je*dx=r(n+1), 5. Show that jedx=r 0 n>0

Q: Evaluate the line integral, where C is the given plane curve. √ex dx, ex dx, C is the arc of the…

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Q: Which of the functions describe the sinusoidal graph below: f(t) -1 a. f(t) = u(t-π/4) sin(t - π/4)…

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Q: Let V be the volume of a right circular cone of height h = 8 whose base is a circle of radius R = 4.…

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Q: By using eular method find yo.z) if - - - ) = 0 = hal

A: We will use Euler's method in Matlab to find y(0,2) if:  y''=x-y2 , y(0)=0, y'(0)=1, h=0.1

Q: Exercise 4.3.6. Let A, B and C be sets, and let f: A → B and g: B → C be functions. Suppose that f…

A: Given that the two functions f: A →B and  g: B →C have inverse.              ⇒    f: A →B  and  g:…

Q: Find two numbers whose sum is 22 and whose product is a maximum. The two numbers are (Simplify your…

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Q: 2. Finite, abelian (and additive), not isomorphic to Z2 or Z2 x Z2, and also for every element a,…

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Q: Exercise 8.9. Let : G. H be a homomorphism. Let (G) = {ø(g) | g € G}. Show that (G) is a subgroup of…

A: We have been given that ϕ:G→H be a homomorphism, where G and H are Groups. We have to show that ϕG={…

Q: Is F = (3x² - 4xy, 2x²) conservative? If so, find a potential function. Support your answer.

A: Here we have to find whether F is conservative or not. If it is conservative then we have to find…

Q: 2. Find the inverse Laplace transform f (t) for the function and then sketch the graph of f. F (s) =…

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Q: Use the simplex method to solve. Maximize z=3x1 +2x2 + 2x3 subject to: x₁ + x2 + 2x3 ≤38 2x1 + x2 +…

A: The given problem is to find the solution for the linear programming problem with given constraints…

Q: 2xy (+²0+²) (1 + x²) (1 + y²) h = k = 0.25 (ii) the Simpson's rule h = k = 0.25. 2. Evaluate the…

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Q: A bookshop sold some notebooks of 3 different colours. It sold 2 the red notebooks, of the blue…

A: Here we find three different colored notebooks, which indicate that they must be represented in…

Q: +3+10y = 13e-t, y (0) = 7, (0) = 11 and using Euler's method and a step size of 1.5, y (3) is most…

A: 2d2ydt2+3dydt+10y=13e-ty0=7dydt0=11 Step size h=1.5

Q: Let f: [a, b] → R be a bounded function, and let P be a partition of [a, b]. Let P be a refinement…

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Q: Wie the ouatratic formula to sol -2y=3y^(2)-1

A: Given, Quadratic equation is  -2y = 3y2 - 1

Q: 1. Does the graph below admit an Eulerian trail. If so, find one. If not, prove it.

A: A graph: We have to check whether the given graph has an Eulerian trial or not. Note- As per policy…

Q: Find the maximum and minimum values of over the region f(x, y) = 4xy D := {(x, y) = R²|x € [-2, 2]…

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Q: Here are some questions to illustrate what you might be asked on the final. No answers will be…

A: Y=C+IC=100+0.8YI=50

Q: 1. Write out the first few terms of the series The first term is The second term is n=0 The third…

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Q: Exercise 8.6. Find permutations a, ße Sym(5) such that a² and 32 are the identity and the product aß…

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Q: Solve the given initial value problem using the method of Laplace transforms. 26, 0≤t≤ 13, y'' + 2y'…

A: First shifting property:L-1[F(s+a)=eatL-1[F(s)]By the definition of Laplace…

Q: Find the interval of convergence for the series. (Enter your answer using interval notation.) Σ(−1)n…

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Q: A sailboat costs $25,424. You pay 5% down and amortize the rest with equal monthly payments over a…

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Q: Linear Transformation and Bases In Exercises 25-28, let T: R³ R³ be a linear transformation such…

A: Given T be a transformation such that T(1, 0,0) = (2, 4,-1)  T(0, 1,0) = (1, 3,-2)  T(0, 0,1) = (0,…

Q: Consider the operator R2 → R2 given by left-multiplication by the matrix: A =[−2 −1,        1 −4].…

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Q: Evaluate L[u(t-2)-(t-2)³} a. e-2s/s4 b. 6e-2s c. 6e-2s/s4 d. 6e²s/s

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Q: Use LT to find the PS of the following DE (where w and w₁ are constants): (x"+w²x = sin(w₁t) {x"}…

A: Given x''+ω2x=sin(ω1t)x(0)=x'(0)=0 From the Laplace Transformation L[x''+ω2x]=L[sin(ω1t)]…

Q: Match the function with its gra k(x)=(1)/(3)x^(2)

A: We draw the graph of 1/3(x^2)

Q: Is that 9/4

A: We have to write the in given solution it is g/4 or 9/4

Q: 3. The slope field for y =ry is given below. Sketch the solution that satisfies the condition y(0) =…

A: We have  Slope field for  y'=x-xy & Condition given  y(0)=-1

Q: (a) Does the group Z5 have an automorphism that is not inner? If yes - give an example of such…

A: a) Does the group ℤ5 have an automorphism that is not inner? It has to be verified.

Q: Exercise 8.5. Let a, 3,7 € S5 be as follows a = (12) (34) B = (135) (24) Y = (1425) Find…

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Q: 4. T: R² R², T(x, y) = (x - 2y, 4x), B' = {(2, 1), (-1, 1)}

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Q: Nitrogen dioxide, NO₂, is an air pollutant resulting from burning fossil fuels in cars and power…

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Q: The tangent plane at a point Po (f(uo.Vo) 9 (uo.vo),h(uo.vo)) on a parametrized surface r(u,v) =…

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

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Q: What is the geometric average of 8%, 10%, -15%, 20%, and 30%? -14.8% 14.8% 9.5% 12.25% i know it…

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Q: Let G = ℤ32 and H be the group of G generated by 4 Problem: What is (3 + H)-1 in G/H?

A: Here, G = ℤ32     H = subgroup generated by 4        = {0, 4, 8, 12, 16, 20, 24, 28}

Q: Use the given definition to find f(A): If f(x) = a + a₁x + a₂x². + ... + anx is a polynomial…

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Q: A car rental agency rents 200 cars per day at a rate of $30 per day. For each $1 increase in rate, 5…

A: Let's denote the rate at which the cars are rented as x (in dollars per day), and the number of cars…

Q: ★¹ (a) Consider three sequences (an), (bn) and (sn) such that an ≤ lim bn = s. Prove lim sn = S.…

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Q: A deli sells 720 sandwiches per day at a price of $6 each. (A) A market survey shows that for every…

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Q: r(t) = 2cos ti+ 3j + 2 sin t k, for 0 ≤ t ≤ 2π A) U X O Y Y B) D) X to. X

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Q: Approximate the series of e with the finite sum M (−1)n SM(x) = Σ -(x-15)²n. 2nn! n=0 Use a graphing…

A: fx=e-x-1522 and the approximated sum function is given by SMx=∑n=0M-1n2nn!x-152n

Q: (a) (i) (ii) Find the value of the function: f(x, y, z)= ysin(xz) + exp(xyz) at the point (1, 1, 0).…

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Q: Find the area inside one petal of the curve r = 4 sin(20).

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Q: A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.)…

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Q: 4. For the following exercises, confirm the approximations by using the linear approximation at x =…

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Q: 2. The vector space C[a, b] is the set of all continuous functions on an interval a = f(t)g(t)dt Š a…

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