z = 8 - 2 y 2 y=2 4 X-4

Q: The set S = {v1, V2, V3} where vị = (-1,1,1), v2 (1,-1,1), v3 = (1,1,-1) is a The vector v whose…

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Q: Let R be the region bounded by the curves y? = k(x- 1) and y = m(x- 2) as 2. shown in Figure 1. y? =…

A: We will use given relation between m and k and intersecting point to find values of m and k  . To…

Q: 4. Suppose that an insect population, z(t), is controlled by a natural predator population, y(t). a)…

A: Since the sub parts are not specified so i am solving first three parts. (a) It is given that an…

Q: Problem 6 Verify that the function y = + sin a satisfies the equation y" + 4y = 4.r + 3 sin a. Find…

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Q: If possible, write -4 – 2x – 3x as a linear combination of x - x?, -a? and 1 + x². Otherwise, enter…

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Q: a" + 3a' = 3 cos(t) – sin(t), 3 cos (t) – sin(t), a(0) = 3, a'(0) = -2.

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Q: x''-2x'+x=4e^t

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Q: Suppose a person begins walking away from a light pole at a constant rate of 0.88 meters per second.…

A: Given- Suppose a person begins walking away from a light pole at a constant rate of 0.88 meters per…

Q: Prove by contradiction, for any sets A and B , if A CA- B, then An B = Ø

A: We want to prove if  A ⊂ A - B, then A ∩ B = ∅

Q: Let a, b and m be integers. Prove that if 2a + 3b ≥ 12m + 1, then a ≥ 3m + 1 or b ≥ 3m + 1.

A: Here I have corrected the statement of the Question and provide a detailed solution of the problem.

Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

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Q: The area enclosed by |3z+4y| |4r-3y| + = 3 is (where [.] denotes the greatest integer function)

A: Given: An equation 3x+4y5+4x-3y5=3. where . is the greatest integer function. To find: Area enclosed…

Q: Let u = (-3, 2), v = (2,-2) and A= NOTE: Give eract answers. (a) Find u relative to the inner…

A: Here given u=-3, 2, v=2, -2 and  A=1121

Q: 7 numb s that t git mus d th +

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Q: Suppose that y and z are twice-differentiable functions of x. Show that d y dx y' 2 y"

A: Derivative of a function is the measure of how fast the function is changing with respect to the…

Q: 2. Multi-Step Series E sin(n) n2 а. b. E sin(n) n=1 n² – 5 n=1 -

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

Q: 1. Mark as TRUE or FALSE. If they are true give an explanation, if they are false, give a coun-…

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Q: Approximate the following integral with the Simpson's Rule, Trapezoid Rule, and Midpoint Rule. Give…

A: Using a calculator the actual value of the integral is 0.80472

Q: (a) Graph G, Graph G2

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Q: 4. Find the Laurent series of the following function : f(z) = region 2 < |z – 1|< 4 (ɛ + z)(I + 2)

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Q: x2 + y2 < 900 on the xy-plane. At any point (xx) in this world you've also associated a danger…

A: We can rewrite the equation of the circle as x2+y2 = 900 and use Lagrangian multipliers to find the…

Q: a) Show that the distance between the parallel planes Ax + By + Cz = D1 and Ax + By + Cz = D2 is |D1…

A: (a) To show that the distance between two parallel planes Ax+By+Cz=D1 and Ax+By+Cz=D2 is…

Q: The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either…

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Q: Find the area of the surface of revolution generated by revolving a loop of the curve 8a²y² = a²x² -…

A: surface area generated by a curve y= f(x)    in interval [a,b] while rotating about x- axis…

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: Starting with a 20-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A: Introduction: Consider the function f ( x ) with one variable. Using derivatives, the function…

Q: Given that the formula for dy/dx + P(x)y = Q(x), where y(a) is known is a first-order, linear…

A: Solution

Q: Find the Taylor series centered at x for the given function. f (x) = cos(4x) = COS

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Q: 6. In the diagram shown, altitude AC is drawn from a right angle to BD in such a way that BC:DC =…

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Q: How many units has the quotient ring Z/I, where IC Z is the ideal generated by the integers 36 and…

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

A: We have to find the intervals on which the graph of f is concave​ upward, the intervals on which the…

Q: If f(1) and g(1) are arbitrary polynomials of degree at most 2, then the mapping (f,g) = f(-1)g(-1)+…

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Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

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Q: 0. 4 9. Consider the Leslie matrix that represent the development of a population of a 0.7 0.3 0…

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Q: Given the equation x²y" + ay + (a? - 3) y = 0 a) Is xo = 0 an ordinary or a regular singular point?…

A: If a second order differential equation is of the form  y''+p(x) y'+q(x) y=0  The coefficient…

Q: Write the equation of a sine or cosine function to describe the graph. y = || -1+ -2- 3- -4+

A: Consider the graph of y=sin x and y=cos x. The given graph resembles the graph of y=sin x. So, let…

Q: How many 8-inch piece of wires can be cut from a roll of wire 36 yards long? * 180 162 156 160

A: We want to find how many 8-inch piece of wires can be cut from a roll of wire 36 yards long.

Q: Let F be a field of characteristic 3. For a polynomial f e F(X], let f' be the derivative of f.…

A: Given: F is a field of characteristic 3. f' is the derivative of f. To do: Check which of the…

Q: + 6y' + y = 0, y(0) = -1, y'(0) = 2.

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Q: Let X be a normed linear space over F. It follows from Exercise 1 that X* B(X,F) is a Banach space.…

A: Given that X is a normed linear space over F and X* = BX , F is a Banach space. ( X* is called the…

Q: Use the inner product (f,9) = f(z)g(x) dz in the vector space C"0, 1] of continuous functions on the…

A: It is given that fx=-5x2-3 and gx=9x-7. We have to evaluate f, g, f, g and αf, g where αf, g is the…

Q: Chooes In legendre polynomials Porm the bassis of chebyshev Polynomials Te CX)= ®늦 (4L201 -Locu) +…

A: Solution

Q: Express the following expressions in the form of a+bi: a) (-1 + i)1/3 b) Ln (1 + i)

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Q: 1 Mark as TRUE or FALSE. If they are true give an explanation, if they are false, give a coun-…

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Q: Consider the following functions T :R³ → R². Show that each is a linear transformation and determine…

A: We have to show that T : ℝ3→ℝ2 is a linear transformation. We have to determine the matrix A such…

Q: Given two terms in an arithmetic sequence find the explicit formula for the nth term. a14 = -400 and…

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Q: Find the draganalictle rohx A that ene eegmpars.

A: Given λ1 = 2,  v1 = 11λ2 = 3,  v2 = 21

Q: - Solve the following partial differential equations X) = 30,T(t,0) = 50, T(t,1)

A: The partial differential equation given is as follows: ∂T∂t=α∂2T∂x2 with α=0.5. The PDE will be as…

Q: 2. EQUATION OF LINES. Determine the general equation of the line that passes through A (-2;5) and…

A: Line passes through A(-2,5) Line is parellel to line passing through P(1,-3) and Q(-2,4) So slope of…

Q: f(x;y) = 2xy (A メノナ vertices (o,0) , Cl,0), (,) Find the average value Örer Ri triangle with

A: The average value of the function in bounded region