11. In the figure, ABCK is a rhombus, ACDF is a square and AKE is a right-angled triangle. AMD is a straight line and ZDAK = 15°. (a) Find ZCMD. (b) Find ZKHF. D B A C 15° M K H FE

Q: •) TT.). Suppose that X₁, X,... is an independent sequence and Y is measurable o(Xn, Xn+, ...)for…

A: From the above details we have,

Q: Given the following price-demand function, find the elasticity of demand, E(p), and determine…

A:

Q: Calculate the curl of the vector = (2x + 3y)i + (y+z)j + (xy + 2zx)k

A:

Q: The complex numbers an, n > 0, are defined by the condition that Σan (z-2i)" = 1+ 2z+3z² + Σ(n+1)z"…

A:

Q: Find the values of ln(z) 2)Z = -5

A:

Q: Q/Solve the following initial - Value Problem: хе x ex³dx + (x³²-1) dy=0

A:

Q: Find the angle between the two vectors A = i +j+ k and B = 2i+j-k

A: By using the formula of angle between two vector, we solve the given problem as in next step.

Q: show that a bounded Lineart on a complex Hilbert spase H is normal (i-eTT* = T*T) if and only if 11+…

A: We have to show that T  is normal if and only if ||T* x || = || Tx|| for all x € H. Using this, to…

Q: Find the directions in which the function f(x,y) = x²y + e* sin(y) Increase and decrease most…

A:

Q: The solution for the differential equation dy dx tan-¹x 1 1+x² (et - y is

A:

Q: B)ls w = z²1² analytical function or not?

A:

Q: Which of the following describes the difference between convolutions for Fourier transforms and…

A:

Q: a. Solve the ODE y" + 3y + 2y = 0. b. Use the method of undetermined coefficients to find a…

A: We can solve the given differential equation using method of undetermined coefficients. In this…

Q: When does an nth order, homogeneous, Cauchy-Euler equation anty(n) + an-1tn-ly(n-1) + +aity' + aoy =…

A: Given: nth order To find: Cauchy-Euler equation

Q: 5/ change the cartesian integral in an equvalant polor integral then evalute 2x-x² the polor…

A: First we change x and y into r, theta form means polar coordinates  x=rcos(theta) y=rsin(theta) Then…

Q: Determine the Fourier series defined by 1−x, -J<x<0 f(x) = = ₁ + x₂ 0<x< π 1 which is periodic of…

A:

Q: (a) (i) For the finite arithmetic sequence 5, 8, 11,..., 44. write down the first term a, the…

A: According to our guidelines i can solve only question (a) (i) (ii) From the above question we have.

Q: Construct a graph with vertices P, Q, R, S, T, U whose degrees are 4, 3, 2, 3, 3, 1 What is the edge…

A:

Q: SHOW DETAILED SOLUTION Find an LU decomposition of: a + b  + c = 1 4a + 3b  -1c = 6 3a + 5b+ 3c…

A: Sol LU decomposition : If we have a square matrix A, then an upper triangular matrix U can be…

Q: (9) Every primary ideal is a maximal ideal. От OF

A:

Q: A linear transformation T is onto if and only if the columns of its standard matrix are linearly…

A: A linear transformation T is onto if and only if the columns of its standard matrix are linearly…

Q: The graph G is a planar connected graph. It has 22 edges, and 15 vertices. How many faces does G…

A:

Q: 6. Find the Laplace transform of the following functions (b) g(t) = te"* sinh3t.

A: Introduction: The Laplace transformation is very significant integral transformation that is used…

Q: Determine if the graph is Hamiltonian or Eulerian. If the graph is Hamiltonian, find a Hamilton…

A: Number of vertices is 5. For every pair of vertices x and y, deg(x)+deg(y) is greater or equal to 5.…

Q: ensor analys

A:

Q: 6. Find the Laplace transform of the following functions (a) g(t) = et+2+ sint cost+to(t-2). (b)…

A:

Q: Consider M(x, y) + N(x, y) = 0. (a) Suppose we can find a function F = F(x, y) so that Fa = M and Fy…

A: see my solution

Q: . The general solution of the equation A. sin(x+y)+x² + 2y² = c D. sin(x+y)+2x+4y=c…

A:

Q: 1/ Find maximum,minimum Z= x³y³-12x + 3y + 12. ,and saddle point of the surface

A: Use the method of Lagrange multipliers to find maxima minima of the given function as in next step.

Q: < BF ۱ ۱۱

A:

Q: wave equation

A:

Q: State and prove archimedean property and it's corollaries

A:

Q: Prove that S. 8 dx √π 2

A: This question is related to integration using gamma function.

Q: Find the directions in which the function f(x, y) = x²y+exy sin(y) Increase and decrease most…

A:

Q: Q5: Find the general solution for the following second order differential equation: y" - 4y' + 4y =…

A:

Q: Q4. Solve the following by using Laplace Transform (i) sin 2te-t + 3 t5 - cosh t 2 t (ii) sin +…

A:

Q: dy 2.Find the solution to =x²-y², y(1)=0 at x=0.5 by modified Euler Method dx using h=0.1 and h=0.05…

A:

Q: L(Ci (x); p)= L

A:

Q: What calculator (things) shows one mathematical pattern? Make a brief explanation. a. bilateral…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: € N

A:

Q: Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other two…

A: Given, Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the…

Q: Q2) Find and sketch the trigonometric Fourier series corresponding to the saw tooth signal as shown…

A:

Q: 1) a) Evaluate the limit. 1 1 lim 3 x x+3 x-3

A: Introduction: The limit of a function is the base of differential calculus. When the independent…

Q: 1. Consider the following first-order ordinary differential equation 2,2 2x²y cos x dy + (2xy² cos x…

A:

Q: Convert to a cylindrical or spherical coordinate system.

A: Sometimes evaluation of triple integral in Cartesian coordinate system becomes very hard to solve.…

Q: a. Solve the initial value problem (x² - 1)y" + 4xy' + 2y = y(0) = -1, y'(0) = -5, given that 1 1 Yı…

A:

Q: Find the residue of 3 Z Z²-1 at z→ ∞

A:

Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: Reversing the order of integration fxsinydydx.

A:

Q: The modulus of 5 + 4i is * O-41 O-√41 O√41 041 The conjugate of (i-i²)³ is O-2-21 2+2i -2+2i Oi-1

A: