Interpolate by means of Gauss's backward formula, the population of a town for the year 1974, gıven that : Year 1939 1949 1959 1969 1979 1989 Population (in thousands) : 12 15 20 27 39 52

Q: Apply the Divergence Test, if applicable, to the series In 2n+5 n=1 Apply the integral test to the s...

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Q: Find the area of the region.vo Total area bounded by the curve r = sin 20

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Q: A clothing business finds there is a liuear relationship between the number of shirts, n, it can sel...

A: This can be solved using interpolation

Q: Test for convergence the series 3.6.9 ... 3n (i) E X" (x > 0), 7.10.13 ... (3n + 4) 0. 2.4.6 .. (2n ...

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Q: dydx COS (4) LL dydx + y? x² Vx4

A: Given Double Integrals are 

Q: Let U = {x: x is an integer and 2 7}, B = {x: x² > 20}. ii. A = {x:x2 – 3x + 2 = 0}, B = {x:x + 7 i...

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Q: Determine whether or not the following series converge. (You do not have to calculate the sums!) Jus...

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Q: List the first five terms of the sequence. a1 = 4, 5аn - 1 %D an+1 = az = az = a4 = a5 = X x x x X

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Q: Ex: what are the degrees and what are the neighbourhoods of the vertices in the graphs G and H ? a '...

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Q: A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store. ...

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Q: 2. Compute for a real root of sin Vx – x = Ousing three iterations of Fixed-Point Iteration Method w...

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Q: Evaluate the given integral by changing to polar coordinates. x² - y² dA, where D is the region boun...

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Q: . Two previously undeformed specimens of the same metal are to be plastically deformed by reducing t...

A: given    circular(diameter) rectangular original dimensions 18.0 20×50 deformed dimensions 15...

Q: find a vector of length 5 unit that makes angle 76° with Y-axis and 25° with Z-axis ?

A: To find a vector of length of 5 units that makes angle 76° with y-axis and angle 25° with z-axis.

Q: Given G(s) = (2s + 1)/(s² + s + 1), find the system differential equation.

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Q: Reindex the series to start at k = 0 y- Σ+ 1)τ*13 -Σ 00

A: Given series is y = ∑k=8∞(k+1)xk+3

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Q: Determine (without proof) the suprema and infima of the following sets: (a) {n € N : n² < 10} (b) {n...

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Q: Evaluate the integral. 3x dx 3* +4

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Q: Determine whether the sequence an = arctan(12n") converges or diverges. If it conver Converges (y/n)...

A: Introduction: We know that the series an is converging if the limit of the sequence an as n tends to...

Q: 2.) Edwin is three times as old as his brother, Four years ago, Edwin's age was two more than five t...

A: We have to find the present ages of Edwin and his brother.

Q: I. Try to look for a playing card if available then observe. If not, you can read the description to...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: Solve one real root of e* – 2x – 5 = 0 with xo = -2 using the Fixed-Point Iteration Method until abs...

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Q: List the first five terms of the sequence whose 2.. nth term is 3" – 2". Let n = 0, 1, - Saved

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Q: b) the region B in the first octant bounded by the surfaces z =r and r2 +y² + 2 = 1, and c) the regi...

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Q: 5. Use induction to prove that for every n E N we have E(k · k!) = (n + 1)! – 1 k=1

A: We want to prove ∑k=1n(k·k!) = (n+1)! - 1

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

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Q: 1 Consider the series (3п + 2)2 n=1

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Q: ala lo oepse a ad 1. Let m*(A) = 0. Prove that for every B, m*(BUA) = m"(B).

A: We have to prove the given statement.

Q: 4. Let A be a 3 x 4 matrix and B be a 4 x 5 matrix such that ABx = 0 for all x E R°. a. Show that R(...

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 9t5

A: Here we using Laplace transformation formula .

Q: Multiple Choice. Write the letter of the correct answer. Kindly explain why you choose the letter as...

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Q: 5.6) Apply the integral test to the series 1+e2n n=2

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Q: 3. Evaluate Jr (2- 4) az, where r is a contour from the two line segments, the first from z = -3 to ...

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Q: 11. Solve the system using Gauss-Jordan Elimination, by hand. -x+ 2y - 3 3x - y-1 (6)

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Q: Evaluate the following integral by changing the order of integration: S2 Vx sin x dx dy

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Q: Consider the triangle T with points A = (1,0, 1), B= (1, 1, 2), C = (-1,2, 2). 1. Compute the area o...

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Q: Use the right-hand rule and the properties of the cross product to make the following calculations. ...

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Q: 5. You are the proud parent of a baby girl. You estimate that the cost of her college education 18 y...

A: The complete solutions are given below  

Q: Determine whether S = {(4,3,2), (0,3,2)(0,0,2)} is a basis for R³. If it is, write u = ( 8,3,8) as a...

A: We have to determined whether S=(4, 3, 2), (0, 3, 2), (0, 0, 2) is a basis for ℝ3 or not. also we ha...

Q: ands 1. Let m*(A) = 0. Prove that for every B, m" (BUA) = m" (B). %3D %3D

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

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Q: /4-z² Rewrite the integral , L2 S* f(x, y, z)dydzdx: as an equivalent iterated integral in the order...

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Q: Let M be a subset of X (where XUY is the vertex set of a bipartite graph) Let all of M be matched by...

A: Given, M: subset of XM1&lt;M2, where M1 and M2 are independent sets.To show : There exists x∈M2/M1 s...

Q: b) ly. f x* 8(x, y)dA = f L*'dxdy %3D 12 Multiple Integral (1,1) 12y-y2 = H dy = (2y- y*) -y*ldy =(8...

A: Given  Iy=∬x2δx,ydA is the moment of inertia around y-axis of the colored region. So, Iy=∬x2δx,ydA=...

Q: Evaluate the following integral by changing the order of integration in an appropriate way: SSS2 12x...

A: Evaluation of the triple integral, using order of change of integrals

Q: Q1: Solve using Laplace transform y + 4y = 8(t), y(0) = y (0) = 0

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Q: Summarized on the right is the number of visitors (in millions) of the top five websites in 2015. Us...

A: First we find total number of visitors and then we divide D by the this sum. 

Q: (c) Determine the standard matrices [â] och [T] for â& and Tin the base Sn (for the appropriate n). ...

A: Given: A mapping T:ℙ2→ℙ2 defined by, T(p)=p'+p and the mapping x^:ℙ2→ℙ3 defined by, x^(p)=xp. To det...

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

A: To determine whether the given series converges or diverges using the integral test.