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  1. This set spans P₃( R ) if an arbitrary vector in P₃( R ) can be ...p, there are coefficients b, c, d ∈ R such that b(1 + 2x - 4x³) + c(2 - x + x²...

    1 Answers · Science & Mathematics · 03/11/2015

  2. 8^ r = 16^2 (2^3)^ r = (2^4)^2 2^(3r) = 2^8 3r = 8 r = 8/3 Note that you ...rational numbers. Here's how you would do it in general. 8^ r = 16^2 = 256 ln(8^ r ) = ln(256) r *ln(8) = ln(256) r = ln(256)/ln(8...

    2 Answers · Science & Mathematics · 31/10/2007

  3. r /15 - r /35 = 1/15 multiply equation by 15 r - 15r/35 = 1 r - 3r/7 = 1 multiply equation by 7 7r - 3r = 7 4r = 7 r = 7/4 hope this helps keep practicing! good luck

    2 Answers · Science & Mathematics · 27/02/2011

  4. " R to R " or " R -> R " (as I prefer it ... refers to the integers, so when we state "Z to R " (or "Z -> R ") we mean that the domain is the set...

    2 Answers · Science & Mathematics · 07/07/2009

  5. r = 5 sin 4θ dr/dθ = 5 cos 4θ (4) = 20 cos 4θ dy/dx = (dr/dθ sin θ + r cos θ) / (dr/dθ cps θ + r sin θ) dy/dx = ( (20...25√3 /4 -35/4 = (-25√3-35) / 4 When θ=π/3, r = 5 sin 4π/3 = -5√3/2 x= r cos θ = (-5√3/2)( 1/2...

    1 Answers · Science & Mathematics · 20/02/2013

  6. R (sin x, cos x) essentially means that you have a ratio of polynomials... of sine and cosine. [More explicitly, the rational function is R (u, v) = v/(u + uv). So, R (sin x, cos x) = cos x/(sin x + sin x cos...

    1 Answers · Science & Mathematics · 01/04/2012

  7. Unfortunately, the notation B( r ,a) has no standard meaning (even in the context... sort of a "standard" choice of a metric in R ^2, this choice is by no means the *only* choice...

    1 Answers · Science & Mathematics · 29/05/2013

  8. r ^(-8) = 7/352 r ^8 = 352/7 r = (352/7)^(1/8) r = (50.28571)^(1/8) r = 1.631851

    4 Answers · Science & Mathematics · 22/01/2014

  9. ∫(( r )/(2^( r ^2)) dr Let u= r ^2 du = 2rdr The integral simplifies to ∫1/(2^u...ln2))] + c But u = r ^2 Integral = -[1/(ln(2)]e^(-( r ^2)(ln2))] + c = -[1/ln(2)][1/2^( r ^2)] + c = -1/[(2^( r ^2))* ln(2...

    1 Answers · Science & Mathematics · 09/06/2007

  10. first we assume that r , r ' are in A+B. then we check if r - r ' is also... an additive subgroup of R . from our initial assumption, we may write r = a+b, for some a in A, b in B, and likewise r ' = a'+b'...

    1 Answers · Science & Mathematics · 18/04/2012

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