Show that if [a,b] is and internal then f has closed banded any continues function from [a,b] to [a,b], f is a fixed point.

Q: Write a program in MATLAB to numerically solve for the concentration distribution in a duct of…

A: note :Since you have posted multiple questions, we will provide the solution only to the first…

Q: Š OA. √6.28 OB. √6+316 OC. √6.216 D. √6 +38 If F(x) = f(t) dt, where f(t) = 1 √6 +u4 u du, find…

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Q: TRIPLE INTEGRAL Given a solid bounded by the surface z = 1 - y² and the planes x = 1 -y, x = 3-y and…

A: Given a solid bonded by the surfaces  and the planes ,  and ,We need to find the volume of the…

Q: Find the Fourier cosine and Fourier sine transforms of the function Jk if 0 a. k f(x) = a x (2)

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Q: 1) Find the general solution of the equation Uzy + Uz Jesent 2€²x+y

A: Solution:

Q: 3. Solve of the Boundary-Value Problem (BVP) by the method of seperation of variables. du at a²u əx²…

A: The given problem is to find the solution for the given boundary value problem partial differential…

Q: Match each graph with its equation. Graphs can rotate with the mouse. F(t)= [cos(t), sin(t), t]…

A: The equations are:To Do: We have to match the equation with the graph.

Q: Let r(t) = (3t²5, 3e,-2 sin(-t)) Find the unit tangent vector T(t) at the point t = 0 TO) -

A: To Find: Unit tangent vector  at the point .

Q: 4) By the method of least squares, fit a parabola to the following data: 3 4 5 y 1 5 Also, estimate…

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Q: Prove that ľ cos(x²) x² In(x) da is convergent.

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Q: L. Locate the following percentiles under the normal curve. 1. PB4 2. P25 3. P78 4.P65 5. P44

A: Since you have asked multiple question, we will solve the first question (I) for you. If you want…

Q: I1 = I2 || = Solve the following initial value problem: 20 ²-(-25) * + (2000) ¹) ² + (501), #(¹) =…

A: Let                            From given system ,…

Q: Consider the simplex tableau given below. S2 P 0 1 0 X₁ 1 3 -6 X2 3 X2 3 3 -2 16 (A) The pivot…

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Q: Compute the integral f, e* dx using the trapezoidal rule for n =

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Q: Mara will need $10 000 when she goes to college 5 years from now. She has 2 options for saving the…

A: We know future value of ordinary annuity is where R is the periodic deposit, i is the periodic…

Q: group of order 126 cannot be simple

A: a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group…

Q: (b) Find the general solution of the differential equation dy X +3y=2 dx

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Q: Under the usual operations in R², which of the following subsets is a sub (~) (b) ³) {(₁) | √ = ²x +…

A: Let V be a vector space over a field F and W a subset of V. Then W is a subspace of V if and only if…

Q: Determine x to one decimal place. a. B C. 15.3 cm 14.2 cm 35° X 10.7 cm W 21.2 cm b. 12.3 cm S 58° R…

A: Introduction: To solve a triangle is to find the lengths of each of its sides and all its angles.…

Q: An incandescent light bulb costs $0.65 to buy and $0.008/h for electricity to run. A fluorescent…

A: An incandescent light bulb cost $0.65 to buy and $0.008 /h for electricity and A fluorescent light…

Q: 7) Determine the polynomial by Newton's forward difference formula from the following table: x y 0…

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Q: Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school…

A: Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school…

Q: 8. Find all maximal and prime ideals of Z10. Show Transcribed Text

A: Definition. An ideal P in a ring A is called prime if P = A and if for every pair x, y of elements…

Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? -10-9-7 -6 -5 -4 47040…

A: 1. If the graph of any function f(t) is such that it is going below monotonically for some t<a…

Q: Prove that k = ₁ t=0,s>o are the natural equations of the logarithmic spiral given by r= 1/2 e ²…

A: In mathematics, the logarithmic spiral is a fascinating curve that appears frequently in nature and…

Q: Find the Fourier transform F(e-az) of f(x) = e-a if x > 0 and f(x) = 0 if x 0.

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Q: You purchased one share of Acme stock for $500 at the beginning of the week. On Monday the stock…

A: Initial valueOn Monday the stock value increased 8%, then decreased 2% each day on Tuesday,…

Q: 1.calculate ſ₁ (x² − y) dx + (y² − x)dy, where L is the left semicircle with (0, 2R) as the centre…

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Q: Find the truth value of the statement: "The following graph is bipartite"?

A: First, let us make the partition

Q: Given 3x^2 +6y^2-z^2 = 36. Find and sketch each of the traces.  what is the quadric surface is…

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: [9(2, y, z) dv B = {(1, y, z) | 2² ≤ x² + y² ≤ 4², x > 0, y ≥ 0,2 ≤ z≤6} and g(x, y, z) = z.…

A: The given region is  and the function is .The objective is to calculate the value of integral .Use…

Q: Part 2: Calculating Probabilities 1. Questions Problem Statement The local college had 578 new…

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Q: Sketch the region of integration and evaluate the integral. 1 S S 4yª exy dx dy 00

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Q: 16) Find the missing ternis in the following interpolation table: 1 4 ? ? X 0 0 2 8 3 15 5 35

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Q: 36) Calculate the absolute and relative error in the following cases: a) True value = 1 x 10-6,…

A: Here we have to find absolute and relative error of a) and b).

Q: Evaluate the limit. lim e'i + (t + 7) 1-0 + 5t²k = Enter your answer in i, j, k form.

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Q: 3.Compute ((x + y)² + z² + 2yz)dS, where Σ is the sphere f x² + y² + z² = 2x + 2z.

A: Parametrize the surface:

Q: Find the fifth term of (a − √b)^9

A: Find the fifth term of (a − √b)^9

Q: Suppose the position of an object moving horizontally along a line after t seconds is given by the…

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Q: (Consider the function f: R R satisfying [x² - 4x +4, ifx ≥ 2 La(x), if x < 2 Define a (x) such that…

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Q: Determine whether if the following series are convergent, divergent, conditionally convergent or…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Exercise 4. Let -= (i ¹) = A € R²X2 1) Prove that for each n EN A" where F, is the i-th term of the…

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Q: Hi, I am looking for some help in understanding a differential equations problem to be solved by…

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Q: need the other two rows for the table, Construct a table of all basic solutions of the​ e-system.…

A: The question you have given is only constrain [Note : If you want other rows of the table kindly…

Q: In this Transportation D1 4 5 50 01 02 Total problem, the first tableau using the North Corner…

A: We have to find the first tableau using the North Corner Method for the following transportation…

Q: Find the average value of the function f(x) = 5x on the interval 1 ≤ ≤5 Question Help: Video Submit…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Find the following integral: 1 x+8 12 dx.

A: Integral :

Q: AABC has acute angles and point X is inside AABC. Points P and R are on AB, points T and Q are on…

A: Given that: Triangle has acute angles and point X is inside . Points P and R are on AB, points T…

Q: Using algebraic techniques, show that the equation sinx (cos x + sin x) = a has real solutions only…

A: As per the question we are given the following equation :sin(x) (cos(x) + sin(x)) = aAnd we have to…