Question 30 7 and 20 respectively. What The 4th and 7th terms of a geometric sequence are is the sum of the first 7 terms of this sequence? 27 729

Q: Let T: P2 that is, 7. > P2 be the linear operator T(p(x)) = p(2x+ 1), T(co+ C,x+ C,x²) = c, + c,(2x…

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Q: In three dimensions the equation x² + y? = 1 represents a Similarly, the equation y +z = 1…

A: We will answer this question by analysing figures given in the question

Q: xact length of the portion of the curve shown in blue, and find the e

A: Introduction: The arc length of the polar curve r=r(θ) is given by the formula, L=∫abr2+drdθ2dθ…

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A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Give a recursive definition of the following sequences {a,},n = 1,2, 3, ..... Put the appropriate…

A: 1)   an=6n an=6n .............(1) To find value at n=1 a1=61=6 to find n+1 term put n+1 an+1=6(n+1)…

Q: If the determinant of a 5 x 5 matrix A is det(A) = 8, and the matrix D is obtained from A by adding…

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Q: Michelle is building a model with tiles. She has built a wall with a length of 6 inches using 14…

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Q: 7. Let V = R3 with B = {(1, 0, 1),(0, 2, 1),(2, 1, O)} and W = P2 with D = {1, x, x- %3D %3D (a)…

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Q: 2. A climbing vine is taking over the side of a building. At first the vine only covered 10% of the…

A: Introduction: A differential equation has one or more equilibrium points. The equilibrium points are…

Q: The convict escaped either by crawling through the sewage pipes or by hiding out in the back of the…

A: Here , s = The convict escaped through the sewage pipes. d = The convict escaped by hiding out in…

Q: Detemine whether the series converges or diverges. State wwhich test of canvergence / divergence You…

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Q: Find a basis for the subspace of R" spanned by the vectors 1 1 .2. -3. .6.

A: Use the given vectors.

Q: Evaluate the limit: lim if f(x)=x. Answer is an integer. n oi = 1

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Q: Given: A= 3 1 B= 1 2 1 C = 2 1 4 6 1 2 4 4 7 7 4 3 3 5 2 6 1 D 1 E = 3 F 1 2 3 v-[ :] u = 3 Evaluate…

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Q: a. A'n C b. (An B) U D c. (An B) U(CnD) d. (BU C) nD (A U BY е. B.

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Q: erential equations, use phase flow, ial conditions, indicate x and y Iclines and equilibria. (if…

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Q: Find the area of the region enclosed by y = 2.5r and r=4 . Use horizontal strips to find the area,…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: ANBANBA' O B A'N B'

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Q: Suppose that the Celsius temperature at the point (x,y,z) on the sphere x +y +z = 1 is T= 1100xyz".…

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Q: Find all second-order partial derivatives of the function f (x, y) = x + xy – 5x³ + In(x² + 1).

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Q: show that f(z)=(z-1) cos(1/z+2) has an essential singularity at z=-2

A: Introduction: Laurent series has an important role in determining the singularities. Suppose, a…

Q: what is a connected dominating set ? And give examples

A: A connected dominating set of a graph G is a set D of vertices with two properties: 1) Any vertex in…

Q: Rn %3D *ーラ=)+ ニ x²+2 x20 puiy (日 an swere and 4) Find all x for which o>ズ x+S) working f (x) = 9).…

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Q: an = 2an-1 + 8a,-2 + 81n for n > 2 with initial conditions ao = :-23, aj = -59. An =

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Q: (I + u)u] 2 induction prove that 13 + 23 + ...+ n³ = , for n > 1. 2.

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Q: Show that Z[V-2] is a Euclidean Domain with respect to the norm N defined by N(a + by-2) = a² + 2b².…

A: This is a problem of abstract algebra.

Q: Use the function to find the image of v and the preimage of w. T(V1, V2) = (V1 + V2, V1 - V½), v =…

A: To solve this problem we follow the following steps : Finding image :  Write down the given…

Q: Prove that a circle in H projects to a Euclidean circle in D. Conclude that not all triangles in…

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Q: Find the area of the shaded region. The image is not to scale. y=F y=- Consider c=64. Enter the…

A: Given that,An area is covered by the equationsy=x, x=C, y=-1CxWe have, C=64Substituting C=64, we…

Q: what is a maximal Matching ? And give examples

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Q: aw- Let Z[/2] = {a +b/2 |a, b e Z} and let H = { b а 2b : a,b eZ }. a Show that Z[ /2] and H are…

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Q: Find the laplace transform of cos at using the formula L{f (t)} | e"f (t) dHencefind the laplace…

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Q: For the argument: represent the argument symbolically; determine whether the argument is valid or…

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Q: 4. Find a general solution of the linear system. x' = 2x + y = x + 2y – e2t

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Q: Five students (one is named Fer) and their best friends (one of whom is named Stan) all live in an…

A: Five students (one is named Fer) and their best friends (one of whom is named Stan) all live in an…

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim 0 sin 2 -16 2. lim 4 (V+5)-3

A: 1. Here limx→07xsin 2x is of 00 form, so by applying L. hospital rule, we get limx→07xsin 2x =…

Q: How many elements are in the union of four sets if each of the sets has 98 elements, each pair of…

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Q: Find the flux of the field F(x,y,z) =z° i+xj-6z k outward through the surface cut from the parabolic…

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Q: If a 4 x 4 matrix A with rows ij, vz, vg, and ö, has determinant det A = 4, then det 9v1 + 9v4

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Q: 4) LetXbe any set with the discrete topology. Let Y be any subset of X. Prove that ô( Y ) =Ø.

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Q: Identify the correct truth table that represents the compound proposition (p -g)v(-p-r)* P-r (p-…

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Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

A: Given:f(t) = 2.5(1.007)t

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

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Q: Find all the roots of the given function. Use preliminary analysis and graphing to find good initial…

A: Given the function is  fx=4lnx-x2+6x-3

Q: x" – 6y' – 7x = 0 y" + x = 3 x(0) = x'(0) = y(0) = y'(0) = 0. %3D %3D

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Q: Question For the function given below, write Newton's formula as x+1 = F (xn) for solving f(x) = 0.…

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Q: Let where A and B are some constants. given that ü = , V = ü + 10v = find the value of the product…

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Q: State the order of the given ordinary differential equation. (1 – x)y" – 9xy' + 5y = cos x Determine…

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Q: 1. Use mathematical induction to prove а) 1 - 1! + 2- 2! + ... + n:n! 3D (п +1)! — 1 for all n 2 1.

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