Evaluate the following telescoping series or state whether the series diverges. 1 1 Σ (n+1)* 102. 13 13 n=1

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Q: 2. Evaluate (using graph): (i) dr -1| dr

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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.

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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=...

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Q: q (x) = 3**2+2 (a) Use transformations of the graph of y=3* to graph the given function. (b) Write t...

A: Please check the details in next step

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Q: ht

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Q: . Find : P+ cos z (i) y = sin (ii) y = (In x)cos(e)

A: Introduction: Derivative of some functions is given by, ddx(sin-1x)=11-x2ddx(logx)=1xddx(cosx)=-sinx

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Q: 5. The temperature, T, in degrees Celsius, of a cooling T(t) = 100(0.3)0.2t + 20 a) Sketch the graph...

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Q: Let a,b be integers, not both 0. Show { na + mb : n,m ​​​​​are integers} = iff a and b are relativel...

A: We have to prove the given statement.

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Q: (8) 5 2.

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Q: T (F) H (btu/lb) 800 1000 1200 1400 1600 1303.6 1458.4 1585.3 1706.1 1826.1

A: We can solve this by using Lagrange's interpolating polynomials of degree 2

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Q: Consider the matrix 2 -3 -2 -1 A = 6 8. 1. 1. (a) Find a basis for Im(A). Be sure to show your work....

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Q: g I OPn oi lo ponnipes in b 0Nat hol tol novun and 1. Let m*(A) = 0. Prove that for every B, m*(BUA)...

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