In how many ways can a group of 10 people be seated around a table if 3 of them insist on sitting beside each other? 8!3! 6!3! 9!3! 7!3!

Q: Solve for ∂w/∂y and ∂w/∂x w=(1-2y)(x2-xy)

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Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,z=1 y+1 3 z-1 %3D %3D За 2a Find the…

A: We have to find the point - normal equation of plane.

Q: Find a polynomial of degree 3 such that f(0) = 5, f'(0) = 10, f''(0) = 15, and f'(0) = 20. P3(x) =O

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Q: Determine whether the two functions are inverses. -3 )3D x+5 -3-5x w (x) s and z (4) = %3D The two…

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Q: Work Problem 2n11 5h Consider the geometric series a) Find the first term a and the ratio r of the…

A: Given query is to find fist term,common ratio, and sum of the sequence.

Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: Consider the sequence defined by a, = In(2n³ + 2) – In(5n³+2n² + 4). Find the limit of an as n → ∞.…

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x y+z=2…

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Q: Let S be the solid bounded by the planes z = o and y + z = 3, and the cylinder x2+y2 =2y-

A: answer is in next step

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Question The statement below is of the form f(x) dx = F(x) + C. Find f(x). rco) dx = 2x* + 3x* + 4x…

A: Use derivative for finding the value of f(x)

Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table.…

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Q: 5. A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: Let the length of the wire cut=xAll sides of square are same side length=yPerimeter= 4 y…

Q: Find the values of a, b, c, and d in the matrix equation below. [:] 10 -5 -8 -1 b. + 2 -8 -10 7 a =…

A: We will find the value of a,b,c and d of the given matrix in the following step.

Q: Consider the function f(x)=7/x^3−6/x^6 Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4)…

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Q: Given the sequence {un} with: п — 3 Un ,n > 1 5n + 1

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Q: If f(r) = t dt then f'(x)

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Q: Find the area under the curve between x-2 and x=-1 for the curve f(x)=(7 – x²)d

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the…

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Q: one-to-one function is given. Write an equation for the inverse function. x-3 t(x) = x+7 () = D %3D

A: Given query is to find the inverse function.

Q: A. Use the definition of derivatives to determine the derivatives of the following functions. 1.…

A: 1. f(x)=x2. f(x)=-4x3-23. f(x)=1x Note:     Multiple parts are given, we are answer with three parts…

Q: raph the following horizontal parabola, and give the domain and range. Ay 10 x- 4 = - 2(y - 3)2…

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Q: 1. S V2x – x² dx 2. S* dx 1+x? 1+x3 3. Sv1+ v1+x dx 4. Set up only the integral(s) that will compute…

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Q: solve the following differential equation

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Q: If f (x) = Vx + 5 and g(x) 7 find f (g(t)). X

A: A composite function  is created when one function is substituted into another function .

Q: "0. Mixture Problem A biologist has two brine solutions, one containing 5% salt and another…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the following problems completely and accurately. Solving Differential Equations (1) Find the…

A: Since, the student has mentioned to solve question number 1, so we are going to solve only question…

Q: d In(x2 - 4x + 13) + sin(ax) dx ex b.

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Q: Use the indicated change of variables to evaluate the double integral. (Round your answer to two…

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Q: Write the partial fraction decomposition of the rational expression. (x - 2)(x - 3) 3 x- 2 X-3 2. -3…

A: Given, x/((x-2)(x-3)) Performing partial fraction decomposition we have,

Q: One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as £…

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Q: You are a Math tutor, one of your students asks you to explain the error in his solution to the…

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Q: Does the following series converge or diverge? 7 Σ n=1 en-1 O The series diverges. O The series…

A: Ratio Test: Let ∑n=1∞un be a series and limn→∞un+1un=L , a real number Then this series converges if…

Q: There are two different styles of shirts UB is planning on selling at the bookstore. UB will pay $12…

A: Let  Number of cheaper shirt = x  Number of other shirt = y  cheaper shirt yields a profit of $8 and…

Q: Example: Use quadratic interpolation with three points method to find the position of the minimizer…

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Q: Solve xy = 8y – 7x, y(1) = -4. || (a) Identify the integrating factor, a(x). a(x) = (b) Find the…

A: Rewrite the differential equation in first order and solve it.

Q: 4. S tan x dx CSC X sec (In x) dx 5. dx 6. S; 1- cos 2x

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Q: Find the area of the closed region enclosed by the curve defined parametrically by x = 4 cos t, y =…

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Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

A: Let's find.

Q: Given: In(1 + x) =(-1)". - xn+1 if |x| < 1. n +1 n=0 Find the Maclaurin series for f(x) = x ln (1…

A: Here given that: ln(1+x)=∑n=0∞(-1)nn+1xn+1  ...(1)if |x|&lt;1

Q: Solve the following differential equation:   y′′+9y=0; y=3,y′=3 at x=π/3

A: Given y''+9y=0; y=0, y'=3 at x=π3 To find the Solution:

Q: The interesting relation is x^2+y^2 = 13. I have drawn it and completed part 1. Part 2 is determine.…

A: Topic:- geometry

Q: Suppose that f has zeros at 1 and 3. Show that there are two distinct real numbers x1 and x2 such…

A: answer is in next step

Q: 5. If the population P of bacteria (in units of 1000) is declining because of a toxin, its rate of…

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Q: Find the area of the region enclosed by the rose r = 18 cos 30. NOTE: Enter the exact answer.

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Q: Solve for x

A: For solution of f(x) = 0 Drawing the graph of y = f(x) The point where the graph passes x axis

Q: Find the derivative f'(x) for the function f(x) = x² + x – 17. - O A. f'(x) = 2x – 16 В. f («) — 2а…

A: Find the derivative of f(x)

Q: Question Evaluate the following limit using L'Hospital's rule. lim + sin (6x) Provide your answer…

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Q: A fish tank initially contains 40 liters of pure water. Brine of constant, but unknown,…

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Q: ; Suppose v · w = 8 and ||3 x w|| = 2, and the angle between v and w is 0. Find (a) tan 0 (b) 0 =

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