1- Study the measurability of the functions:

Q: part e

A: The time after which we encounter the next marker is determined as shown below.

Q: 3) Find the volume of the solid under the plane z = x- y and above the region bounded by X = tan y,…

A: If is a bounded rectangle or simple region in the plane defined by and also by  andis a nonnegative…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

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Q: 3x 1. dx (Зx2 + 2)2 -3 2.J2 13-x 1 dx

A: Convergence of the series

Q: nis question we prove that certain sets are not convex. each of the following sets, give the…

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Q: If you are asked to apply Euler's method with (xo, yo) = (1, 7) and step size h = 0.5, how many…

A: As here given the initial condition (x0,y0)=(1,7) and h=0.5. And here we calculate for x=3 .…

Q: Consider the equation of the surface S given by where a is a en number and ß is an odd number. An…

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Q: Let f be a function admitting continuous second partial derivatives such that Vf(x, y) = (ax? + a?x,…

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Q: 1. An instrument store gives a 10% discount to all students off the original cost of an instrument.…

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Q: You can afford a $400 per month car payment. You've found a 4 year loan at 6% interest. How big of a…

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Q: Use the above formula to write each of the following limits as an integral (a) (b) Lm=0 nm-T lim n2…

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Q: 3- Use improved Euler Method to find y(1.4) if ya) = for xy' + 3y = x Take h = 0.2 Ans, when x = 1.4…

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Q: Suppose that a power series 00 f(x) = L anx" %3D n=0 has the radius of convergence p > 0 and that…

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Q: 3. Let L: R4 → R³ be the following linear transformation: 2x + y – w + 4z -x + 4y + 5w + 2z x – 3y +…

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Q: 1 -5e iwt dt + -jwt | 5e -jwt dt -1

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Q: Solve the given (matrix) linear system: 3cos(t) X' = ; x+ (3cos() [2 14 - 2 2et

A: The main objective is to solve the system of ODE.

Q: Q4. A salesman has to visit the cities A, B, C,D and E. The cost matrix is given below. Solve the…

A: Given: The cost matrix is given below: To solve: The given travelling salesman problem.

Q: Find the subspace generated by the vectors A= (2,1,-5), B= (4,3,7) %3D %3D So in space R³

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Q: Solve the initial value problem (3+ x*)y" + 4y = 0, y(0) = 0, y/(0) = 12. If the solution is y = co…

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Q: d.x = -2x + 5Y dt dy -2.x + 4y dt 5 cost X = \ sin t et 3 cost –

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Q: With the help of principle of mathematical induction, prove that 1 * 2 + 3 * 4 + 5 * 6 +…….+…

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Q: 1 B = -2 -2 ? Why? -1 5. 327 3. :-

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Q: Study the measurability of the functions: (sinx,x e [0,1] – Q. | i-f (x) = } x3+6 x € [0,1] n Q…

A: Given: fx=sinx,x∈0,1-ℚx3+6x2+2,x∈0,1∩ℚ fx=sinx,x∈0,1-Px3+6x2+2,x∈P and P is not measurable subset…

Q: Q4: Fill in the blank: If –3X + = 0, then X

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Q: f(t) = t(1 – t), on 0<t< 1 a) Find the Fourier Sine Series expansion and the Fourier Cosine Series…

A: Please check the expression of series. For Fourier sine series f has been extended to an odd…

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Consider the vector v = ( 5 1 -3) in R3. v belongs to Span{(2 -1 0), (1 2 -3)}. V | Select one: True…

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Q: Which of the following statement is false? (a) The characteristic of an integral domain is either…

A: Given are four statements in (a), (b), (c) and (d)   To Choose the false statement

Q: Advanced Math A company estimates that the production cost function of x product is giving the…

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Q: Second question: logarithmic functions Draw and explain y = 150(0.073)' in the form y = aekt

A: Choose few values of x and calculate the corresponding values of y for the function y=1500.073x.

Q: Paola's Typing 3200 2400 1600 800 20 40 60 Number of Minutes Which statement about the relationship…

A: Answer is B. Number of words is a dependent quantity as it depends on number of minutes.

Q: わuse Duse the Euler Method wethod Solve the : S+y tan x=SinzX ,ylo)=1,h2 0.1

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Q: What is the square root of -5?

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Q: Let A„x" n=1 be the Taylor series about x = 0 of the algebraic function 1- VI- 4x f (x) = 2 Show…

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Q: Consider the function f(x) = %3D x²+1 (a) Find the intercepts of the graph of f (if any). (b) Find…

A: Remark: The x-intercept is the point at which the graph crosses the x-axis. At this point, the…

Q: A car travels down a highway at 50 m/s. An observer stands 250 m from the highway. (a) How fast is…

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Q: 1. Let f be a function that admits continuous partial second derivatives such that: V{(x, y) = (22 –…

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Q: Solve the homogeneous system yi = 2y1 – 5y2 2 = Y1 – 2y2 with initial values y1(0) = 1 and y2(0) =…

A: We will first find the eigenvalues and eigenvectors of the coefficient matrix then form the general…

Q: What is the simple interest rate on a $1350 investment paying $319.82 interest in 10.3 years?  %…

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Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. a. te^3t +…

A: We have tfindo the Laplace Transform of the given function. a. te^3t + 2sint b. cos^2 t c. (1 +…

Q: Find the inverse to 2 by using the Euclid's algorithm  2 mod

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Q: 1.) Show the solution of the initial value problem: y' = -1+ 2x + y with y(0) = 1 4th Order…

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(x,y, z) = 4.x +2y + z subject to r…

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Q: Ql: Given that A = [3 -3 -5] and B = | 5,what is the matrix A - BT? 352

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Q: Pudge had $2.25 in dimes and nickels. If he had twice as many dimes as nickels, how many of each…

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Q: (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at…

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Q: 161 n + e 20 n 2n + tan (103 n) 00 The sequence is n=1 O divergent as its limit is 0 161 O…

A: Consider he given sequence. ln161n+e−20n2n+tan−1103nn=1∞ We have to check whether the given series…

Q: Duse the Runge-Kutta Method Solve the: Say tanrs tan x-Sinz X, ylo)=1 ,h2 0.1

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Q: a) Consider the set S= {t+1, +t, t+1). Detrmine whether p(t) 312-5t+3 belongs to span S. b)…

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Q: Consider and know that the function g defined by 1 g(x, y) = cos (Tx /y) + log3(x – y) | Answer the…

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