Find all values of x so that the triangle with vertices A-(x, -5, -2), B-(2,-8,-4), and C-(4, -9,-5) has area 1. Enter your answer as a comma-separated list of values. Use the square root symbol ' where needed to give an exact value for your answer.

Q: QUESTION 1 Is relation R on set of all integers reflexive where (x,y) ER if x is a multiple of y?…

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Q: s²-s-12 S (s− 3)(s+4) (s−5)²

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Q: 3. Show that there exist 100 consecutive positive integers that are not perfect squares.

A: Disclaimer : Since there are multiple questions, as per Bartleby policy, I am solving only the first…

Q: 3. Consider the parallelepiped P in R³ spanned by vectors u = (1,1,2), v = (1,2,1) and w = (2,1,1).…

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Q: (b) Evaluate the iterated integral LS x sin y dy dx.

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Q: Find the function whose 2nd derivative is given by f"(x) = 1 - 4x where f(-1) = 1, and f(-1) = 1.

A: The given information in the question is the second derivative of a function, which is f''(x) = 1 -…

Q: L.P.​ Model: Maximize Z= 4X+6Y Subject​ to:   1X+2Y ​ 0   On the graph on​ right, constraints C1…

A: Given that: Constraint is, 1X+2Y<85X+4Y<20X>0Y>0 and Z=4X+6Y. To find: Four corner…

Q: Transform the differential equation 9y" +14-81 - 126y= 5et y(0) = 0 3/(0) = 0 3'(0) = 1 into an…

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Q: On our optimization handout, we listed steps in solving optimization problems. Step 1 is to draw a…

A: a) we have to find A in terms of r and y b) we have to write equation of constraint c) we have to…

Q: 1. Write down the truth table for the statement (P⇒ (QV R)) ⇒ (Q ^ (R⇒ ¬P)).

A: Disclaimer : Since there are multiple questions, thus as per Bartleby policy, I am solving only the…

Q: Q1: A: Find the Laplace Transformer for the following function [8 sin²t cos²t] t L

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Q: 2.) Find the absolute maximum and minimum of the function f(x) = x³ +1.5x² - 6x +3.5 on the interval…

A: Solution: (2). The given function is  f(x) = x3+ 1.5x2 -6x +3.5 f'x= 3x2+ 3x -6  f''x=6x+3 For…

Q: Find all values of k so that 2 3 k+1 is invertible. - 12 To enter your answer, first select…

A: For a square matrix to be invertible, the determinant of that matrix should not be equal to 0

Q: 1. Consider the determinant as a sum of signed products. Recall that there are n! elementary…

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Q: Evaluate the triple integral JILzy where W is the solid determined by the inequalities zy dv, 0≤x≤…

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: The given differential equation is  We find the particular solution.

Q: 2. Find projection of the plane 2x - 3y + 4z = 5 under the matrix multiplication with the matrix A.…

A: Ans-In this we have to find  projection of the plane 2x - 3y + 4z = 5 under the matrix…

Q: 4. A company has a total of 500 light bulbs that are 100 watts each. The cost for electricity is…

A: Given that A company has a total of 500 light bulbs of each 100w The cost of electricity is 0.18…

Q: You can afford monthly payments of $400. If current mortgage rates are 3.84% for a 30-year fixed…

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Q: te: Attempt All the No.1: Let a function f(x, t) be defined for a ≤x≤ b,t>o. Prove that =s²…

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Q: Perform the indicated operation, if possible. 3 69 -7 7 -2 11 1 + 70-10 3 -39 -8 12 Select the…

A: Given: 369-77-2111+70-103-39-812 We have to perform the indicated operation.

