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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 · 04/11/2015

  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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