F(x) =: (3, 7), [-6, 4), (-∞, 0), (-5, +∞), [-5, +∞), [10, -5) %3D x+5 E F(x) =: (0, 1), (-1, 1), [0, 1], (-1, +0], (-∞, – 1], (1, +∞) %3D x2-1

Q: n square un ces tis on t

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Q: Let A be a square, invertible matrix and let A' be its transpose. Which of the following statements…

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Q: sin x dx dy, is The value of the integral equal to

A: Direct integration is not possible in this case so here first we switch the order of integration of…

Q: Find the first cube root of the complex number z = 512 Cis(180°) of the form a + bi Ob.4v3-4i Od.4 +…

A: Given z=512Cis(180°) Formula: nth roots of complex number z=a+ib are given by zk=r1ncosθ+360°kn+i…

Q: -ts) Consider the function e f (2) = (z – 2) (z – 2)? for |2 - 2| > 0. Find Laurent series expansion…

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Q: For each of the regular solids, take the number of vertices, subtract the number of edges, and add…

A: Consider a regular solid Cuboid: here we can observe that, Number of vertices is 8. Number of edges…

Q: 6. In the diagram shown, altitude AC is drawn from a right angle to BD in such a way that BC:DC =…

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Q: find the mode of 9,12,15,15,19,20

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Q: Use the inner product (f,9) = f(z)g(x) dz in the vector space C"0, 1] of continuous functions on the…

A: It is given that fx=-5x2-3 and gx=9x-7. We have to evaluate f, g, f, g and αf, g where αf, g is the…

Q: Establish that if a is an odd integer, then 2" а = 1 (mod 2" +2) for any n 2 1.

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Q: 16 I-2 x2-4 4,

A: 4x-2-16x2-4 =4x-2-16x2-22 a2-b2=(a+b)(a-b) =4x-2-16(x-2)(x+2)

Q: sin x

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Q: Find the area of the surface generated by revolving about the y-axis the part of the curve x2…

A: We have to find the surface area about y - axis.

Q: For which fields Fand polynomials fE F[X]), described below, does the quotient ring F[X]/(F[X] f)…

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Q: How do you derive (by hand) the given eigenvalues and eigenvectors of the following tridiagonal…

A: I assume that the given matrix of the m-1×m-1  In this context,  matrix can be written as M=In+λJ…

Q: 3. A hydrologist needs to estimate the volume of the water in the approximately circular well as…

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Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function = x³y2 sin(xy) +…

A: Given below clear explanation

Q: Consider the following function 522 – 4z + 3 - f (z) = (z+1)(z+2)(z +3) Find the residue at each…

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Q: Use limits to determine all the linear asymptotes of 3r2 – 5 2r2 + x if r1. 1² + 2x – 3'

A: Given: f(x)=3x2-52x2+x,if x<1x3x2+2x-3,if x≥1 To determine: All the linear asymptotes.

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: Find the partial fraction expansion of the following and evaluate: i. 21 (x2 – 1)2 1 i. 21 dx J,…

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Q: Let A = A5x 7 be such that rank(A) = 4. Which of the following is equal to the dimension of N(A)? 01…

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Q: 1ocm = 1m L,= 2363 cm= 236. 3 m Lo67m- 6.7m g=223cm= 22.3m 5=221 cm² 22.1m L4: 40cm - 4.0m 42° 1295…

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Q: x-1 y+3 12-z Consider the following lines defined by I,: and l2: 9. =- %D 7 x = 2t + 10, y = 5t, z…

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A: To find the fluid force on the vertical side of the tank, where dimensions are given in feet.

Q: Consider the following function 5z2 – 4z +3 f (2) = (z + 1) (z + 2) (z +3) Find the residue at each…

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Q: The eigenvalues of A will be complex conjugates. Analyze the stability of equilibrium (0,0). Is it a…

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Q: Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos (20) that is to the right…

A: If f is continuous and non negative on the interval α≤θ≤β with 0<β−α≤2π. Then area of the region…

Q: 1 2 Consider the matrix A = Find the entry in row 1, column 2 of the matrix A16 • Previous

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Q: dz where C is ned by x = 0, :

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Q: Use the O -1 1 Consider the matrix A = -1 0 0 2 Which of the following statements are True? Select…

A: (.)  A non - zero vector ' v ' is called an              eigen - vector corresponding to the…

Q: 3x2 – 5 if r 1. r? + 2x – 3'

A: This is a problem of asymptotes.

Q: An ellipse + 1 is revolved around the y-axis. The volume generated by the solid of revolution if a =…

A: Let us first calculate the y value on the ellipse at x = t.   From the equation of the ellipse, at x…

Q: If u = ln( °+y³ x+y ). then find the value of ди ?

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Q: QUESTION 1. APPORTIONMENT. Five city police departments are asking the FBI for urgent assistance.…

A: We know for Alexander Hamilton's method of apportionment, standard divisor = Total populationTotal…

Q: Let V=R° be the vector space of ordered 6-tuples of real numbers with the usual addition and scal…

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Q: he face of the right triangular

A: Given,

Q: Show that the following equation is homogeneous and then find the general solution. か_デー y -xy dx…

A: We have given differential equation ,  dydx = y2 - xyx2 - xy Here , fx , y = y2 - xyx2 - xy Now ,…

Q: 4. In each part below, give an example of a function which satisfies the given criteria. Justify…

A: (i) Here we have to find a function whose domain is -1, 1 such that limx→0+fx=3, limx→0-fx=-2

Q: az (b) Determine the by using the Chain rule with the following information: ds z = cos (x"y) – sin…

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Q: 12. The "Jibonacci" numbers are the average of the two previous numbers: gk+2 = (gk+1 + gk) so that…

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Q: 3. -1 -2 Let A- -2 -6 3 4 -2 Then the cofactors Ca and e determinant det(A) det(A,) det(A) call…

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Q: + 6y' + y = 0, y(0) = -1, y'(0) = 2.

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Q: 3. Define f:R –→ R by ƒ (x) = sin (1/x) if x # 0 and f (0) = 0. (a) Show that fis not continuous at…

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Q: 5. Find the general solution to the DE using the method of Undetermined Coetficients: y" + 9y = 2…

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Q: 10. Let v = [1, 1] and w = [2, 1] be two vectors: find the project of v into w d bu [1 11. 11. 1, 2,…

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Q: Solve the initial-boundary value problem 400 0 0 u(0, t) — и (6п, t) —D0 t>0 ди u(x,0) = –50 sin(æ),…

A: Consider the wave equation with the initial-boundary conditions: utt=c2uxx,0<x<L,…

Q: In Exercises 17-22, write , fdA as an iterated integral the shaded region R. 17. y 18. 2 F 12 1. 3…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Solve the abscissa of the centroid of the solid generated by revolving about the x-axis the area…

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Q: using f(x)=(3x)^2-5x-12, find f(-3)

A: Given    f(x) = (3x)^2 - 5x - 12 , then f(-3) = ?