1. Determine whether the relation R defined on R by xRy iff x - y = q for some q € Q is reflexive, symmetric, transitive. Is it an equivalence relation? Mark and justify your answers. R is reflexive / not reflexive because R is symmetric / not symmetric because R is transitive / not transitive because R is an equivalence relation / not an equivalence relation

Q: If %₁ 7e45i and z2 = 300i, then the quotient = 22 X.

A: The given complex numbers z1=7e45i and z2=e300 i. To find the quotient of the complex numbers z1z2.

Q: O ўту x(0) + two (x) g (0) = one zero four (et)

A: The  given  equation  is  dxdt=6x-3y+8et…

Q: Shamrock's Sports Store has a customer loyalty program in which it issues points to customers for…

A: Given information is  1) Points issued in 2023: 1,032,0002) Sales for 2023: $344,0003) Redemption…

Q: f M₁₁ = ¹4 Lix places x 5x Sin ² (x) dx mid pont ruste n=4 round 4 decimal

A:

Q: A university is trying to determine what price to charge for tickets to football games. At a price…

A: To determine the demand function, we can use the given information that every decrease of $3 in…

Q: Solve the following Laplace equation in polar coordinates (r, 0). 8² u + Ər² 1 du 1 8²u + rər r² 20²…

A:

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sini how do you find…

A: We have to find the derivative of f(x)=xπ3-3xπ

Q: 31. Let F(x,y,z)-c4¹+tan 2,4x¹2-4y'>. Use the Divergence Theorem to evaluate the flux through S,…

A: The given integral is as follows, Fx,y,z = 4z2x,43y3 + tan z, 4x2x -4y2

Q: Give the probability distribution for the indicated random variable. HINT [See Example 3.] (Enter…

A: Given the probability distribution for the indicated random variable,  Three fair coins are tossed,…

Q: 5. Towns Aville and Bville are located at the points A(0,0) and B(8,4) in the plane and a waterfall…

A:

Q: Question 2 (a) Find all the analytic functions for which Justify all of your steps. (b) Prove that…

A:

Q: If G={a} is a cyclic group of order 8, then  find the quotient groups corresponding to  the…

A: Given that G=<a> is a cyclic group of order 8, then we have to find the quotient groups…

Q: . A particle is moving along the curve r(t) = (t + t², t², 2t - t2), where t≥ 0. (a) Does the…

A:

Q: 4. (10 points) Let u₁ = , U₂ = - 12₁²-4₁ , V2 = on R2 whose matrix representation with respect to…

A: Given two bases of R2:

Q: Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2√2, 4), where g(x, y)…

A: The given functions gx, y=1x+y2, x=8r cosθ, y=11r sinθ. We have to find the value of ∂g∂θ|r, θ at…

Q: Write out the first 5 terms of the following sequences: 00 сos (nn)) {an 2n {an = n sin n=0 mi- 2 80…

A:

Q: show using simple induction that any natural n (including 0) can be rewritten as n = ek * 3k + ... +…

A:

Q: d. If f(x) is reflected over the x-axis, moved 7 units to the right, and 4 units down, what is the…

A: The solution is given by

Q: Below, in the first three questions, A and B denote sets. (a) Prove or disprove, using any method,…

A: As asked, we shall solve only part (a). The statement given in part (a) is FALSE. Take A={1,2} and…

Q: Ut = Uxx, 0 0, u(0, t) = 0, u(1, t) = 0, t > 0, u(x, 0) = x(1-x), 0<x< 1

A:

Q: The function P(x, y) = 6xy-4x²-3y² +100 is to be Question #18 maximized using the constraintx+3y=19

A:

Q: Let F= (4xyz + ay2, 2r²: + bry, 2r²y), where a and b are real-valued constants, be the velocity…

A: Bartleby Guideline :-“Since you have posted a question with multiple sub parts, we willprovide the…

Q: (b) Let v₁,..., Um be a list of vectors in a linear space. Define what is understood by saying that…

A:

Q: 3. The water at a local beach has an average depth of 1 meter at low tide. The average depth of the…

A:

