Prove, using mathematical induction that for an integer n 2 1, 1+5+9+... + (4n – 3) = n (2n – 1).

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Q: product

A: Topology

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A: The volume for solid of revolution between curves is the volume of object between a curve fx and a…

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Q: Question 2 Show, using truth tables, that (a) -(p V q) A r = ¬p^(Ar),

A: First we construct the truth table. We use "T" for "True" and "F" for "False" in the truth table.

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A: Introduction: A polynomial is a very important real-valued function. The degree of a polynomial is…

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A: Theorem  :  If   W  be a subspace of V and  dim(W) = dim( V) ,  then  V= W

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A: Introduction: The formula of the area between two curves is given by, A=∫ab(f(x)-g(x))dx

Q: Pr. #14) Find and sketch the domain of the function in R2. In [sin- ()] (x, y) x2+y² %3D -

A: This is the problem of multi-variable functions.

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Q: Problem 1. (i) Let A, B be n x n matrices. Assume that [A, B] = 0n and [A, B]+ = 0n. What can be…

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A: We can solve this using truth table

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Q: sinca)-dx

A: Numerical Analysis Question.

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A: To find the value of c we will form a matrix A taking given vectors as rows, then matrix is…

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Q: Given the differential equation dy x +1 y = 1- y > 1, x> -1. dx (x – 1)(x + 2)' a) Find the solution…

A: Use variable separable.