Suppose ʼn is a positive whole number. Simplify [n+1)! — n! × n. On! O 1 On + 1

Q: Convert the inequalities below to equalities by adding sack variables. Use s₁ and s2 for your slack…

A: INTRODUCTION: We have to convert those the inequalities into equalities, using s1 and s2 slack…

Q: Evaluate the following integral f(z)dz where f(2)= 1/2 and C is parameterized by z(0) = sin(0) + i…

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Q: I would like this problem to be solved via Differential Equations. Thank you! Suppose you cool a pot…

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Q: f(x) = (6x)5 Please use Calculus techniques learned in our course to provide a detailed step by step…

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Q: The revenue from the sale of a commercial vechicles is given by R = 62500x + 50000 (12 + 3x)-¹ -…

A: We will use application of differentiation.

Q: Solve the differential equation dy dx Give your answer an explicit solution, and use c as a…

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Q: Find the equation of a plane containing the line r = (-3, 3₁-1) ++ (-9,6/37 the plane which is…

A: The equation of plane passing through the point: x0, y0, z0 is represented as: ax-x0+by-y0+cz-z0=0.…

Q: Write the sum using sigma notation: 1/5 + 1/9 + 1/13 + 1/17 + ... = Σ n=0

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Q: If B is the inverse of A 2, show that AB is the inverse of A.

A: A square matrix A is said to be invertible if there exists a square matrix B such that AB=I, where I…

Q: Mike's Parts Inc, has a certain motor whose total revenue is R = 25x 0.04x² a) Find R(110) b) Find…

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Q: (j) 5″ n! π

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Q: If we want to use gradient descent approach to estimate the minimum of f (x) = x², and ï₁ = -2 while…

A: This is a problem of function of several variables.

Q: Consider the line which pases through the Parallel to the line X = 1 +7+₁₂y= 2 + + z=3+7+ find the…

A: Equation of line passing through the point x1,y1 and having direction ratio a,b,c x=x1+at , y=y1+bt…

Q: If a vector space has one basis that contains infinitely many elements,prove that every basis…

A: Basis: A set of vectors B is said to be a basis of the vector space V if the set B is linearly…

Q: . Solve the following equations using Gaussian Elimination Method: -6x1 +5x2-3x3 = 6 2x1 + 7x28x3 =…

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Q: P= set of students taking the Programming module C = set of students taking the Computing Science &…

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Q: Using the Law of Sines to solve the triangle if ZA = 40°, ZC = 69°, b = 13: ZB is degrees; a = C =…

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Q: e) Of the subscribers surveyed, how many watched at least one of these shows? (Simplify your apgu

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Q: Consider the sequence {n} defined inductively by x1 = 1, and Vn € N, n+1 = √4xn +5. Prove that {n}…

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Q: The arrows (1, 2, 3), (−1, −3, 4) and RS are equivalent. lf R = (0, 0, 0) and S = (x, y, z), then…

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Q: A company's revenue from selling units of an item is given as R = 1600x - 3x². If sales are…

A: Given, revenue in dollars of a company from selling x units of an item is R(x) = 1600x - 3x2…

Q: TÌM Find the general solution of this equation: 9y" + 6y' + y = ₁²−1 t²-t e 1)

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Q: Solve ď²y dx² 3 + y = secºx.

A: d2ydx2+y=sec3x The C.F of the differential equation is c1sinx+c2cosx Now finding the particular…

Q: Suppose that we use Euler's method to approximate the solution to the differential equation…

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Q: (a) Use the Midpoint Rule for double integrals with four squares to estimate the surface area of the…

A: Given: A paraboloid z=9x2+9y2 that lies above the square 0 , 1×0 , 1. To Find: a) Use the midpoint…

Q: Find general solution (6x^2 + 3y^2)dx + (6xy + 6y^2)dy = 0

A: Solution:-       The given differtional equation is                                ( 6x2 + 3y2)dx +…

Q: dy=(y + 9x) dx y + 9x = u

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Q: 4. Find the area of the surface S where S is the part of the plane z = 3x² +y that lies above the…

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Q: 3M „S •P

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Q: Let α be a zero of x3 + x2 + 1 in some extension field of Z2. Solvethe equation (α + 1) x + α = α2 +…

A: Let α be a root of x3+x2+1 in some extension field of ℤ2. To Find: The solution of the equation…

Q: Give an example of a 3 x 3 matrix A such that Nul(A) # {0}.

A: Let T:ℝ3→ℝ3 be a linear transformation defined by T(x,y,z)=x-y,y-z,z-x Therefore Ker T=x,y,z∈R3:…

Q: Determine the horizontal asymptote of the graph of the function. 2 X-4x +X-4 2 x-19 g(x)=- C OA. The…

A: Given function g(x)=x3-4x2+x-4x2-19we have to fnd the horizontal asymptotes

Q: What is the solution set? Select the correct choice below and, if necessary, fill in the answer box…

A: The given equation is                           6 - 3z = 15

Q: Nutrition   Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and…

A: Let ounces of chicken be x1 and grain be x2. Min Z =   9 x1 +   x2 subject to…

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 80x - 0.5x²…

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Q: Problem 2. Cordylia is a being who exists within six spacial dimensions as opposed to the mere three…

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Q: Find the angle of intersection of the plane 40 2z=1 in in Gg. radiga 15 ons radians with the plane…

A: The angle of intersection between two planes given by; A1x+B1y+C1z-D1=0A2x+B2y+C2z-D2=0 is given by…

Q: . What rule of inference is used in each of these argu- ments? a) Alice is a mathematics major.…

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Q: use Equation in the picture to verify that λ and v are an eigenvalue/eigenvector pair for the given…

A: We have given a matrix, A=6-10-1660-4-110. Any values λ for which Av=λv has nontrivial solutions v…

Q: A 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system is then…

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Q: Meteorology The normal monthly hightemperatures H (in degrees Fahrenheit) in Erie,Pennsylvania, are…

A: The normal monthly high temperatures are approximated by: H(t)=57.54-18.53cosπt6-14.03sinπt6. The…

Q: Find the least squares regression quadratic polynomial for the data points. (Let x be the…

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Q: Fix R E (0, 1). Use the Weierstrass M-test to prove that ot converges uniformly to f(t)=₁ on S =…

A: Weierstrass M-test :            Let  {fn} be a sequence of real numbers defined on set S and there…

Q: My friend Akilah needs help studying the behavior of the function f(x) = (6-x)5 Please use Calculus…

A: Solution details attached in step 2.

Q: I want to know that the situations of "if" in the question

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Q: A patient's order is 20 milligrams of a drug. Available in stock is 40 milligrams in 1 milliliter of…

A: Available stock of drug is 40 milligrams in 1 milliliter of liquid. The order of patient's drug is:…

Q: Solve the differential equation x²y"- 6xy'+10y=x cos(2x). Linearly independent solutions to the…

A: we solve  problem 2 ,,by method of variation of parameters .

Q: A new hybrid car sold in the United States reports a fuel usage of 38 mpg. Determine how many…

A: Here the milage of the vehicle is given in miles per gallon. So to convert it to kilometer per…

Q: Suppose that the sequence x0, x₁, x2... is defined by xo = 3, x₁ = 6, and xk+2=-6xk+1-5xk for k20.…

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Q: Solve dy = tan y cot x - sec y cos x, simple dx substitution [Hint: Express the functions first in…

A: dydx=tanycotx-secycosx We have to solve it . Remember : A differential equation Mdx+Ndy=0 is called…