1 A=-1 -1 1 1 1 det A =

Q: 1/3 y = x¹, x = 0, y = 1; about y = 2

A: As per the question we are given a solid of revolution which is obtained by rotating the area…

Q: 4. Show that a sublinear functional p satisfies p(0) = 0 and p(-x) ≥-p(x).

A:

Q: 2) f(x)dx= 0.5 by using Simpson's rule with h = 0.5 then b= A 15 B2 CI D 2.5

A: Option c is correct

Q: Give an example of a differentiable function g: R→ R such that f is strictly increasing on R but g'…

A:

Q: 3:Use Gamma & Beta properties to evaluate : f (In x)³ dx

A: The gamma function is Γ(z)=∫0∞e-ttz-1dṭ The Gamma function is a non-integer generalization of the…

Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, 3 are positive…

A:

Q: QUESTION 6 Sanna and Obadia argued about the definition of .00 e-x Ldx Sanna split the integral as…

A:

Q: use Cauchy's residue theorem, where appropriate, to evaluate the given integral along the indicated…

A:

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A:

Q: Construct an angle XYZ of 105° with YX = 93 mm and YZ = 70 mm. Measure the length of XZ.

A:

Q: (1.) Sketch the solid S of integration of the given integral Q. Label its boundaries. (2.) Refer to…

A:

Q: b) Minimize z = (x₁ − 4)² + (x₂ −4)² : subject to x₁ + x₂ ≥ 5 -X1 2-6 -2x₂2-11 x₁ ≥ 0; x₂ ≥ 0

A: As per the policy , In multipart question we are allowed to solve first three part . So , I am…

Q: 8. Show that an isometric linear operator T: H→→ H satisfies T*T= I, where I is the identity…

A: Let T : H → H  be an isometric linear operator. We need to show that , T satisfies T* T = I We know…

Q: C. Identify each angle without actual measuring 2. 5. 4. 7 A four pairs 3 point c Analyze an L The…

A:

Q: C:1: Solve the following I.V.P. using Laplace transformation: y" - 2y - 5y = 5t-100 such that: y…

A:

Q: Determine whether the given linear operator/matrix is diagonalizable. (a) T : R³ → R³ with T(1, 1,…

A:

Q: 1. Let z, y ER" be given. (a) If ||z||||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1 and…

A: \documentclass{article}\usepackage{amsmath,amssymb}\begin{document} (a) Norm x=Norm y=1\\ Let angle…

Q: a. Find whether the following graph is Euler Graph or not. If it's an Euler Graph then find out…

A: We need to determine whether the given graph is Eulerian or not. We know that , a connected graph G…

Q: 0 9. f(t)=t-n 0 if t 2π

A:

Q: Find D (x") where m, n E N. Distinguish between the cases where m>n; m = n; and m<n,

A: To distinguish between the given cases :-

Q: QUESTION 1. Find the Laplace transform of the following functions. Here, represents con volution. a)…

A:

Q: Find solutions which satisfy initial conditions: 13. y"+y = 0, y(0) = 1, y'(0) = 0; 14. y"" y = 0, y…

A:

Q: 3. Find the maximum and minimum values of z-a - 1 āz on |2 <1 (where a with |a| < 1 is fixed)

A: Given: z-α1-αz To find: Maximum value

Q: Which of the following represents the general term of the sequence 2 1 3 5 6 12 20 30 42 56 7 9 ? 11…

A:

Q: Determine the convolution of the following signals using z-transform: 1,(0)-(-)-(4-1). 20)-[1-()*1.0…

A: As per the question we are given two discrete signals x1(n) , x2(n) And we have to find their…

Q: 2. Using (a) Jacobi Iterative Method and (b) Gauss-Seidel Method, obtain the solution to [12x₂ + 3x₂…

A:

Q: Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also…

A:

Q: 8*. For each of the following functions, determine which, if any, of the following conditions the…

A:

Q: Prove 10^47+67 is not a prime(use Fermat's). Thank you :)

A:

Q: x+4v-2z+

A: find the value of x,y,z using three equations

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

A: Solution

Q: | Example 8.11. Evaluate the integral the error with the exact value. dx using Simpson's 1/3rd rule.…

A: Please find step by step solution below

Q: Example 10.1. Using Picard's process of successive approximations, obtain a solution upto the fifth…

A: we need to solve this problem using picard's method.

Q: Example 10.10. Using modified Euler's method, find an approximate value of y when x = 0.3, given…

A: We can solve this using given information

Q: When A has full rank, the pseudo-inver en m≥n, and as A+ = AT (AAT)-¹ when n A = I, so A+ is a left…

A:

Q: Q10. Using Corollary 3.1.24 of the book, to prove that a graph G is bipartite if and only if a(H) =…

A: Given: α(H)=β'(H) To find: Isolated vertices

Q: If K is a finite extension of a field F, then the group G (KF) of F K is finite and o[G (KF)] ≤…

A:

Q: 1. Find the Fourier series representation of f(x) = { x ² 0, -π< x≤ 0 0<x< T X, **Box your answers…

A: According to guidelines we can solve only one problem.

Q: Show that the inner product (,) on an inner product space X is a bounded sesquilinear form h. What…

A: Given that X is an inner product space with an inner product ·,· defined on it. We know that a map…

Q: Using spherical coordinates, the volume of the solid inside the sphere 3√3 x² + y² + z² = 9 and…

A:

Q: Use separation of variables to find a product solution to the following ди ди = дх ду И=c - (;) Pu=q…

A: Partial differential equation is a differential equation in which there is one independent variable…

Q: Use Fermat's Little Theorem to compute 51990 mod 7.

A:

Q: Find general solutions 17. y" - 4y = -12x² + 6x - 4;

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. 16-22…

A:

Q: 2°) Write the volume integral of the solid bounded by 2 = √√√ x² + y²² and Z=√√2-x²-y²², in a)…

A:

Q: A space vehicle flies into a gravitational force field F(x, y, z)=-y(b²2² + a²y²)i + (b²r² + a²y)j…

A: The work done by a force field is equal to the dot product of the force field and the displacement…

Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

A: Solution:

Q: Example 9.16. A light elastic string stretched between two fixed nails 120 cm apart, carries 11…

A:

Q: ; Let x, y ER" be given. (a) lf ||x|| = ||y|| = 1 and x - y = 1, show that x = y. (b) If ||x|| ≤ 1…

A:

Q: Find the curl of = pz²cos(p)a+zsin²(p)a₂ O None of the choices O2zsin (4)…

A: