[1] The working equation that will determine the critical quantity y must satisfy the equation: 202 B 1 -, 9.81A3 y2 Where B=1+y and A = 4y + 3

Q: Locate the centroid of the volume bounded by the equation y^2 = 4x, x = 1 and the x-axis and…

A: The solid is symmetric figure , the centroid lies on the x axis. The y and z coordinates are 0.

Q: 3. Solve the equation cosh 2x + cosh x 5, giving x to three dec. places. %3D

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Q: Suppose that an amount of 10,000 dollars is invested at an annual interest rate of r% compounded…

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Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. x/2 3/4 y/4 y/2

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Q: C) = ("†')-,",) n Q1. Show that : ir %3D

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Q: The tangent planes to the ellipsoid =1 meets %3D 62 the coordinate axes in points A, B and C. Prove…

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Q: 1-Determine if W is a subspace of Mnn CEMn,W = {A€Mnn: CA'C1= A} %3D

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Q: Let G be an undirected graph, with adjacency matrix 1 1 1 1 1 A = | 0 1 1 1 1 1 1 1 1 1 How many…

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Q: Round-off intermediate values to 7 decimal places, and 5 decimal places for the final answer.…

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Q: Let f be a function that takes elements of R?rR? into R' as follows: f(u, v) = |u1v1|+ |u2v2|, where…

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Q: Prove that the function f = (sin kæ)(sin my)(sin nz) where: k, m, n are constants 82 + dx² ' Sy? '…

A: f(x) is an eigen function of an operator F(D) if  F(D)f(x)=kf(x),      where k is a constant, known…

Q: A certain city's population has been in decline since 2010, at which time its population was…

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Q: Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. y(x) =…

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Q: 1. Represent each of the following sequences by a formula, a, = f (n), with the given starting…

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Q: 3- Let {u,v,w} be a basis for a vector space V. Is {u + v,u + w,v + w} a basis for V?

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Q: volume solid= T1 da.dy.dz of 30 2पट 5 1. r.das.do.dz

A: Given, Volume of solid=∫∫∫v1·dx·dy·dz=∫03∫02π∫051·r·dr·dθ·dz

Q: A It is 2 P.M. and Phong is driving 45 miles per hour to get to his sister's college graduation. The…

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Q: Calculate F. dr. where F(r, y) = (32 + 3y, y? – 7x) and C is the positively oriented boundary curve…

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Q: Find the first four nonzero terms of the Taylor series about 0 for the function f(z) = z sin(5z).…

A: To find the first four nonzero terms of the Taylor series about 0 for the below function. fx=x5sin5x

Q: 3- Let {u,v,w} be a basis for a vector space V. Is {u + v,u + w,v + w} a basis for V?

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Q: r the positive mteger n. e mathematical nouction to sha n) B frue for all positive intege

A: Introduction: Mathematical induction is a mathematical technique for proving that a statement,…

Q: A. Evaluate the following integrals: 3 1. tan'x dx

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Q: Find the series solution of 2 +2x using frabenius methd

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Q: (3a) Let n E Z. Prove that if 3 ł n, then 3|(n² – 1)

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Q: X3 D.

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Q: If f (x) = 2x VxE [a, b]. Show that; b. S [(x)dx = b² – a²

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Q: 6. Evaluate the integral! ~ 0.7 c0.6 e* sin y dy dx 0.2 (i) Using the trapezoidal rule in both…

A: Given that,      ∫0.10.7∫0.20.6exsinydydx∴ ∆x=0.1=∆y⇒∫0.10.7exdx∫0.20.6sinydy xn ex exsiny 0.1…

Q: 2-Show that the following polynomials from a basis for P2. 1- 3x + 2x?,1 + x + 4x²,1 – 7x

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Q: what is the solution

A: The series diverges.

Q: 1. Please rewire the expression below without the summation operator.

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

Q: Find the polynomial that fits the set of points given below 66 10 А) X3 — 0.5х2+ 6 B) X3 + 2 С) X —…

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Q: Consider an Ultimaton game in which the disagreement payoff of each player is c> 0. Which of the…

A: In an ultimaton game we have one player making an offer of how to split a given amount, and the…

Q: Question 1 Use Laplace Transform technique to solve the initial value problem y' + 2y = 26 sin 3t ,…

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Q: Show complete solution similar in the picture below 9610 B2 B8 B16

A: Conversion of base 10 to base2, base8 base 16

Q: 10 0 01 2 1 0 1 3 1 -1 2 0 1 3 0 2 2 -2 0 0 0 0 0 0 1 Ax = x= NNOM

A: We have to find the null space of the matrix A. Then, we have to find the solution of the linear…

Q: Find the null space of matrix A which is 1 3 13] 7 3 8 A =-2 -5 -3 0 3 2 6. 24 3 13 1 2. 6 3.

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Q: Prove if f is a nonnegative measurable function, then there exists an increasing sequence (ϕn) of…

A: The given question is related with measure theory. Suppose that f is a non-negative measurable…

Q: Activity IV. Determine the truth value of each item. A. If X and Y are true statements and A and B…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: 1 2 3 A =2 2 8 10 3 3 10 13

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Q: -2 1 y = f(z) 14 17 105 Hence find:

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Q: Question 2 Find the value of f(z) = z3 +z as z-i along the paths (a) parallel to the x-axis coming…

A: Given  f(z)  =  z3+ z To evaluate the limit of f as z → i  along two different paths

Q: 8 m/s 6 m/s 3 m/s 2 m/s C, C; C4 C, 4m/s 2 m/s 5 m/s 4 m/s 4m/st c=20 mg/m³ 12m/s c= 15 mg/m 6m/s…

A: Consider the diagram showing the five mixing vessels connected by pipes. To obtain the simultaneous…

Q: Use the data of the table below and Newton's divided difference formula to compute f(1.63) I 11 12…

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Q: Sketch the curve x = 3sin?t, y = 4cos²t (0<t s-) by eliminating the parameter, %3D and indicate the…

A: Here we use basic transformation .

Q: le one leaf of the three-leaved rose * = cos30

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: Q) find Fourier series on [-n,7] (2) ƒ(x)=sinx

A: Note: According to our guidelines we can answer only first question  2)

Q: 2-Show that the following polynomials from a basis for P2. 1- 3x + 2x²,1 + x + 4x²,1 – 7x

A: Consider the polynomials: 1-3x+x2, 1+x+4x2, 1-7x To show that the following polynomials form a basis…

Q: Show that im n /-

A: Limit of the sequence

Q: pand f(x) =5x as a half-range Fourier sine series in the range 0 < x <A , and sketch the function…

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