Find the equation of the plane passing through the three points A = (-1,0,2), B = (2,–1,2), C = (3, –3, –3). а. х — Зу— z %3D —3 O b. x+ 3y – z = -3 c. x+ 3y+ z = 3 O d. -x + 3y – z = 3

Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis b. the…

A: We have to find the area of the region bounded by the curve y = x³ - x² - 2x A) the x-axis b) the…

Q: (-2 1 Consider the matrix A 2 1 and vectors x = |1 and y: (-1 Let vector v be defined as v = (A – A'…

A: Here given matrix  A=-210021-100 Then  AT=-20-1120010 Thus A-AT=-210021-100--20-1120010=011-101-1-10

Q: I asked 5 questions tonight and this is the first one that I for a correct answer.

A: If an object is moving from x=a to x=b, then the work done by the force F is calculated by the…

Q: Hi, I can't read this at all :(

A: We have to solve the given initial-boundary value problem modelling the vibration of a string with…

Q: 3. f(t)=1®+b+a cosh /21 + bsinh /21

A: 3 Given function is ft=ta+b+acosh2t+bsinh2t. We have to find the Lft. Take Laplace transform of both…

Q: Can you explain part (ii) more? just like a basic step by step explanation of everything that…

A: As per the question we are given two functions  α(x) , β(x) And we have to find the derivative of…

Q: Q2/A) Find the particular solution for the following D.E., the boundary condition is (y-0@x-0) dy…

A:

Q: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

A:

Q: est the series for convergence or divergence using the Alternating Series Test. Σ (-1)" + 1 Vn+3 n=0…

A: In this question, the concept of convergence is applied. Convergence The feature of approaching a…

Q: what happened to the (7(s+1)e^-s)/s^2? why is the answer just (7e^-s)/s

A:

Q: Consider the following two matrices 1 2 1 1 3 1 3 A = -2 B = | 0 1 1 0 0 0 1 Select one: a. both A…

A: In row echelon form number of preceding zeroes increase in consecutive rows.  In row reduced echelon…

Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…

A:

Q: (b) Explain how the function f(x) = log(x + 3) can be graphed by using transformation of the graph…

A: (b) Given function isfx=logx+3The graph can be transformed to y=logx by the following…

Q: Throughout this question, take care to explain your reasoning carefully. You should round your…

A: a) A circular area lies inside the range of a 4G mobile tower. As a result, the area covered by a 4G…

Q: Q. Let (X, B(R), µ) be a Borel measure space. If AnB = 0, B nC = ¢, µ(AnC) = 1,then µ(AUBUC) = 1.…

A:

Q: How many different size of infinity are there? How does it relate to one-to-one correspondence?

A: There are actually many different sizes or levels of infinity; some infinite sets are vastly larger…

Q: Given the following function, choose the graph with the two possible angles with the domain 0 < A S…

A: Solution

Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…

A:

Q: Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2х2 +3х3 +x4 10 Bring the…

A: System of linear equations, using argumented Matrix

Q: Use mathematical induction to prove that the n-th derivative of (x +n + 1)e" is given by d" (x+1)e =…

A: We use mathematical induction. The detailed solution is typesetted and given in detailed as the next…

Q: where did you get the 657? the given was 675.

A: Solution

Q: QUESTION 19 Choose the true statement for the following graph. A C D E a. The graph has an Euler…

A:

Q: (5) Solve the the definite integral (In(2))* dz indicating which integration techniques you are…

A:

Q: I do not understand the format of your answer. Please answer in a different format

A: Series and sequences, test for converges by using alternating series test

Q: very linear transformation = au + bv, y = cu + dv with ad – bc + 0 aps lines of the uv-plane onto…

A: Given, Linear Transformation x=au+bv and y=cu+dv maps lines of the u-v plane onto lines of the x-y…

Q: (vi) Find an equation of the plane that passes through the line of intersection of the planes x – z…

A:

Q: x²+2x²y-2xy+2xy –3y The expression is equal to x+y

A: We have to find simplified form of the given expression

Q: 5. Let {fn} be a sequence of measurable functions on E = [0, 1] satisfying Prove that the sequence…

A: Recall.   1: Triangle inequality for integrals.   2: if (a_n)^2 goes to 0 as n goes to infinity then…

Q: 3. A pilot flies with a ground velocity of 280 km/h on a bearing of 292°. There is a 55 km/h wind…

A:

Q: Problem 5. Consider the vector space R4. Find all pairwise orthogonal vectors (column vectors) x1,…

A:

Q: This is a matrix [0.1 0.2 0.6] M = 0.8 0.3 0.2 0.1 0.5 0.2 (a) Explain why M is stochastic (ie…

A: As per the question we are given a 3×3 square matrix M , and we have to find: Whether M is…

Q: a. The complete graph K4. b. The bi-partite complete graph K3,3 ("houses and utilities")

A:

Q: Consider the function: r01 = S0, 0 <t < 5 f(t) = -kt 5 <t. A) Use the definition to find F(s) =…

A: Given the function ft=0,0≤t&lt;5e-kt,5≤t Definition  The Laplace transform of f(t), that is denoted…

Q: QUESTION 22 Not yet answered Man Calculate the value of (1+2i)2 and then use this value to find the…

A:

Q: The formula for vector projection is incorrect, rendering this solution useless. In the formula, it…

A: Let us consider two vector A and B then the angle between two vectors is obtained as cosθ=A·BAB The…

Q: Calculate the value of (1+ 2i)? and then use this value to find the roots of z2 – z + (1 – i) = 0.

A:

Q: Identify if the sentence,"Give me the keys" is a propostion.

A:

Q: Find the solution of the initial value problem 1 4y" – 8y' + 3y = 0, y(0) = 2, y'(0) = ;. 2

A: The solution is given as

Q: A ball of mass 4 kg is placed at the lower end of a vertical spring, whose constant of restitution…

A: To solve the nonhomogeneous differential equation use the undetermined coefficients. Negative…

Q: 13 Find the angle measurements of the intersections for the two equations f(x) = 4x - 5 and g(x) =…

A:

Q: The Empirical Rule for Normal Distributions states: -68% of data 95% of data- 99.7% of data- -3 -2…

A:

Q: Use Polya's Problem Solving Strategies to solve the problem. Show complete process. Javier is buying…

A: We will use polya's solving strategies to solve the problem

Q: Let II, be the plane with Cartesian equation z=0. Let II, be the plane with Cartesian equation x=0.…

A:

Q: Select all the real numbers M among the choices below such that the two planes given by r. -2= -3…

A:

Q: a" – 3a' – 4a = 40e4ª, a(0) = 5, a'(0) = 0 %3D

A:

Q: please include also the interval of convergence in the solution. thank you.

A:

Q: If f is just that L = e*[-sin(x + y) + cos(x + y)] and ay =- sin(x+y) which if the %3D following is…

A: Here we integrate first equation with respect to x and then it differentiate with respect to y and…

Q: Compare the Trapezoidal rule and Simpson's rule approximations to x sin x dx and find a bound for…

A:

Q: Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0).…

A:

Q: Find the equation of the tangent and the equation of the normal to the curve y = x + + at the point…

A: