Using vectors, determine the area of the triangle whose vertices are the point P(1, 1, 1). Q(-2, -3, -5) R(-8, 8. -2). O 566 O 910 2 N566

Q: Find the order of each element in Z12-

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Q: 2) Suppose TE L(V) and ( T – 21)(T – 31)(T – 41) = 0. Suppose 2 is an eigenvalue of T. Prove that A ...

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Q: [(1 + x) y? - e*] dx +2xy dy = 0

A: A first order Bernoulli ordinary differential equation is of the form dydx+pxy=qxyn Where p(x) and q...

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A: Given: Distance between Army and Travis on map = 0.50 inch 1 inch =1600 ft

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A: Given the function g : [0, ∞)→ℝ, gx=x We have to show that gx is injective and not surjective.

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Q: リ この Shmo that e す。 are soluting of I

A: Note: Here, we will consider the differential equation y'''-6y''+11y'-6y=0....(1) instead of y'''-6y...

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Q: 2. Solve the DE: 2y' - y= 4 sin( 3x)

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Q: 4. para t> 0, 0<x< 2 u(0,t) = u(2,1) = 0 ди u(x,0) = x² (2 – x), (x,0) = 0

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Q: Let P be the solution of the Lyapunov equation ATP+ PA= -Q, where A, P,Q € Rnxn Show that if P = PT ...

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Q: Use the simplex method. Minimize g = 10x + 9y + 12z subject to x + y + z 2 6 y + 2z 2 2 x 2 5. (х, у...

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Q: 글 (n3 + 1) 2 [Hint: Σ=1x3 = (1)3 + (2)3 = 9]

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Q: 1. Solve the Initial Value Problem: (x + y) + (x + 2y) 0, y(2) = 3.

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Q: Taxable Income Tax rate for this bracket 0- $30,000 10% $30,001 - $60,000 20% $60,001 - $120,000 30%...

A: We need to determine the income tax for each person using the provided tax bracket. It is known that...

Q: Choose all the correct statements about the function: y = -4 sin(3x) +5 The amplitude of the sine fu...

A: Let us consider the equation y=Asin(Bx+C)+D The amplitude of the equation is |A| The period of the e...

Q: Show that H = {(12)) is not normal in S3. However, why is H' = ((123)) normal in S3? %3D %3D er. -

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Q: хdу — dy %3D (3x? — 3х)dx — ydx

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Q: 1. Defermine the integrating thators of the pallo wing non- exnet exact esuations. A. (1+ 4xy - 4x²y...

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Q: Let n E Z. Prove that n2 # 2 (mod 3).

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Q: PPES, 3 wear blue PPES, and 3 wear yellow PPES?noo eiw ahgaic 3. President Rodrigo R. Duterte togeth...

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Q: 6. For the autonomous DE: = (y- 4)y". a. Determine equilibrium points; b. Classify each equilibrium ...

A: A differential equation of the type y'=ft,y is referred to as an autonomous differential equation. T...

Q: lim (6x2 + 8x – 13) x--3

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Q: 1. ntegral dx with 6 (x-4)2

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Q: Let P be a 3x3 matrix having characteristic roots 21 12 = 0 %3D %3D and 23 = 1. Define Q = 3P3 – P2 ...

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Q: Elght balls numbered 1 to 8 are placed in a bag. Some of the balls are grey and some are white. The ...

A: The classical definition of probability says that the ratio of the number of points in the event spa...

Q: 1. For the following DEs find the order and decide whether they are linear or non-linear. (1) y(t) –...

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Q: Fertilizer Bought 30 Fertilizer (bags) Cost ($) 10 40 150 300 900

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Q: QUESTION #4 EFFECT OF BACTERICIDE The number of bacteria certain culturet min after an experimental ...

A: Introduction: Let us suppose that f(x) is the function of variable x, then the rate of change of fun...

Q: Prove (kindly provide reason/s) that for any real numbers m and n, (-m) + (-n) = - (m + n)

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Q: 3 To make hot chocolate Raquel poured oup of chocolate syrup into an empty mug then added up of hot ...

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Q: 2. If the internet is working and the grass is green, then if it's sunny, we wear sunglasses. 3. If ...

A: When a sentence is assertive and it is either true or false, it becomes a statement. Any statement c...

Q: the ntegral tervals is

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Q: aving characte -Р3 — Р2 — Р

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Q: Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer...

A: Given a linear transformation Tx1,x2,x3,x4=x2+x3,x2+x3,x3+x4,0 a We have to check whether the given ...

Q: eal root o on method

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Q: Find the general solution of this ODE: d?y dy + 10- + 9y = 7 dt? dt The solution will be of the form...

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Q: Consider the following linear system shown below. Note that s is a parameter and r1 and =, are the v...

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Q: Use the method of undetermined coefficients to find a particular solution to y'' – 9y' + 20y = 3et Y...

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Q: The type of the partial differential equation o'u o’u o'u 6. -4- = 2x +y is A) elliptic B) hyperboli...

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Q: 10. Prove that the product of two integers is odd if and only if both of the integers are odd. 11. P...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Consider the linear system shown below. xi + 3x2 + x3 = 4 -x1 + 2x3 = 2 3x1 + x2 = 2 a. Rewrite this...

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Q: 6. sx – 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D

A: Consider a differential equation of the form Mx,ydx+Nx,ydy=0. If ∂M∂y=∂N∂x, then the differential eq...

Q: The type of the partial differential equation o'u ô’u o'u 6. -4 = 2x + y is A) elliptic B) hyperboli...

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Q: - Let A = {1, 2, 3, .., 103. Consider f:P(A) → N given by f(B) = |B|. That is, f takes B subset of A...

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Q: 2. Consider the DE: (1+t²)f"(t) – 8y"(t) + cos(t) y (t) = e'y(t), t ER. (a) Find the normal form of ...

A: Given: A differential equation, 1+t2y'''(t)-8y''(t)+cos(t)y(t)=ety(t). To find: a) Normal form of gi...

Q: ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e

A: We have to find the general solution of the given problem.

Q: Let f(x,y)= √ (y2−x2) be a function of two variables, the domain of f is given by the set: Dom f = ...

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Q: If f is bounded and integrable on [a, b] such that | f(x) | 0). *0).

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Q: 5) In how many ways can the letters of the word ORANGE be arranged so that the constants occupy only...

A: Given,  The letters of the word ORANGE can be arranged so that the constants occupy only the even po...