Show that f(x) = is uniformly continuous by definition on the interval (-1,1) . 4 - *

Q: Q4) Find plane area inside polar function r 2 and outside polar function r = -2sine in third…

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Q: 3. 2х, — х, = 2 X - 3x, + xz = -2 3x3 —х, + х, — 3х, — —6 -X, + x2

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A: This is a problem of linear transformation.

Q: 3. Find the area of the region bounded by the curve y = Vx – 1, the y - axis and the lines y=1 and…

A: Simplify the equation y=x-1 to obtain the expression of x. y=x-1y2=x-1x=y2+1 Draw the graphs…

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Q: 2. Determine the volume generated about y-4 the area boun ded bay ×キの x and x?ty =3 メ %3D

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Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

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A: Given that the column of Q were obtained by applying the Gram-Schmidt process to the columns of A.…

Q: QUESTION 2) Evaluate the following integral r1.0016 9x2 + 2.6 dx 3x3 + 2.6x 0.1652 (a) analytically.…

A: We can solve this using formula of integration in that we use logarithm Next we use formula of…

Q: ди k = N k > 0

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform cos(t), f(t) = to, 0st 0)

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Q: dx2 dx dy + 4x dx 3. Solve the Cauchy-Euler equation x2 dy + 2y = e*. 4. Evaluate L(sint dx2

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Q: 7. Ry 9. Ro. 90

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

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Q: iven the following polynomials a and b in Fp[x], use a computer program omials d, u, v in F„, such…

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Q: Suppose a, > 0, bn > 1 and lim an = 0, lim bn = 1. n-00 n-00 Define An = {x : an < x < bn}. Find lim…

A: We have to find limn→∞supAn and limn→∞infAn

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Q: 3. Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of…

A: (a) C1: r = 3cos(θ) and C2 : r= 1+cos(θ)For point of intersection , equating equation of circle and…

Q: For any element z e Z,, let z denote 1 + , so that 2 is 0 when r is 1 and a is 1 when r is zero. Let…

A: We are given the following information. For any element x∈ℤ2, let x¯ denote 1+x, so that x¯ is 0…

Q: 1.21 Decide whether each subset of R3 is linearly dependent or linearly indepe: dent. 4 (b) { | 7 7,…

A: decide whether each subset of R3 is linearly dependent or linearly independent. (a) 1-35 , 224 ,…

Q: 8 9 -s 0 -1 0 2|-9 2 92 A = Find A21.

A: This is a problem of linear transformation.

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) =…

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Q: Complete the integral(s) that defines L{f(t)}. L{f(t)} = dt+ dt Find L{f(t)}. (Write your answer as…

A: We have to find the laplace transform.

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Q: 1.36 (a) Show that any set of four vectors in R2 is linearly dependent. (b) Is this true for any set…

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Q: 14. Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field: F =…

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Q: Find the 3rd degree interpolating polynomial by Newton's backward formula f(X;) Af(X,) A²f(X,)…

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Q: eration due to gravity on Earth's surface is g = 9.8 m/s². Let x be the height (in m) measured from…

A: Sol

Q: QA7. Considering the expansion of (V2+", n>= 4, if the ratio of the 5th term from the beginning to…

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Q: Suppose that demographic studies show that each year about 7% of a city's population moves to the…

A: Given, According to demographic studies, each year about 7% of city`s population moves to the…

Q: d?y 20 +y = x²e3x. dy 1. Solve by D operator method dx2 dx

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Q: - 3 - 2 Let y = u2 = Find the distance from y to the plane in R' spanned by u, and u2. - 6 u = - 5 1…

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Q: What is the region of the solid generated by the graphs of a = y – 4y and a = -y ?

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Q: G || 9) List any parallel edges in G. h) List any isolated vertices in G. 1) Find the degree of each…

A: (g) e8 and e10  are parallel and e5 and e6 are parallel edges.  (h) V7 is only isolated vertex.

Q: Find a subgraph H of the graph G given below that has 4 vertices and 3 edges.

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Q: he eigenvalues and eigenvectors of matrix A =| 2 -1 -2 1 -6 "ped answers are acceptable. You can…

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Q: В -21 72 57 29 16 65 84 А 33 -19 D 91 81 47 102 F E 25

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Q: references of both individuals be given by log(Ci) + ¿ log(C2). Suppose that ndowment vectors are wA…

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Q: Find partial derivative, zg and Zy for the following function: e 2x²+3y Z =

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Q: Evaluate the Laplace transform of tcos2t. O a. 6s2+ 24s+ 26 s°[(s+3)? +4} O b. s?+25 (s? – 49)? O c.…

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Q: sin x – e-* = 0, [0,1] %3D

A: the given equation is sinx- e-x=0  The given interval is [0,1] the formula for the false position…

Q: – 13w + 2x + 6y +z = -7 Ow + 9x +4y + 3z = 4 3w + 2x – 8y -z = -5 - 2w + 3x + 2y +10z = 0 | SECTION…

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