Consider A={z+iy € C: 1€R, y € R, z] <3, [y] <2}. The complex line integral 21 dz takes value: (A) 0 (B) (i-1) (C) 2mi (D) *(1 + i)

Q: #15. (par) Find the distance from the point Q to the line l. (a) Q = (2,-2), { with equation []=[2¹]…

A:

Q: = 1 + y², - 1 ≤t≤ 1, y(0) = 0. unique solution, find the solution. dy dt 1 + y² doesn't satisfy…

A:

Q: Find the reduced row eschelon form of the augmented matrix [A b] for A = rref ([A b]): = S= -1 1/3 1…

A: Augmented matrix A b=00-1-313-2-7

Q: The vector function r(t) is the position of a particle in space at time t. Determine the graph of…

A:

Q: Write an equation that is a necessary constraint so that the matrix equation Aă – ☎ has a solution.…

A:

Q: Write an equation that is a necessary constraint so that the matrix equation A = has a solution. -1…

A:

Q: Question 3. Determine whether the series n²+n+i (n-2i)4 71=1 100 and justify your anwer. (You may…

A:

Q: Use the circle graph to answer the following questions. a. Which is the largest continent? b. Which…

A: Given data are (in %) Earth's land of Asia=27 North America=15 Africa=19 South America=13…

Q: nd the equation of the circle having center at (2,3) and which touches x+y=1.   b.If…

A: The center of the circle is C(2,3).Also,line x+y-1=0 thuches the circle.Hence,the radius of the…

Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. r(t) = (e¹ sin t)i +…

A:

Q: Find A', B', (a 4)', (AB)' if a 7 and 43 10 A= B = *-:¦ 21 -1 1

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

Q: Given the heat equation, U₁=Uxx, 00 XX u(0,t)= u(2,t)=0, t≥0 u(x,0)=3x(2-x),

A: As per norms, we will be answering the first question. If you need an answer to others, then kindly…

Q: 2. For the vector field F(x, y, z) = (x²y, xyz, −x²y²) F(x, y, z)=(x2y,xyz,-x2 y 2 ), find: (a) div…

A:

Q: If a circle passes through the point (0, 0), (a, 0) and (0, b), then find its center. Prove that for…

A:

Q: 2.) (x +2y-1) dx - (2x +y - 5) dy = 0

A:

Q: suppose $100 was deposited at the EOY 2022 into an account that earns 7% interest compounded…

A:

Q: Note that a = 90-1-1-1=0, as required. Note that a₁ = 9a0 +8. Now assume that P(n) is true for all n…

A:

Q: -5 If A 5e³t 4 = [5₁3] and 2 = [53] -5 -3e³t Ax 0 , find Ax. Ꭺ

A:

Q: Prove that, for any sets A and B, it is true that A∪(A∩B) = A

A: We will do it by two different methods

Q: wrong answer po. please provide right answer. thank you!

A: The Formula for the Centroid of the y coordinate is  y=A1y1+A2y2+A3y3A1+A2+A3 Here A1=Area of…

Q: The extermals of the functional J[y] =√²² (y¹¹² y² + x²) dx sunder conditions: ex y lot=1,…

A:

Q: 3. Σ. Hint: Find an upper bound on the remainders of partial sums of the series. 2 One method begins…

A: The given series is ∑n=1∞1n2, and the given accuracy of estimate is 0.5 .   Given 1n2≤2n-2n+1   for…

Q: (20 Points) The exponential function f(x), whose graph is given below, can be written as . f(x) =…

A:

Q: Show directly from definition that if lim, 2- f(x) = 1 and lim, 2-g(x) 5. 4, then limx→2- f(x) ·…

A:

Q: h = Determine the value of h such that the matrix is the augmented matrix of a consistent linear…

A: The given augmented matrix of the linear system is 4-7|h-814|6. We have to find the value of h such…

Q: Use the method for solving equations of the form dy dx =√√11x+y-11 dy = G(ax + by) to solve the…

A:

Q: 25. Suppose the coefficient matrix of a system of linear equations has a pivot position in every…

A:

Q: Prove that there is no sequence of real numbers whose set of accumulatio Doints is exactly Q.

A: Answer given below.

Q: let the functional J[y] =) (y² + y ² ) dx, and the boundary Condition are y(a)=0, y(1) = sinh1,…

A: To find the extremal for the given functional

Q: 7. Use the graph of the function k(r) to answer the following problems. y = k(x) -5-4-2-2- 4 3 2 1…

A: 7. (a)       The equation of the line segment with end points -5,2  and  -1,-2 is…

Q: (a) (b) For which choice(s) of h are the following vectors linearly dependent? 2 [] H. [] 3 6 h 3 -5…

A:

Q: A contour map for a function f is shown. Estimate the value of f(3,9) 10- 5 80 fy(3,9)~ 1 160 2 240…

A:

Q: Find the equation of the planes that contains two lines given by L₁ :x=1-2t, y = 4 + t, z = t and…

A: Given that the lines are             L1: x=1-2t, y=4+t, z=t, L2: x=2-3t, y=1+4t, x=2-t. To find the…

Q: formula ((P⇒Q) ^P) ⇒Q is valid (a tautology). Determine which of the following arguments are valid…

A:

Q: For positive integers n ≥ 1, consider the functions 2 A (a) Show that (b) Show that Sn(x) = ㅠ [ Sn =…

A: Given: snx=2πsinnx. To show,: (a) ∫0πsnx2dx=1 for all n. (b) ∫0πsnxsmxdx=1 for all n≠m.

Q: 4) CJ Describe the geometric meaning of the following moppings in cylindrical coordinates: (r₁e₁z)…

A: Answer given below.

Q: Determine the force P required to force the 13° wedge under the 72-kg uniform crate which rests…

A:

Q: how did you determine your t values for the piecewise function?

A: Given that yc=0t≤0ce-1tt&gt;0 Here "y" is a Piecewise function.

Q: A new iPhone is estimated to lose 25% of its value every six months after is purchase. The cost of…

A:

Q: The x- and y-coordinates of a moving particle are given by the parametric equations below. Find the…

A:

Q: the number (n) of bacteria in a colony after h hours is given by the formula n = re are 1200…

A:

Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

A: Since you have uploaded multiple questions according to our guidelines we have solved first question…

Q: Laplace quation a corresponding analytic function. 4. Find the analytic function f(z) given that…

A:

Q: A random variable X takes three values 0, 1, and 2 with probabilities and respectively. Obtain the…

A:

Q: A hand-held calculator will suffice for Problems 1 through 10, where an initial value problem and…

A: The given function is  y'=-y, y0=2 ; yx=2e-x We have to find approximate solutions and actual…

Q: There are approximately 3,000 bass in a lake. The population grows at a rate of 2% per year.  Round…

A: The average rate of change is defined as a measure of how much a function change per unit on an…

Q: -3 [73] 4 -2 Av= -3x + 3y or 4x - 2y✔ o 4(A3) = (| –12x+12yv ở, 16x−8y, ở Let A = Enter the…

A:

Q: 10. Let X be the set of real numbers, and let d be the pseudometric given by d(x, y) = 1 if ry, and…

A:

Q: Problem 5 For each of the following matrices A, find eigenvalues and eigenvectors (using Mathe-…

A: As per policy at a time only one question can be answered, please repost other questions with…

Q: y Describe the geometric meaning of the following moppings in cylindrical coordinates: (r₁e₁z) →…

A: Answer given below.