table shows the results of similar calculations of the average velocity over…

A: To Find: Average velocity when t is going close to 4 sec. To Find: Instantaneous velocity when…

Q: Consider the solid Q that is generated in the first octant by the surfaces (See image 1). One of the…

A: What is Surface: A surface is a mathematical representation of the everyday idea of a surface.…

Q: he initial tableau of a linear programming problem is given. Use the simplex method to solve the…

A: From the third row, it is clear that it is not optimal table.

Q: If a € RN and oTax ≤ √√₁9² * V vector. (a) maximize or such that (b) maximize ar such that (c)…

A: Given below clear explanation.

Q: 6 0 -1 -3 23*2 4 -3.0 2 4 -5 -13х2

A: As per the question we are given an expression consisting of two 3×2 matrices and their linear…

Q: Use the mehod of Frobenius to obtain two linearly independent series solutions about a regular…

A:

Q: 5. Define x = 0 and X+1 = x, -[(tan x,-1)/sec²x]. What is lim x? Relate this to 11-400 Newton's…

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

Q: Consider the quadratic function Ga+ba in four variables, where 2 -1 -1 2 --(-:-) -1 -1 2 -1 -1 G = 2…

A: As per the question we are given a quadratic function in four variables as : (1/2)xTGx + bTx Where…

Q: 19. What is the value of (pk) when p is prime and k is a positive integer?

A: We know that the value of the Euler ϕ-function at the positive integer n is defined to be the number…

Q: 6. Devise a Newton algorithm for computing the fifth root of any positive real number.

A: Given : Positive real number  To Find : Algorithm of Newton method  for fifth root  NOTE : According…

Q: The line of action of the 2690-lb force runs through the points A and B as shown in the figure.…

A: The slope: m of a line that passes through the points: x1, y1 and x2, y2 is calculated using the…

Q: Create a proof for the following argument, using the implication rules and replacement rules. 1. ADB…

A: To find- Create a proof for the following argument, using the implication and replacement rules. 1.…

Q: The slope of the 4.0 kN force F is specified as shown in the figure. Express F as a vector in terms…

A: We will find component of force F along x-axis and y-axis and represent F in vector form .

Q: ose ƒ : [a,b] → R is an increasing function, meaning that c, d = [a,b] with d implies f(c) ≤ f(d).…

A:

Q: 6x3 - 19x² + 8x + 5 = 0.

A: What is Equation: An equation is a mathematical expression which on the left hand side contains a…

Q: 2. y Insin(x-A) +B; y″ + (y')² +1=0

A: What is Differential Equation A differential equation is an equation that involves the derivatives…

Q: QUESTION 1 Four forces act on a bolt A as shown in Figure 1. Determine the resultant of the forces…

A: On any body when the resolving forc: The force F is moving towards the angle then the resolve force…

Q: Suppose that p is false, but q is true. Which of the following statements are also true? Select all…

A: Given the statement p is false, but q is true.

Q: Consider the differential equation: √√√y + y = When solving the previous equation, the parametric…

A: What is Ordinary Differential Equation: An ordinary differential equation is an equation that…

Q: 13 0 Problem3: Suppose M | 1 20 004 024 a = 2,B of (B) Әр - B₁ B₂ B3 (a) Let f(B)=B'MB-a'ß. Express…

A: It is given that M=130120004, a=024, and β=β1β2β3.

Q: Example 19.18. Find the cube i Argund diagram A TutorBin

A: We have to find cube roots of unity and then we need to show that these roots will form an…

Q: K Find the cardinal number for the given set. A={6, 9, 12,...,42} The cardinal number is. (Type a…

A:

Q: Evaluate √√ √1 + x² + y² dS where S is the helicoid: r(u, v) = u cos(v)i + u sin(v)j + vk, with 0 ≤…

A: We will use surface integral of parametric surface  ∫∫Sfx,y,zdS=∫∫Dfru,vru× rvdA D the range of the…

Q: 5. (a) Suppose 1 and Xn+1 = 2 Show that {n} converges and find the limit. X1 for all nEN.

A:

Q: 4. What is the purpose of the following iteration formula? Xn+1 = 2x₁-x²R₁ where R is a non-zero…

A: given iteration xn+1=2xn-xn2R            ...i it is known that, newton formula is xn+1=xn-ynyn'…

Q: Charlie goes to his piggy bank and finds 35 coins, all nickels and quarters, worth $5.15. Which…

A: Let N be the number of nickels and Q be the number of quarters. In total Charlie found 35 coins. So,…

Q: Shade the region of the Venn Diagram indicated by the following sets.. (i)r (ii) (iii) A B C (A'U B)…

A: (i) First we find A'∪B The blue shade is A'∪B. Now we find (A'∪B)∩C Blue part is the shade for…

Q: 2. Find the general solution to the system of equations whose augmented matrix is given below by…

A:

Q: - q)^¬(pq) → ¬(q→ p). Λ -

A: Given clear explanation below

Q: differentiate [x2+2][2x+3][1-4x] w.r.t x

A: We know that ddxxn=nxn-1 and ddxlnx=1x. We need to differentiate the expression: x2+22x+31-4x with…

Q: Consider the following election: 13 8 10 19 1st choice ACC B 2nd choice BABA 3rd choice CBA C a) How…

A:

Q: K Breakdown of tattooed Americans by Party Affiliation and Gender 572 Democrats 446 Republicans 382…

A: Given below clear explanation

Q: Let HK ≤G and L≤ G. Show that HOLKL. Also, if L< G. prove that HL/LA KL/L. Assume that H≤K ≤G and N…

A: What is Normal Subgroup: A subgroup of a group is referred to as normal if it satisfies a certain…

Q: -, Let f(x, y) 3 ln(x) + y where (x, y) = R. Consider the following constraint maximization problem:…

A: Given below clear explanation

Q: Let an 20 for all n and suppose Σan converges. Prove that √an ΣΥ n converges. Hints: One way to do…

A:

Q: 11. Fill-in the box. Given: Rectangle ABCD with diagonals line MA and line RK R Proof: A M Prove:…

A: We need to prove MR ≅ AK

Q: Let f(z) be the principal branch of (z)^⅓, find f(-i)

A: What is Principal Branch: A function that chooses one branch of a multi-valued function is known as…

Q: Q10.  Find the roots algebraically by factoring:  a) x3 – 8x2-3x +90 b) x3 – 64

A: