Multivariable Calculus | Proveiff Study

is sequence of even numbers is an arithmetic progression?

By SK Math Expert November 6, 2021Abstract Algebra, Mathematics, Multivariable CalculusArithmetic Progression

Question : Is sequence of even numbers is an arithmetic progression? Solution : Yes Explanation : Sequence of even numbers is 2,4,6,8,10,.......... for this sequence we calculate Second term -…

what is an arithmetic progression ? Give examples

By SK Math Expert November 6, 2021Abstract Algebra, Mathematics, Multivariable Calculus

Question : what is an arithmetic progression ? Solution : Arithmetic Progression (AP) : Arithmetic Progression (AP) is a sequence of numbers in order in which the difference of any…

how to Solve inequality 1-7x ≥ 9-5x

By SK Math Expert November 3, 2021Abstract Algebra, Mathematics, Multivariable Calculus

Question : Solve inequality 1-7x ≥ 9-5x. Solution We use to solve an inequality is same as an equation til the last step. 1-7x ≥ 9-5x We shall move -5x…

how to Solve inequality 1-3x ≥ 9-7x.

By SK Math Expert November 3, 2021Abstract Algebra, Mathematics, Multivariable Calculus

Question : Solve inequality 1-3x ≥ 9-7x. Solution We use to solve an inequality is same as an equation til the last step. 1-3x ≥ 9-7x We shall move -7x…

how do you solve inequality 52 +8x ≥ 4x +72

By SK Math Expert November 3, 2021Abstract Algebra, Mathematics, Multivariable Calculus

Question : Solve inequality 52 +8x ≥ 4x +72 . Solution We solve an inequality is same as an equation til the last step.52 +8x ≥ 4x +72 We shall…

What is power set? give examples

By SK Math Expert October 28, 2021Abstract Algebra, Mathematics, Multivariable Calculus

Question : What is power set? give examples Solution: Power set : Let S be a set then power set is the set of all subsets of of S. It…

How to Find 51^4 using binomial theorem

By SK Math Expert October 27, 2021Abstract Algebra, Multivariable Calculus

Question : Find 51^4 using binomial theorem SOLUTION: We shall 51^4 using binomial theorem as follows Thus we obtain 51^4 = 6765201.

how to find Laplace transform of e^-at

By SK Math Expert October 12, 2021Advanced Math, Laplace Transforms, Multivariable Calculus

Question : How to find Laplace transform of e^-at ? Using this find Laplace transform of (i) e^(-2t) (ii) e^(-4t) Solution : Laplace transform of a function f(t) is obtained…

Prove that 1 + 2 + · · · + n = n(n + 1)/2 for all integers n ≥ 1.

By SK Math Expert October 10, 2021Abstract Algebra, Advanced Math, Mathematics, Multivariable Calculus

Question: Prove that 1 + 2 + · · · + n = n(n + 1)/2 for all integers n ≥ 1. Proof: We shall prove by induction. Base case:…

Let n be an integer and not divisible by 3 then n^2 = 3k + 1 for some integer k.

By SK Math Expert October 10, 2021Abstract Algebra, Advanced Math, Mathematics, Multivariable Calculus, Number Theory

Question.: Let n be an integer and not divisible by 3 then n^2 = 3k + 1 for some integer k. Proof: If n is be an integer then n…