parallelogram is formed in R3 by the vectors PA = (3, 2, -3) and PB = (4, 1, 5). The point P = (0, 2, 3). a) Determine the location of the vertices.  b) Determine the vectors representing the diagonals.  c) Determine the length of the diagonals.

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A: To partially differentiate the function z with respect to x.

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A: What are the 4 cases of partial fraction decomposition?

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A: Give  partial fractions

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A: Let's find.

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A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

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A: Given that the sum of two number is S

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A: This question can be solved using the concept of combination.

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A: ∫01xx2+9dx

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A:

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A: A. B=48

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A:

Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

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A: We can solve the integration as below.

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A: Here, the given function is: f(t)=33-t

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A: Here is the solution: