Let n > 1. We have φ(n) = Σμ(α) = d\n η

Q: Multiply and then simplify the following. a) (x + 1)(x+8) b) (y + 2)(y-7)

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: An electrical circuit consist of a series connected resistor (100 ohms) and a capacitor C = 0.01 µF.…

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Q: г 3х +4 *3их н dx X

A: The given problem is to evaluate the given indefinite integral of given rational function.

Q: Construct a pie chart illustrating the given data set. A cereal manufacturer wants. o introduce…

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Q: Question: The shaded regions R₁, R₂, and R3 (see figure) are formed by the graphs of the following.…

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Q: Find the sum of 73 ㅈ5 11.3 3.5 ㅗ ㅈ - + ㅈㄱ 15.7 + n-1_2n+1 ㅈ (1)h 12n-1 (2n+1)

A: We can solve as follows

Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: What actual number of days is computed from March 24, 2018 to August 14, 2018

A: So, to do this we will see the number of months having 30 days and number of months having 31 days…

Q: Given the relation f(x) = 2x^2 + 1 - e^x a. Using the convert equation x = √( e^x -1)/ 2, find the…

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Q: 5. x=4-s+t Find a vector perpendicular to the plane = y = 1+ s-t (z=1+s+t b) [5, 5, 0] a) [1, -3,…

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Q: f X is an arbitrary topological space, then we have the following: (a) each point in X

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Q: Question: The shaded regions R₁, R2, and R3 (see figure) are formed by the graphs of the following.…

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Q: 1. Find the root of system of equations using Newton Method. Employ initial guesses of x=y=1.2…

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

Q: T (k+m+1) k! I' (m-k+1) \x+1, P² (x) = m k/2 X ₂F₁ 2F₁ ( -m, m+1; k+1; +¹; 1 - - - 2 ) 2

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Q: From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many…

A: Solution :-

Q: (6) Find the integral of the function piecewise linear path from (1,1) to (2,2) to (0,2). b) 22.3…

A: Given the function Fx,y=ey-x,e2x

Q: O Solve (ex+y)dx+(2+x+ye¹)dy=0

A: The given problem is to solve the given ordinary differential equation. We have to the exactness of…

Q: a.V odv

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Q: The instantaneous rate of change of a ball (in ft/s) is given by f'(x) = √x Select one: 1 4 O a. sec…

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Q: Solve the linear programming Maximize: P = x + 2y-z Verify your Solution Start: X2424 11252 -1 -2…

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Q: A sound measures 42 dB. The intensity of a second sound is four times as great. What is the decibel…

A: Consider I1 be the intensity of the first sound and I2 be the intensity of the second and consider…

Q: 2. A Venn diagram MUST be drawn for this problem. Please check your Given statements: If a shape is…

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Q: D. (Bernoulli Differential Equation) Find the general (or particular) solution of the given…

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Q: 1 (In (n)) It is not possible to use the Direct Comparison Test to determine the convergence or…

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Q: Let line L: x = 2t, y = 0, z = 3, and let line M: x = 0, y = 8 + s, z = 7+s, for some constants t…

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Q: 14. Solve the differential equation dy t dt y y(0)=1 by the Euler method with h=0.1 to get y(0.2).…

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Q: Consider the equation below: u’=u2 – (7/x)u + 8/x2; u=-y’/y Obtain the linear second order…

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Q: L. Find the coordinates of point P with respect to the coordinate system S, where S = {0, (1/√√2,…

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Q: xp z/1 (1 − 1-x7)x^ S 4.

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Q: Question 2 Given the data as in Table 2. x y 2 2.757 Table 2 3 7 3.279 6.009 9 9.751 12 12.906 15…

A: Given is a data in a table 2 as x 2 3 7 9 12 15 y 2.757 3.279 6.009 9.751 12.906 15.988   To…

Q: d²y 2x(1-x)+(5-7x)-3y=0 dx dy dx

A: To obtain the power series solution of the second order differential equation, use the following…

Q: translation vector (1,-2.5) D EXY G O F X

A: Use the vector to define the rule of transformation. Use the rule to shift the vertices of the given…

Q: Group A1) Consider the succession (an) defined by; an = 379an-1-378an-2, n22 and ao = 0 e a₁ = -377.…

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: If the Neumann problem for a bounded region has a solution, then it is either unique or it differs…

A: see my solution

Q: If y, and y₂ are linearly independent solutions of ty" + 4y + tey = 0 and if W(y₁.₂)(1) = 4, find…

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Q: Solve the following initial value problem using Laplace transform method: y' +6y=e4t; y (0) = 2.

A: We solve by using Laplace Transform.

Q: Theorem Let f: G H be a group homomorphism. Then, Im f≤ H.

A: Let us consider the mapping f:G→H . Then f is group homomorphism if  f(x·y)=f(x)·f(y) where, x,y∈G…

Q: If y, and y₂ are linearly independent solutions of ty" + 2y + tey = 0 and if W(₁,₂)(1) = 5, find…

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Q: List the eig composition of a rotation and a scaling. Give the angle o of the rotation, where - =…

A: please comment if you need any clarification. if you find my answer useful please put thumbs up.

Q: How many terms of the Maclaurin series for ln(1 + x) should you add up to be sure of calculating…

A: The Maclaurin series of ln1+x is ln1+x≈x-x22+x33-x44+x55-x66+x77-x88+x99-…. The absolute error, ε is…

Q: Q2/1 x = 0; pi/100 : 2 Pi; Y₁ = Sin(x) 2. Sin (X-0.25); 83 Sin (X-0.5); ун Y₁ = Cos (x); plot the X…

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Q: Sales of a product, under relatively stable market conditions but in the absence of promotional…

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Q: For items 5-6, find the ff. Laplace transforms. 5. {t³e-4t}

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Q: Romberg integration for approximating f f(x) dx gives R₂1 = then f(2)= -6 and R₂2 = 1

A: Given that Romberg integration for approximation ∫04fxdx gives R21=-6 and R22=1. We have to find the…

Q: Let L₁ be the line passing through the point P₁=(5, 2, 3) with direction vector d=[1, 3, 1]', and…

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Q: Prove that k (7) = n (n − ¹) for integers n and k with 1 ≤ k ≤ n, using a: k a) combinatorial proof;…

A: To Prove- Prove that knk = nn-1k-1 for integers n and k with 1 ≤ k ≤ n, using a: Combinatorial…

Q: For all a > 0 and b> 1, the inequalities In (n) ≤ nº, n < b are true for n sufficiently large (this…

A: Please see the attachment

Q: Find the Wronskian of two solutions of the differential equation ty" -t(t-5)y' + (t-3)y=0 without…

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Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

A: We need to find the particular solution of the given system using the method of undetermined…