n n ( a) Σ n3 +1 n=1 n² + 1 ( b) Σ n n3 +1 n=1 n3 (c) 5η n=1

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A: Here we have to verify that an acre contains 43,560 square feet.

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A: This is a problem of vector algebra.

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A: For the solution follow the next step.

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Q: 7. Solve the recurrence relation A, = 4 An2 - 3-A-1 subject to the initial conditions A, 5 and A, 10...

A: Given relation is An = 4.An-2 - 3.An-1 With A1 = 5, A2 = 10

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Q: 1. A segment has a midpoint located at (-2, –3) and an endpoint located at (-7, 2). What are the coo...

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Q: x,0 <x <1 CO.2 a) Show that the function f(x) given by f(x) = }k - x,1 < x< 2 is a probability densi...

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Q: Find the solution of the nonhomogeneous differential equation initial value prob- lem 3. dy dr3 y(0)...

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Q: Show all necessary solutions. I. Solve the systems. 4 2 2 b. y 3 4 3 :-7 %3| y 4 2 - y z 3 || NI N I...

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Q: Find z in 2= Sinh (4-j5). cos (4-5) express in polar porm

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Q: Let A be a diagonalizable nx n matrix and let P be an invertible n x n matrix such that B = P-AP is ...

A: The complete absolution is in given below

Q: 1. (~pVq) — (р %3D q) 2. (~рлq) V~ (r ) (p = q)

A: To construct the truth table of the given propositions.

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Q: Exercise Find ker f and Im f for f: (S3,0)→(Z2, +) such that so if x is evev permutation f(x) =} 1 i...

A: Ker(f ) is the set of all those elements of S3 which map to identity element of Z2  i.e ker (f) = { ...

Q: 1 1 1| 1 1 If A =|1 1 1], then A2018 = A?

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Q: Solve the following matrix equation for a, b, c, and d. а - b b+c 16 1 3d + c 2a – 4d 12 14 a = i i ...

A: Given a-bb+c3d+c2a-4d = 1611214

Q: Compute the Laplace transform of the following: f(t) = t2e 3t

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Q: Find the determinant using elementary row operation/cofactor expansion

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Q: The Maclaurin serles for f(x) = x²elz) is: (-2)*z*+2 (b) 00 (e) None (2)-kyk+2 2(k)xk+2 (c) 2kyk+3 (...

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Q: 5. The following linear differential equation models the charge on the capacitor, q(t), at time t in...

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Q: Əelre y +y?+ Hy' tHy=3sinCa)-coscad. lse the m coofficients. こ othod of undetermñecd

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A: Let U be the set of total students who answered a transportation survey. A be the set of students wh...

Q: ди ди then x +y = u. 31. If u = Jy² - x2 sin-

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Q: n an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How m...

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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Q: 2. 3 4. 21 4 FIND THE 3 4 2 DETERMINANT 4. 3 1 2. CS Spanned with GamScanner

A: Given A = 1234214334214312

Q: Given the curve: y = 4cos3x – 3cosx, find the following values of x (from 0 to 2pi radians) when a. ...

A: see the attachments

Q: Prove that the the following statement is true: if S = {⃗v1, ⃗v2,..., ⃗vn} is a basis for a vector s...

A: Given that S=v1,v2,....,vn is the basis of vector space V. Now let α∈V be any element of V and we wr...

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A: Given - Distance of child along the shore = 30 m  Distance of child from the shore =  40 m  To find-...

Q: 1 find the length of the curve x = 7y* + y2, from y = 1 to 24 y = 2.

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Q: 45 16 6

A: We have to divide these two problem. Here is the solution.

Q: 1 3 -4 2 0 0 0 0 0 0 0 0 -1 6. 1 -3 7 1 4 -3 0 0

A: Remark:  We know that the maximum number of linearly independent vectors in a matrix is equal to the...

Q: 7. Solve the recurrence relation A, = 4 An2- 3-A-1 subject to the initial conditions A, = 5 and A, =...

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Q: Consider the parallelepiped with adjacent edges u = 8i + 4j + k v = i+j+9k w = i+ 9j + 4k Find the v...

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Q: If P and Q are partitions of a, b|, then PU Q is a refinement of both P and Q. True False

A: If P and Q are partitions of [a,b], then P∪Q is a refinement of both P and Q.

Q: 10. a) Recursively define ao = 1, a; = 3, a2= 5 and an = 3an2 + 20ars for n2 3. Çalculate.gafor n = ...

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Q: Given 2 8 -2 -10 -67 [1 4 0 -4 -17 rref 1 4 -2 -6 -5 0 0 1 1 -1 -4 1 5 3 0 0 use the reduced row ech...

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