Q: Let M a subspace of a linear space X and let x,yEX are Equivalent modulo M we write x= y mod M Prove…

A: Given: M is a subspace of a linear space X and x, y∈X are Equivalent modulo M giving x≡y mod M.To…

Q: Prove that if A = {x|x2 2 or x > 0} then (A, B) satisfies properties 4 and 5 Property 4: if b∈B and…

A: We are given that       A = {x | x2 < 2 or x < 0}       B = {x | x2 > 2 or x > 0}   Now,…

Q: A rock is thrown directly upward with an initial velocity of 50 ft/sec from an initial height of 10…

A: Given: The velocity of rock is given by the function vt=-32t+50 and the initial velocity is 50ft/sec…

Q: Orthogonally diagonalize the following symmetric matrices. (a) 13 2 2 (b) 23 2 (c) 1 2 2 4 -4 -2-4 4

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Q: Consider a transformation T: R³-R4. Given the following sets U and V of 4 vectors in the domain and…

A: Linear transformation is  T:ℝ3→ℝ4 and given set of  vectors U and  V in domain and co-domain are , U…

Q: a = -4 -3 -1 0 and b = -7 -3 11 -12 Use the Gram-Schmidt procedure to determine an orthonormal basis…

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Q: Given the following bases for R2, find P, the change of coordinates matrix from B to C. C-B -13…

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Q: OX Find the absolute maximum and minimum of the function f(x) = 2x² + 2' on the interval [-4, 4]…

A: There are some following steps to find the absolute max and min of f(x).(a)  Find all critical…

Q: Let L. be the line passing through the point P-(4, -3, 1) with direction vector a-[-4, 1, 1], and…

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Q: 5. All polynomials of the form p (t) = at², where a is in R.

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Q: Consider the matrix A= II a (1) (III) IV None of these 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0…

A: To check which graph has adjacency matrix which is equal to matrix A.

Q: Let Wt denote a Brownian motion. Derive the stochastic differential equation for dX₁ and group the…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: (5) Sketch each function and determine its Fourier series. Let f(x)=x, where 1<x<2.

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Q: In Exercises 15-18, let W be the set of all vectors of the form shown, where a, b, and c represent…

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Q: Show that (-3) = 1 if q = ±1 mod 12 -1 if q = ±5 mod 12

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Q: 5. Compute the Jordan canonical form for the matrix 1 0 0 00-2 01 3

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Q: 1 x₂(1) (2) 1 -1 0 (1)

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Q: Problem 3. Find the general solution of the differential equation r²y" + 4xy' + 4y = 0.

A: The given equation is           x2y" + 4xy' + 4y = 0   . . . . . . . . . . . . . . (1)  Let,       z…

Q: A regression analysis between sales (Y) and advertising (X) (both in dollars) resulted in the…

A: Given that the regression analysis between sales Y and advertising X resulted in the following…

Q: Let a = 4 2 3 B 3 Use the Gram-Schmidt procedure to determine an orthonormal basis {q₁, 9₂, 93} for…

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Q: 7. If B = exp(r² - 2) what is VXB?

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Q: Evaluate da where T is region in the xy-plane enclosed by the Trapezoid T with vertices at the…

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Q: rcises 7–10, determine the values of the parameter s for which the system has a unique solution, and…

A: 9. Given,                sx1+2sx2=-1,3x1+6sx2=4.          To determine the values of the parameter s…

Q: Select all graphs that are isomorphic to at least one of the other graphs. (III) U U E U I O IV (1)…

A: To find a graph which is isomorphic to atleast of the other graphs.

Q: Decomposing Exponential Functions Given the Exponential Function, determine the Initial Value and…

A: Given the exponential function, determine the initial value and rate of change as a percent for each…

Q: Use a least squares approximation to find the best linear fit (i.e., the best line) L(t) = C + Dt,…

A: We have to find the best linear fit using Least square approximation. Given, (t1,b1)=(-6,42)…

Q: Find the running time of the following algorithm. Show work by finding a table of values for the…

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Q: 4. Using the definition of a Taylor series, find the Taylor series generated by f(x) centred at x =…

A: Taylor series expansion of f(x) about x=5

Q: Evaluate 3y1+y³ dA where D is the region described by: D ≤ y ≤ 2,0 ≤x≤ 6. Enter an integer or a…

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