Problem 9: Kylie, Kendall, Kim, Kris, Khloe, and Kourtney attend a party. In how many ways can a photographer arrange them in a row if (a) Kendall must be next to Kylie? (b) Kendall is not next to Kylie? (c) Kendall is positioned somewhere to the left of Kylie?

Q: Determine the velocity vector of the given path 7.J ccts= 6ti + 3t² + t³ k 8.) cct)=(Sin3t)i + (cos…

A: r(t)=6ti+3t2j+t3kvelocity v(t)=dr(t)dt=6i+6tj+3t2k

Q: Take the Laplace transform of the following initial value and solve for Y(s) = Ly(t): (sin(nt), +4y=…

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Q: Determine where the following function from R to R is differen- tiable and find its derivative:…

A: Given that the function f:ℝ→ℝ defined by f(x)=3x+x-3 We shall use the definition of the modulus…

Q: 3. Solve the following differential equation using undetermined coefficients: y" + 3y' + y = t² + 2

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Q: Find parametric equations of the straight line tangent to the following space curve at the point…

A: Given vector equation of curve:

Q: Suppose that for x = 3, the predicted value is  = 5. The data pair (3, 5) is part of the sample…

A: A residual is defined as the difference between an actual value (observed value) and a predicted…

Q: ellipse 3x\power{2}+2y\power{2}=5.     b. Let M be a noetherian module. Then each non-zero…

A: We have to find the angle between the pair of tangents of ellipse                       3x2+2y2=5 At…

Q: Find the indicated derivative for the function. 3 f''(x) for f(x) = 8x4 - 4x³ + 5x -5 f''(x) =

A: We use two of the known properties of derivative and two commonly known derivatives       (f +…

Q: Solve the system. X2 13 I4 -2060x₁ -362x1 -826x₁ +8 16480x2 2896x2 6608x2 15812x3 + 7500x4 2750x3 +…

A: -2060x1-16480x2-15812x3+7500x4=128848-362x1-2896x2-2750x3+1306x4=22456-826x1-6608x2-6638x3+3114x4=53…

Q: Find the first four nonzero terms in a power series expansion of the solution to the given initial…

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Q: Use cylindrical coordinates to find the volume of the region bounded by the plane z = √29 and the…

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Q: for n = 7007 evaluate lower omege (n) and big omege (n)

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Q: In each case gompute the indicated quantity. 9. Intaf, where f(x,y)=x+y 10. Int9, where g(x,y)-2x+y…

A: The given function function is F(x,y)=y,-x, and the region is, . To Evaluate: The flux FluxRF. As…

Q: The table below shows the balance 8 in a savings account, in dollars, in terms of time t, measured…

A: Here the Table shows that the balance B in a savings account , in dollars ,  in terms of time t ,…

Q: 25 [[30² 3xy dA, where R is the rectangle bounded by the lines -1..-2-1 and y = 0,

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Q: Find the directional derivative of f at P in the direction of a. f(x, y, z) = xy + z²; P(-1,-1,-3);…

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Q: 1. Find the general solution of these constant coefficient linear inhomoge- neous ODEs, using the…

A: Given nonhomogeneous differential equation is Here nonhomogeneous part is (x sin x) And (sin x)…

Q: Problem 7. (a) E Represent the set {x = (x₁, x₂) = R² | x12 ≥ 1}, as the intersection of some family…

A: A family of half-spaces is a collection of subsets of a vector space, each of which is defined by a…

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Given problem Min c=x-6y  Sub. to 3x+y ≥ 5               2x-y ≥ 0                x-3y ≤0  , x≥0, y≥0

Q: Determine whether each of the following statements is true. If true, prove it. If false, give a…

A: Statement: Let an→∞ and bn→-∞then an-bn→∞

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A: Given function f(x) = 10x4 - 60x2 = 10x2(x2 - 6)

Q: onsider the sum n 1 k(k+ 1)' om problem 1. Now prove the formula you derived in problem 1, using…

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Q: Suppose that Cna" converges when x = -5 and diverges when x = 7. Determine whether the following…

A: The series ∑n=0∞cnxn converges when x=-5 and diverges when x=7. We have to find the convergence and…

Q: how: For all integers and , if n-m is even then  n^3-m^3  is even

A: We have given that for all integers n,m (n-m) is even.

