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1. ### Can anyone use mathematical induction to prove  1^2 + 4^2 + 7^2 +...+ (3n-2)^2 = 1/2n(6n^2-3n-1) without factorizing a cubic?

... - 3n - 1) P(1): 1² = 1/2(1)[6(1)² - 3(1) - 1] LHS = 1 RHS = 1 Proposition P(1) is confirmed...

3 Answers · Science & Mathematics · 20/01/2021

2. ### how do you solve (x^2) / (2.3-x)?

... as x² = (2.3 - x)*1.19 * 10 ^-7. Then put all on the LHS . Then expand. Notice now that you have a quadratic of the form ...

3 Answers · Science & Mathematics · 17/01/2021

3. ### Trig Identity Help?

RHS = 2tan(2x)sin²(x) = tan(2x){1 - [1 - 2sin²(x)]} = tan(2x)[1 - cos(2x)] = tan(2x) - tan(2x)cos(2x) = tan(2x) - sin(2x) = LHS

2 Answers · Science & Mathematics · 15/01/2021

...3 terms to evaluate: (3-6)x + (4-6)x + (5-6)x = 72. Simply the LHS . What does it give? [ = -6x ] Then, solving for x ...

2 Answers · Science & Mathematics · 11/11/2020

5. ### Calculus question?

Yep, ordinary algebra.  Divide both sides by the same value and the equation remains balanced.  The LHS still = the RHS.  So divide away and enjoy.

3 Answers · Science & Mathematics · 19/08/2020

6. ### Can anyone verify the identity? cot^4(x)csc(x)=cot^2(x)(csc^3(x)-csc(x))?

RHS = cot²(x)[csc³(x) - csc(x)] = cot²(x)csc(x)[csc²(x) - 1] = cot²(x)csc(x)cot²(x) = cot⁴(x)csc(x) = LHS

1 Answers · Science & Mathematics · 09/05/2020

7. ### Differential Equations Problem?

... + Fr = mh''.  Use the correct signs for the LHS terms. Fg is a constant [which one?]. Note that h'...

1 Answers · Science & Mathematics · 28/02/2020

8. ### (Boolean Algebra) Prove that xy + xy = (x+y)(x+y )?

LHS = xy + xy' = x(y + y') ..........distributive law = x(1) = x RHS = (x+y)(x+y' ) = x+(yy') ...........distributive law = x+(0) .............complement law = x LHS = RHS

1 Answers · Science & Mathematics · 03/08/2019

9. ### Rational Plus Irrational?

...x = c/d Then x = (c/d) - (a/b) RHS is clearly rational while LHS is irrational. This is a contradiction. Hence the sum must...

4 Answers · Science & Mathematics · 03/08/2019

10. ### How to solve this differential eq problem?

... the given P(t) and showing that it equals the LHS . Or you can find the solution by solving the DE this way: ...

1 Answers · Science & Mathematics · 14/02/2019