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1. ### 4ln(x)−ln(x^2)=1 solve for x?

...go sweetheart :) 4ln(x) - ln(x²) = 1 Apply the log laws on the LHS : ln(x^4) - ln(x²) = 1 ln(x²) = 1 Now take the exponential on...

2 Answers · Science & Mathematics · 29/09/2017

2. ### Proof of vector identity: v ⋅ ∇ v = (1/2) ∇ (v ⋅ v) - [v x [∇ x v]]?

...to show that the x components are the same on both sides LHS = (v₁∂/∂x+v₂∂/∂y+v₃∂/∂z)(v₁,v₂...

3 Answers · Science & Mathematics · 16/09/2017

3. ### Why is Algebra so hard?

...now, collect like terms) = (a + b)x + (2a + b). So, since the 1 on the LHS has no x coefficient, 1 = 2a + b & 0 = a + b. So b= -a, so a = 1...

2 Answers · Science & Mathematics · 13/09/2017

4. ### Prove that (x+y)/2 ≥√xy for any real non-negative numbers x and y. Show that equality happens if and only if x = y.?

.... What happens when x = y ?????? Substitute y = x : LHS = x + x = 2x RHS = 2√(x*x) = 2√(x²) = 2x Since LHS...

2 Answers · Science & Mathematics · 10/09/2017

5. ### How to show that arctan(1/2) + arctan(2/5) +arctan(8/9) = pi/2?

LHS= tan-¹ (1/2) + tan-¹(2/5) + tan-¹(8/9) =[ tan-¹ (1...

2 Answers · Science & Mathematics · 04/09/2017

6. ### #ONLY FOR MATH EXPERT?

(1) I assume θ = x LHS =sec 2x - tan2x =(1/cos2x) - (sin 2x / cos2x) = (1-sin2x)/cos2x = (sin²x + ...sinx - cosx)²=(cosx - sinx)² •(1 + sin2x) = (sinx + cosx)² (2) LHS =( 1+sin 2x-cos 2x)/(1+sin 2x+cos 2x) = [1 + sin2x -(1 - 2sin²x)]/[ 1+sin2x...

1 Answers · Science & Mathematics · 25/09/2017

7. ### How to prove?LHS equal to.RHS?

if that means : left hand side and right hand side, you'll have to be more specific as there are many ways to do so, depending on the situation.

4 Answers · Science & Mathematics · 27/08/2017

8. ### If a > 0, b > 0, c > 0, prove that (a² + 2)(b² + 2)(c² + 2) ≥ 9(ab + bc + ca).?

... − 27v ≥ 0 or 8+36u²+18v²−12uw+w²−51v ≥ 0 LHS can be expressed as a sum of positive terms where each component ...

3 Answers · Science & Mathematics · 23/08/2017

9. ### Verify the identity. (cos(u) sec(u) ) / tan(u) = cot(u)?

... thing I do is replace all the trig functions on the LHS with their sine or cosine equivalents: LHS = (cos(u) sec(u...

5 Answers · Science & Mathematics · 07/08/2017

10. ### Help me verify the identities?

...the given symbols or do it from the very bottom & let x be in the LHS & show using case work that it will always exist in the RHS, therefore...

1 Answers · Education & Reference · 11/07/2017