2 Locate the numbers z₁+z₂ and z, - z₂ vectorially when z₁ = 2i, z₂ ==-i. 3

Q: Use Lagrange multipliers to show that a triangle with perimeter p with the highest area is an…

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Q: II. Solve the following initial-value problem (IVP): di L + Ri= E dt for i(0) io, where L, R, E and…

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Q: Which of the following is the solution to the linear system given by the matrix below? [1 0 3 -1] 0…

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Q: Vector Operations In Exercises 37-42, find (a) u + v, (b) u – v, (c) 2u – 3v, and (d) ½v + 4u. Then…

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Q: ((x + 1)5 + 3y)dx − (x + 1)dy = 0

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Q: Determine the signs of the line integrals for the pictured vector fields and curves. C₂ (a) (b) C₁…

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Q: 1. A survey was conducted about the music styles preferred by the participants. The results are as…

A: Given Data: How many were in the survey.

Q: Solve the following Ivp = x²=-22x+10y of E=(8 (es.o)x birit MONT 8) abrioevont y'= -50x+22y Birt top…

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A: It is given that neither person is born in a leap year. It is required to find the probability that…

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Q: The function f(x) - 4x³ +7.56x² + 366.2004x + 7.99 is increasing on the open interval ( = It is…

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Q: A pair of dice are rolled 1,000 times with the following frequencies of outcomes: Sum Frequency 110…

A: Given : A pair of dice are rolled 1,000 times with following frequencies of outcomes, Sum 2 3 4 5…

Q: Let lim f(x)= 36. Use the limit rules to find the following limit X-2 lim √f(x) X-2 lim √√f(x) = X-2…

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Q: . The components of V are given by the expressions u = x² + y²; v = -2ry Find the integral along the…

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Q: Let A = p and q, B = not(p or q). Then the statement S = (not A) and B is

A: GIVEN A = p and q, B = not(p or q). Then the statement S = (not A) and B is ?? First, we translate…

Q: Consider the differential equation (2x-xy) dx-2dy=0 with the initial condition y = 1 when x = 1.…

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Q: Prove if this is true of false. We know |x| = x if x ≥ 0, and |x| = -x, if x < 0. Then, for all…

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Q: If f(x) dx = -2 and g(y) dy = 4, what is the value of ff f(x)g(y)dA where (D: 1 ≤x≤ 3,-5 ≤ y ≤-4}

A: Given ,     ∫13f(x) dx = -2   ,     ∫-5-4g(y)dy = 4 Then the value of   ∫∫D f(x) g(y) dA  , where…

Q: In R=Z_24, partition this ring into its zero,zero divisors and units. {Draw the partition} What are…

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Q: Fill in the blank so that the algorithm is complete:

A: min:=a1 for i=2 to n       if min &gt; ai min:=ai End-if  End-for return(min)

Q: Let a be a primitive element for the field GF(5n), where n is a positiveinteger. Find the smallest…

A: Given that a be a primitive element for the field GF5n , where n is a positive integer. To Find:…

Q: Problem 1. Let us denote by y₁ (t) and y2(t), 2 solutions of the equation y" +p(t)y' + q(t)y = 0,…

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Q: Determine if the sequence {an} converges, and if it does, find its limit when an 6n+ (-1)" 3n+5 1.…

A: It is given that, an be a sequence defined by ;        an = 6n+-1n3n+5 We have to determine that…

Q: Write a triple integral in spherical coordinates that represents the volume above/inside the cone z…

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Q: Question 9 Find the flaw in the following "proof" of this wff. (V)(³x)Q(x, y) → (3x) (Vy)Q(x, y) 1.…

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Q: Suppose that ( s n ) and ( t n ) are sequences so that s n  = t n except for finitely many values…

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Q: 3. Consider the vectors *-(3) -(5)- *-(-3) (3). = = X₂ (a) Show that x, and x₂ form a basis for R².…

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Q: The Great Pyramid of King Khufu was built of limestone in Egypt over a 20-year time period from 2580…

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Q: A fireworks show is choreographed to have two shells cross paths at a height of 163 feet and explode…

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Q: A firm's production function is Q(L) = 12L² – L³, where L denotes the number of workers (“labor"),…

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Q: Calculating Annuity Values You are serving on a jury. A plaintiff is suing the city for injuries…

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Q: Let W (s, t)= F(u(s, t), v(s, t)) where u(1,0)=-4,u,(1,0)=-7, u₂(1,0) = -4 v(1,0) = 8,v,(1,0) = -8,…

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Q: QUESTION 9 in = where z = g(u, v) and u(r, s), v(r, s). Find the number of terms in

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Q: what is the chance that a buyer of one ticket will have the winning ticket?

A: number of favorable event =1 total event =225000000   so probability = 1/225,000,000

Q: Which of the following functions is not differentiable on all of its domain? Select one alternative:…

A: The function which is not differentiable on all of its domain is determined as shown in the next…

Q: (0.1) +1 (4+m²)1.5 Evaluate the sum: Em=17

A: Sum and it's value

Q: (a) (b) (c) (d) (1+2i) ² 2 1/(1+i) √3-4i ein/4

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Q: Write the point-slope form of the line satisfying the given conditions. Then use the point-slope…

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Q: Consider the following nonlinear boundary value problem f" = f³ - ff', vith 1 ≤ x ≤ 2, f(1) = 1/2,…

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Q: 22 Consider the linear differential equation Select one alternative: ○ (x³y)' = x² ○ (x³y)' = x³ ○…

A: The given linear differential equation is ,               dydx+3xy = x (.)  Solution of a first…

Q: Determine the singular points of the given differential equation. Classify each singular point as…

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Q: Problem 2. a) If y₁ is a known nonvanishing solution to y" +p(t)y' + q(t)y = 0, show that a second…

A: Note : Here student wants to get solutions of the problem 2 only . So i solved only all parts of…

Q: 3. The principal normal vector field is defined by : (a) T¹ (s) (b) r(t) |r' (t) (c) |T'(s)| |T'(s)|…

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Q: The matrix P that multiplies ( x, y, z) to give ( z, x, y) is also a rotation matrix.Find P and P3.…

A: We have to find the matrix P such that Pxyz=zxy where P is the rotation matrix. Then, we have to…

Q: y²dx + (x² - xy)dy = 0

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Q: A line integral in two dimensions may be written as f F(x, dw. What does (i) F(x, y), (ii) C and…

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Q: Q4: The depth averaged velocity field u in a small amplitude oscillation on water of uniform depth…

A: Given, The depth avraged velocity field u in a small apmlitude oscillation on water uniform depth h,…

Q: Suppose that and has [−4, 4] as its interval of convergence. Which of the following is the interval…

A: We know the definition of interval of convergence, An interval associated with given power series…

Q: Write a triple integral in cylindrical coordinates of the function f(x, y) = x+y over the region…

A: A triple integral involves the integral with respect to the product of variables x,y and z. In this…

Q: Which of the following reduced matrices corresponds to three parallel planes in R³ ? Select one…

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