b) Prove: Ifwis harmonic conjugate of V in a domain I and V is harmonic conjugate of u in a domain I, then u and ✓ are constant functions.

Q: Consider the function g defined by g(x, y) = sin (T /Ty) + log3 (x – 3y) Do as indicated. 1.…

A:

Q: The time required to repair a machine is an exponentially distributed random variable with mean of…

A: Given: λ=0.5

Q: dy Find for each equation and simplify fully. dx (17x² + B) (11x – A)° (а). у- (5x+4)°

A: Given                             y=17x2+B511x-A85x+46; A=4, B=8 we have to find derivative of the…

Q: 2) у(и? + 1)duи + (из — Зи)dy — 0

A:

Q: In a test of a sex-selection technique, results consisted of 242 female babies and 15 male babies.…

A: Number of female babies =242 Number of male babies = 15 Total babies = 242+15…

Q: 100 and o = 10, what X values separate the 2. For a normal distribution with u middle 95% from the…

A:

Q: 2. Find the mean of the probability distribution of the random variable X which can take only the…

A: Given :P(2)=310P(3)=25P(4)=15P(5)=110

Q: d) What impact does this change in the spam cutoff value have on the chance of each type of error in…

A: Here our hypothesis is that, H0: Not a spam v.s. HA: Email is spam. Now, we classify an email as a…

Q: Matt Murdock conducts a test of Ho: µ = 36 years and H1:µ<36 years at the a = 0.05 level. He finds a…

A: It is given that Level of significance = 0.05 P-value = 0.0268

Q: -x², x ER and g(x) x² + 2x+8, x ER: a write g(x) in the form (x + a)² +b, where a and b are…

A:

Q: by 2) Find the expression for F(z) while solving the recurrence relation 2yk+2 – 3yk+1 + 7yk = kak…

A: Given- Recurrence relation 2yk+2-3yk+1+7yk=kak  with initial conditions  y0=a , y1=b To find the…

Q: There is a shape at the centre of the structure from the floor to the roof. Below is the position of…

A:

Q: 5. Let A be a (3×3)-matrix with the characteristic polynomial pA(x) = (2 – x)(x² + 1– a²) for some a…

A: Solution (a):- Given Characteristic polynomial of matrix A =  (2-x)(x2+1-a2) But we have to find the…

Q: 1. Marcela and Lorenza agreed to go under one-month observation period. During the time, the fashion…

A: 1. The provided information is  Marcella takes 20 to 40 minutes to cut the basic cloth pattern. The…

Q: 2.f (t) = cosh wt sin wt

A:

Q: 3. Find the slope of the tangent line to r²e♥ + y²e² = 2e at (1,1).

A: Please see the answer below

Q: II. For every odd prime q, define Mg = 29-1. Let p be a prime divisor of Mq. 1) Prove that ord,2 =…

A: We shall use part 1 to solve this problem. And we shall also use basic facts about primes. Further…

Q: B. Graph the indicated n- tuples. Use graphing paper. 2. [-1 2 -3] 3. [10 -5 2) 4. [-4 -5 -3]

A: As required in your question post, we will plot these three points neatly in a 3-D graph.

Q: Exercise 20. Loan Payments A home mortgage of $400,000 with a fixed APR of 3.5% for 30 years (20a)…

A: Definition used-                                              PMT = P×APRn1-1+APRn(-nY)…

Q: In the muon lifetime experiment, we obtain a histogram for the recorded decays as function of the…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: 2. It is known from the records of the city schools that the standard deviation of Math test scores…

A: Given : sample size, n =200 sample mean, x̄ =75 population standard deviation,σ=15…