u(x, y) = -e sin x - 2e* siny. Find a harmonic conjugate v of u, namely a function v such that the function u(x, y) + iv(x, y) is an analytic function, such that v(0,0) = 4. Justify all of your steps.

Q: Complete the parametric equations for the line where the planes-6x + 3y + 3z = -18 and -2x + 3z= -9…

A:

Q: Express Log (2) in Cartesian form (x+iy). Justify all of your steps.

A: Here we can use the formula  Logz=12logx2+y2+i tan-1yxwhere z=x+iy

Q: many black balls are need

A: The correct answer is: 200      N.B: For nth term, we need 2n black balls.

Q: Q38 T Xhas Poisson distribution and P(X = 0) = what is E(X).

A:

Q: -------0---8 2 5 and [B] 2 5 8 Multiply the matrices as follows g. {C}{D}T and

A: We can multiply two matrices only if number of column in first matrix is equal to the number of rows…

Q: (3) Find a fundamental set of solutions to xy" - (2x + 2)y' + (x + 2)y = 0 given that Y₁e is a…

A:

Q: {]- (1 = 42 X [-25-10) Ly 1 x(0) = 2 / y (0) = -6

A:

Q: Harv, the owner of Harv’s Meats, knows  that he must buy a new deboner machine in 4 years. The…

A:

Q: 2³ +4³ +6³ +...+(2n)³ = 2n²(n+1)²

A: The given result, 23+43+63+···+2n3=2n2n+12. We have to prove this result using mathematical…

Q: 100 Σ (3* + 2k - 1) k=1

A: ∑k=11003k+2k-1

Q: I am struggling to find the solution for the system x(t) and y(t), given the information highlighted…

A:

Q: Calculate -8 [ f(x)dx -10 g(x) dx = 11 -10 f¹⁰ f(x)dx = -1 f(x)dx= -18 -10 g(x) dx = 16 (2) ² (²…

A:

Q: Which of the following is not equivalent to the other three? Choose the correct answer below. O…

A: Four terms :1) Dependent variable2) Independent variable3) Predictor variable4) Explanatory variable

Q: 1. CS Three complex numbers are related as follows: MG=3+14 CM=5-12 Evaluated with CamScanner (a)…

A: Sol:- (a) To find CMG, we can simply multiply the given complex numbers:CMG = CM  MG  CG      =…

Q: Find all the solutions of the following equation 3z +(2-1)z=7+i in Cartesian form. Justify all of…

A:

Q: 6. Solve V²+1 = 0 for square region (a x a) here specified at the edges, take h = k = 2. Hint: no…

A:

Q: Since (7t^2) *e^(mt) - (7t^2) *sinh(at) = (t^2)(7e^(mt) - 7sinh(at)) What should you take the second…

A:

Q: 27. Let H be a subgroup of a group G and let g € G. Define a one-to-one map of H onto Hg. Prove that…

A:

Q: 1. Find the x and y-intercepts of these lines: a. r= = (3,1)+ t(-3,5), teR b. x = −6+2s and y = 3 -…

A: Lines :r→=3, 1+t-3, 5, t∈ℝx=-6+2s and y=3-2s, s∈ℝ

Q: Given an LC-circuit as d²q 1 dt² •+c9 = E sin 5t where C is the capacitance, L is the inductance and…

A:

Q: A pet food manufacturer produces two types of food: Regular and Premium. A 20kg bag of regular food…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: 1 Let P-3 -5 6 4 1 5 9 4 2 and V3 = 5 Complete parts (a) and (b). a. Find a basis {u₁, U₂, U3} for…

A: Transition matrix from basis B to C is related as below C=PC←BB

Q: 19) Write tanu as R linear power of

A:

Q: Find the equation y = ß0 + 1x of the least-squares line that best fits the given data points. 15)…

A: We need to find the equation y=β0+β1x of the least squares line that best fits the points…

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sini Let f ( x ) =…

A: Given that a polynomial f(x)=x2+5x+10.  We have to answer the following (a) When is the rate of…

Q: Consider the sequence with the following starting values a₁=2 ³₂=7 a3-10 4-10 a=6 a=3 a,=2 a. Graph…

A:

Q: 6. (a) Find the determinant of the matrix B = -2 0 1 1 -1 0 2 1 3 4 (b) Solve the system Bx = 0,…

A: Here for given 4 x 4 matrix we have to find the determinant of the matrix B. And find the solution…

Q: Suppose C (z) = 500 +23-1² is the cost function for a given product. Use the drop-down to answer the…

A: Since you have posted a multiple question according to guideline I will solve first(Q1)   question…

Q: In P2, find the change-of-coordinates matrix from the basis B = {1-3t+1²,2-5t + 31²,3 - 6t+7t²} to…

A:

Q: (a) Find all the solutions of the following equation 3z + (2 — i)z = 7+i in Cartesian form. Justify…

A:

Q: Using De Moivre's Theorem prove the following: tan(50) = 5 tan(0)-10 tan³ (0) + tan5(9) 1-10…

A:

Q: Consider the first order differential equation a. y(-6) = 2.6. help (inequalities) b. y(-1.5) = 6.4.…

A:

Q: a) Find F'(x) Consider the function F:[1,1]- R, F(x) = 1(1+1) dt b) Find the set A of critical…

A: Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: 2. Consider the iterated triple integral 2₂ (b) Sx²+²xz dz dx dy in Cartesian Coordinates. Sketch…

A:

Q: Suvery results for 3015 bread bakers were reviewed. Group one; Bakers who use unbleached flower…

A:

Q: why did u multiply C instead of B

A:

Q: Advance maths Prove for an n by n invertible matrix we have A( Adj (A) ) = Det (A) (I), where I is…

A:

Q: domain of the function, • Intervals on which the function is increasing and intervals on which it is…

A: Kindly NOTE: As per the company rule, we are supposed to solve the first three sub-parts of a…

Q: 3. Write as a sum of vectors, one in the span of and another orthoganal to 7. = [-³4] u= v=

A:

Q: 32. A die is thrown twice. Then the probability that 5 will come up at least once is: (a) 11 36

A: Since you have posted multiple questions, we will provide the  solution   only to the first question…

Q: Upload answer sheets ô²u ô'u Ôx² ây Solve the elliptic equation = 0 over a square region of side 4.…

A: Given pde with conditions:

Q: Find the inverse of the matrix A, if it exists. 0 3 3 3) A= -4 0 3 060

A: We are to find out the inverse of the matrix A

Q: Find an LU factorization of the matrix A. 3 5) A = 6 24 7 3 6 -5 22

A:

Q: Prove that (A ∪ B) − A = B − (A ∩ B) using: (a) the choose-an-element method (b) the algebra of set

A: We have to prove the set using two methods.

Q: Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 87000…

A: Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 87000…

Q: Solve the following initial value problem analytically (by hand). 3.3x3.4y, y (0) = −1 y' =

A:

Q: Optimize the function f(x,y) = 4x3 + y2 subject to the constraint 2x2 + y2 =1 using the method of…

A:

Q: standard representation of the delta function -2πiδ(a-b)

A: In mechanics, we come across problems where a very large force acts for a very small time. In the…

Q: singular value decomposition of the matrix A. 17) A-[4 40-4 A= -41 44

A: We have to find the singular value decomposition of the matrix A

Q: How many elements are in the one-dimensional array shown below? A[7]. A[8]. ..., A [¹45] O 66 O 55…

A: Since you have posted a multiple question according to guildlines I will solve first question for…