. Find the odd and even half range expansion of the given function: Hint: Use Slope Intercept Form or Two Point Form to get the function

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Q: QUESTION 4 Copy of and g (x) =- h(x) 1-x1(x) =x r(x) = x- 1 Let A denote the set Rvo. U and f, g, h,…

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Q: Problem 3: Show that the partition P= (7, 6, 5, 4, 3, 2, 1) is not graphic. Solution:

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Q: . Graph the rational function f(x)

A: Given,        f(x)=x2-x-2x2+x-2

Q: n+1 *Determine the interval of convergence for ) (x-5)** í(n+3)4* (Be sure to check the endpoints.)…

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Q: Given a positive sequence {a,}n>o satisfying Vai > yao + 1 ana a < 1 An+1 an-1 for any positive…

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Q: Let f : R² → R² be a continuous function. Prove that f([0, 1] × [0, 1]) is compact.

A: It is given that f:ℝ2→ℝ2 be a continuous function. Prove that f0, 1×0, 1 is a compact set. Let Gi:…

Q: find the Linear transfromation Ti Manz (R) whose matrixM t7 1- -1-

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Q: II. Consider the function g defined by 1 g(x, y) = = cos (Tx Vy) + log3 (x – y)" Do as indicated. 1.…

A: (II) Given that gx,y=cosπxy+1log3x-y=cosπxy+log3logx-y.............(1) To find: (a) ∂2g∂y∂x…

Q: 2. Represent f(r) = In(3+x) as a single powerseries using the building block 1 ", r|<1, together…

A: Power series exaption, using diffirentaion and integration

Q: Find the solution to x' = y y' = 12x + 1y if x(0) = 0 and y(0) = 8

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Q: 3. Plot the slope field for the differential equation = y² – x and sketch the solution for the…

A: Given: A differential equation dydx=y2-x. To sketch: Slope field of given differential equation and…

Q: Two cars to wards euch cther One car soomiles apart aind mosing is moving ata is méing at 70 mph-…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 convergent or divergent. b)…

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Q: Use Newton's method to approximate a root of the equation 2a' + 7x + 2 = 0 as follows. Let z1 = 1 be…

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Q: Find the solution to the linear of differential equations 42x + 120y system satisfying the — 15х —…

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Q: It is possible to write rk as a linear combination of Chebyshev's polynomials, for example Suppose…

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Q: Determine the distanee between the point ( 2,-3,1) and the point of intersection of the following…

A: We have to find the distance between two points.

Q: Give two (or more!) examples of sequences (a„) such that a, → 0 but E1 an diverges. Give two…

A: We have to give two examples of sequences an that an→0 but ∑n=1∞an diverge and we have to give two…

Q: Identify a generating curve on the XZ-plane for the surface of revolution with equation x? + y2 + Z?…

A: Solution-

Q: 6. ! Write down the relation matrix of the abelian group G specified as follows. G - {x, y, z, w |…

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Q: Determine if the following series converges or diverges 3 E (1 - n=1

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Q: Determine the expression of the definite integral that will allow calculating the area between the…

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Q: 19. For the three-part question that follows, provide your answer to each part in the given…

A: Part (A): To write: characteristics of Stretch transformation. Part(B): To Write: the difference…

Q: Suppose the first 4 terms of a geometric sequence are 4, x, y, 28, .. Determine what x and y must…

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Q: You invest in an annuity with a regular deposit of P%-D250 dollars each month. The annuity pays an…

A: Given: P=250, r=0.030 and i=r12 The balance in the annuity is described by the sequence, b1=P,…

Q: 1 -3t e ÿ(0) = 3 5

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 + 9 + 1 /3 +... 4 p…

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Q: * A region is bounded by y = 10 – x2 and y = x – 2 part A Compute the area. This region is a base of…

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Q: Apply the first part of the fundamental theorem to determine the value of F'(x) if: e) F (x) = S…

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Q: Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t…

A: Lef and right end point approximation

Q: Use the finite difference method to solve the system of equation given by: y" + 2y" + y' +y=x? y(0)…

A: Given D.E. y'''+2y''+y'+y=x2  ……………………(1) By discreating the equation(1),we get…

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series s- ( ) 1 S = n + 1 n +2…

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Q: me Wr fuzzy number right fuzzy index Bu6pat.. moda У Вибрати... left fuzzy index 1

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Q: Continue to assume that the height of your cylinder is 66 inches. Write the radius rr as a function…

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Q: 3. The path of a soccer ball kicked into the air is modelled by s(t) = 0.2+ 19.6t – 4.9t, where s(t)…

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Q: Solve the right triangle using the given information.   a=76.9 ​yd, b=40.2 yd         Part 1 The…

A: Given that: ABC is a right angle triangle a = 76.9 yd  b = 40.2 yd

Q: t°yı + 2y2 + sec(t), sin(t)y1 + ty2 – 4. This system of linear differential equations can be put in…

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Q: Find the eigenvalues and eigenvectors ofA = %3D 2

A: we have to find eigenvalues and eigenvectors of the given matrix.

Q: Use the Laplace transform to solve the given initial-value problem. y" +y = 2 sin(2t), y(0) = 11,…

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Q: Consider the initial value problem 1 Y1 -4 2 5 cos(4t) [Y1(-1)] [y2(-1). This initial value problem…

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Q: Find the maximum and minimum values, and a vector where each occurs, of the quadratic form subject…

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Q: d. The distance a freely falling body covers in the nth second is given by S(n)=d(n)-d(n-1). Show…

A: We know distance traveled by a freezing falling body in n seconds is given by  dn = 1/2(gn2)

Q: .2 ペ+15X+ 32X"+23x*+25K-3 Ax (+メ+2) (x2+1)。 2.

A: ∫x6+7x5+15x4+32x3+23x2+25x-3x2+x+22x2+12dx

Q: We know that SLa f(x)dx = 10 and Sf(x)dx = 20. Determine the value of the following integral e) L 5f…

A: To find The value of the given integral by using the above definte integ

Q: What is the distance between the line with Cartesian equation x-8 = y-9 = z-8 and the line with…

A: We have to find the distance between two given lines.

Q: It is possible to write æ* as a linear combination of Chebyshev's polynomials, for example a² =…

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Q: 1. Find the radius of convergence and interval of convergence of the power series n²5n n=1

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Q: Use Simpson's Rule (not composite) to approximate 2 2 dx x2 +4 0.78333 0.78540 0.78533 0.78139

A: To use simpson's rule to approximate the given integral.

Q: What is the distance between the line with Cartesian equation x-8 = y-9 = z-8 and the line with…

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