Q: Draw the function f(x) = (1+x) by using the following steps: ● x-intercept y-intercept -18…

A: Introduction: To find the maximum and minimum values of the function and the intervals of concave up…

Q: Determine the languages recognized by the ff. finite-state automata Start So 0 $2 0,1

A: Since you have asked multiple question, we will solve any one question for you. If you want any…

Q: Let G₁ and G₂ be two distinct trees with the same vertex-set V. Prove that d(G₁)=d(G₂) if (G₁-x) =…

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Q: [1 0 0 5 0 0 Let A = 0 1 2 02 -3 0 3 -1 -2 -3 3 2 0 -2 -10 10 0 4 -1 1 Find a basis for the row…

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Q: If the nth term of a sequence is {pn²+4+3+pen n+p³ 4+2pen i. Determine whether or not the sequence…

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Q: Find the Laplace transform of the function { t, 0<t<π 1, π<t<∞ NORD n 17 f(t) = C

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Q: Rewrite the quadratic in intercept form. Then state the zeros of the function (after the x f(x)=2x²…

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Q: A company estimates that it will sell N(t) hair dryers after spending $t thousands on advertising as…

A: We are given      N(t) = -3t3 + 450t2 - 21600t + 1100   =&gt; rate of sales                = N'(t)…

Q: Evaluate the following integrals by Cauchy residue Theorem e² (a) √₁21=3 (2-1)²23, (b) √₁2-2² indz,…

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Q: For each nZ+ let fn: [0₁] → R, fn(x)=1/(1+x"). (a) Prove that (n) converges uniformly. (b) Compute…

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Q: lim x->0 (10x^4/3 - 8x^3/4 + 2x^2/3)/15x^2/4+3x^2/3-5x)

A: The given limit is, limx→010x43-8x34+2x2315x24+3x23-5x. The limit of the function is obtained: Using…

Q: Express the volume of the part of the ball p < 4 that lies between the cones π/6 and π/4. NOTE: When…

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Q: Problem 8. Let CCR be a closed convex set, and suppose that X₁,..., XK are on the boundary of C.…

A: Ans- To show that $P_{\text{inner}} \subseteq P_{\text{outer}}$, let $x\in P_{\text{inner}}$ be an…

Q: In n 100- n² {(³ ∞ n=1 3n² + 2 n² 1/n ∞ n=1

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Q: 3. Suppose that TE L(V) is self adjoint. Let v EV, A E F and > 0 be so that ||v||= 1 and ||Tv-Av||…

A: Here, we have given T a self adjoint operator defined on V.

Q: Find f''(x). f(x) = (x² + 7) 6 f''(x) =

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Q: You are given: la = 115-x, for 0<x<115 and d = 4%. Calculate ä65. Hint: p = ++ and Σko kvk =…

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Q: Find the mass of the solid B that lies in the first octant, above the cone z = 3x² + 3y2, and •…

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Q: Find the solution to the IVP (initial value problem) 9y" + 12y' + 4y = 0 ; y(0) = -3 , y'(0) = 3

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Q: The coordinates for the vector v = (1,2,4) relative to the standard basis B = {(1,0,0), (0, 1,0),…

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Q: Use undetermined coefficients to find the particular solution to y"-2y+4y= 4t+7 Yp(t) =

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Q: Determine if the following series converges or diverges 3n S = Σ 52n+1 n=1 If it converges, compute…

A: We have been given the series: S=∑n=1∞3n52n+1. We have to check whether the given series converges…

Q: Differentiation. Find the value of the derivative of (iz³ + 15z²)³ 3 at 10i. [(iz³+152²)³] -405000…

A: The given problem is to find the value of the derivative of the given complex function at z=10i by…

Q: 8 Solve the following equations in the interval 0° ≤ x ≤ 360° giving your answers to 3 significant…

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Q: Find the volume of the solid bounded by the graphs of r = 5 sin 30, z = 10 + √√x² + y², z = 0, in…

A: Sketch the graph in 3 dimensional figure:

Q: 14. Nine thousand spectators attended a national figure skating competition. Ticket prices were $30…

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