Let D = 4xyäx + 4yzäy + 2(x² + y²)āz C/m². Find the total charge enclosed in the rectangular parallelepiped 0

Q: ⒸV-R² of α₁ [:] , *₁ [i] · <= [-] V=R²³² at = L₂= L3= let it be. Show that {2₁, 22, 23 } in V is a…

A: Given vectors are α1=101, α2=011, α3=1-12 The vectors α1, α2, α3 in V is basis, if  the matrix form…

Q: (ey + 1) cosx dx + esinx dy = 0 [Answer: (e + 1) sinx = = c] X (1 + e) dx + ež (1) dy = 0 [Answer :…

A: Since you have asked multiple question , we will solve first question for you. If you want any…

Q: Give one indicated root (2√3 - 2i)¹/2 a. 2 cis 330° b. 2 cis 67.5° c. 2 cis 165° d. 2 cis 167.5°

A: We have to solve given problems:

Q: f (x-2)(x+1)' dx

A:

Q: 1 1 1 Give U V Given that u = 1 - 2i and v= −2+ i, find z such that your answer in the form of a +…

A:

Q: √√x-2 (x² − x + 1)² - Q.3 If f(x) = - Find (a) The intervals on which f is increasing, (b) The…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Find the value of 1-1/16 (x² + y²) dy dx + ſ', [~ ² * (x² + y²) dy de by expressing it as one…

A: From, the given integral, draw the region of integration.

Q: Find d3f where f(x, y, z) = ln(x + y − z) + cos(x2y)

A: As per the question we are given a multivariate function as : f(x, y, z) = ln(x + y − z) + cos(x2y)…

Q: Let S be the surface defined by the vector function R(u, v) = (v + 4, 4u - v, uv²). Set up an…

A:

Q: (a) Use Gauss Jordan elimination method to solve the system of linear equations given by AX= B where…

A:

Q: 1. Determine the Inverse Matrix of the following using the 5 steps and Gauss - Jordan Method. i. A =…

A: INTRODUCTION: The row reduction approach for solving systems of linear equations is the name given…

Q: 1. The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: 14. Evaluate a. 2/3 b. 2/9 C. 34 d. 4/9 r(7/3) r(1/3)

A:

Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

A: First we will find the eigenvalues and eigenvectors of coefficient matrix A and form the general…

Q: Find the general solution of the differential equation y" + 2y + 5y = 2 sin(2t). NOTE: Use c₁ and ce…

A:

Q: Question function r(t) = (1+ In 1, ¹3,-3e-3¹). Find the integral / r(t)dt. Consider the curve which…

A:

Q: Consider a smooth function f such that f'(0) = -2. Given the following approximations of order 2 of…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The weights of newborn babies are distributed normally, with a mean of approximately 115 oz and a…

A:

Q: 1. Define if the given series is converges 2n-1 n+2n+7 2. Find if the given series is absolutely or…

A:

Q: Iwant to define these Poin (Defined) 1-) sobolve spaces 2-) Reflexive real Banach SPace

A:

Q: f(x) = x-14, x ≥ 14 x 14 x None of these

A: We need to rewrite the function: f(x)=x-14 as a compound function.

Q: 5. (1-x) (dy/dx) + xy = xy". Ans. cy=(1-y)√(1-x)

A:

Q: The velocity of a faster asteroid is given as a function of time in this table: Time (second)…

A: Given the velocity of an asteroid at different time intervals. Also the velocity equation is given…

Q: Use the method of undetermined coefficients to determine only the form of a particular solution for…

A:

Q: Consider the following equation: log(10)x = e(-x) a) Demonstrate that the given equation has only…

A:

Q: 31 du + 2p (d) + (P²72²)=0 [AA: Y = EPK (C₁ Coqque С2 Sінан]

A: The given problem is to solve the given homogeneous linear differential equation. Given differential…

Q: Find the Laplace transformation of the unit impulse function 8(t-22017) and The unit step function…

A:

Q: Evaluate the following matrices: 1. Co-factor Matrix E 2. A*E

A:

Q: 1. (A population model) Consider the differential equation dP dt -P(2P-1)(P-3) where P(t) is the…

A: Given differential equation is dPdt=19P(2P-1)(P-3), where P(t) is the population (in thousands) at…

Q: 13. Evaluate 10 r(7) 3Г(4)

A: Given the term Γ(7)3Γ(4) We have to evaluate the value of this term.