Q: By recognizing the series ((3/4))² ((3/4))³ 2 3 -((3/4)) — as a Taylor series evaluated at a…

A: The given series -34-3422-3433-·····-34nn-···· We have to find the sum of the convergent series…

Q: Determine the inverse Fourier transform of the function f(w): = eziw 5+iw

A:

Q: (c) Prove that A (BA) = A- B, but this time using definitions only (of sets, set operations, set…

A: We have to prove A-B∩A=A-B

Q: t is the direction of fastest increase at (-3, 4, -4) for the function f(x, y, z) = 1 x² + y² + z²

A: We have to find the direction of faster increase at (-3,4,-4)

Q: Find the general solution of the following. dy y dx = x-y

A: The differential equation is:dydx=yx-y We have to solve the given differential equation.

Q: In fall 2014, 36% of applicants with a Math SAT of 700 or more were admitted by a certain…

A: Given in fall 2014, 36% of applicants with a Math SAT of 700 or more were admitted by a certain…

Q: Q4/ Given point P(r= 0.8, 0 = 30¹, p = 45.) and E= 1/2² [cos & a+ (sin / sin 0) a.], find (a) E at…

A: As per the question, we have a point P given in spherical coordinates and a vector field E. We need…

Q: 16 S Use the Fundamental Theorem of Calculus to find cos(x) √√x³ dx =

A:

Q: Exercise 10-6. Let u= (12) and v= (12345). Find vuv-¹, v²uv-2, and ບ°uv3.

A:

Q: Use the scenario below for questions 23-26. Julianna's House of Furniture: Decision Variables X₁ #…

A:

Q: (c) 303x + 204y = 6.

A:

Q: In an election, suppose that 45% of voters support a school levy increase. If we poll 125 of these…

A:

Q: In a certain year, 58% of all Caucasians in the U.S., 54% of all African-Americans, 56% of all…

A:

Q: For any integer N21, the sum of the first N integers, given by Σ₁=1+2+ + N, equals N(N+1)/2.

A: We have to prove that sum of first positive N integers is N(N+1)/2. We will prove it by mathematical…

Q: 14. Find the difference by regrouping 316-49-

A:

Q: Let > 0 and 6 > 0 be real numbers that satisfy e' (1+a+²) = eª (1+b+ 2 ) eb Prove or disprove that a…

A: Its given that a&gt;0 and b&gt;0. We have to prove or disprove that eb1+a+a22=ea1+b+b22 is satisfied…

Q: 1. Find the values of a for which the series for those values of a. n=0 (x + 3)" 2n converges. Find…

A:

Q: Subject:- Advance maths   Suppose f(x)=x^(2) and g(x)=((1)/(3)x)^(2). Which statement best compares…

A: fx=x2gx=x32

Q: (b) Prove that A (BA) = A - B using the set identities provided in Table 1.5.1 of ZyBooks as well as…

A: Here we have to show, A- (B ∩ A) = A - B Using set identities and set substraction law.

Q: y = 1 X nerdstudy

A: Given function is y=f(x)=1x. We shall first state the definitions of both even and odd functions. A…

Q: In Problems 6-10, let R be the region bounded by the semicircle x=√4-y² and the y-axis. Each problem…

A: R is the region bounded by semicircle x=4-y2  that is perpendicular to the y-axis.  To Find: Write…

Q: Problem: Consider the three different triples of three-dimensional vectors x, y and z in the grids…

A: See that in the third diagram, all the three vectors x→, y→ and z→ are in the same plane. Hence the…

Q: Determine SSy dA When R is a R by y=lnxiy=1; x=0; y=0 region bounded

A: The given problem is to evaluate the given integral of y over the given region R. Given region…

Q: 316. It is a fact that the square root of 2 is the same as the fourth root of 4 in other words,…

A:

Q: Two passenger planes leave the same airport at the same time. The first travels at a heading of 85°…

A:

Q: (a) (i) Use Trapezoidal Approximation to estimate mum error of 10-³. -3x 3e dx with a maxi- 1 -3x…

A: We need to solve integral problem with maximum error 10-3. Formula for the maximum error in the…