Q: (b) Find the volume of the solid obtained by rotating the region bounded by the curve y=x²+x-2, y =…

A:

Q: 5. Solve for one value of x in x cubed - 8 = 0. a. 1 + 1 sqrt of 3 b. -3 c. -2 d. -1 - sqrt of 3

A: To find- Solve for one value of x in x3 - 8 = 0 1 + i3 -3 -2 -1 - 3   Formula Used-  a3 - b3 = a…

Q: A. Find the vector equation of a line tangent to r(t) = (t², t², t³) at t = 1. B. Determine whether…

A: A parametrization of the line through a point a and parallel to the vector v is l(t)=a+tv. Setting…

Q: Let V be a vector space over some field F and let L = {V₁, V₂, ..., Uk} CV be a finite linearly…

A:

Q: (b) Show that U (x, y) = eu cos v, V(x, y) = eusin v are conjugate harmonic of each other if f = u +…

A: It is given that,  f = u+iv  is analytic. We have to show that,  U(x, y) = eu cos v  and  V(x, y) =…

Q: 1. dy ==2(y+1);=3y-x+e³; t=0; x = 1;y=1 dt dx dt

A: solution is given below:

Q: Consider the function f(x) = and the data (2,0.25), (3,0.167), (4,0.125) 2x 1) Find Lagrange…

A: 1] Lagrange Interpolating polynomial formula for the data x 2 3 4 y 0.25 0.167 0.125…

Q: 1) Let V = Q3[x] and let W = Q2[x]. Consider the transformation T: V → W defined by (a) d T(f) =…

A:

Q: Julie wants to buy burgers and juice for her and her friends. Each burger costs Php 15 while each…

A: We need to formulate a system of inequalities for the given scenario and then solve the system by…

Q: y=1/5x^3 -square root of x^2+1 find the domain, x and y intercept, where it increasing and…

A: Given function is f(x)=15x3-x2+1   To Find: The domain, x and y intercept, and where the function is…

Q: 1. In an experiment with t = 4 population means and sample sizes of n₁ = 5, n2 = 6, n3 = 4, and n4 =…

A: a. Consider the given four linear combinations of the sample means,…

Q: At a given moment, a plane passes directly above a radar station at an altitude of 7 km. The plane's…

A:

Q: Optimum Control Problem using Hamiltonian 2. min_ J = √²³ (y₂ + u² − µ₁U₂)dt • s. t. Y′₁ = U₁_ Y₁(0)…

A: As per the question we are given an optimization problem of a multiple input multiple output (MIMO)…

Q: The following differential equation- O True O False dz xt-y 1+1 is an ordinary differential…

A:

Q: 11. Based on the given graph, determine the zeros of the function and note if multiplicity is odd or…

A:

Q: . Find the domain of the following functions: m (1) y=log (16-x²); (2) y = arcsin x+; (3) y = x-3…

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: 2) [3 d A) Solve the IVP: dy dx (2x − 4)- - - 2 ln 5x + 2y = 0, y(3) = 3. B) Give the largest…

A:

Q: Let X be the solution region for the system of inequalities (x². +9y² - 18y ≤ 0 y² + 2y-x² > 0 i.…

A: The system of inequalities is provided as: x2+9y2-18y≤0     y2+2y-x2&gt;0 The solution region is X…

Q: Find a polar equation for the conic that has its focus at the pole and satisfies the…

A: We need to determine the polar equation of the hyperbola which has its focus at pole, e=54 and the…

Q: PROBLEM 1: Given the function f(x) = e²x + 1: (1) Determine the Taylor series expansion (5th…

A: Here we will use Taylor series of  a function f(x) about x=a f(x)=fa…