A rubber ball falls from an initial height of 10m; whenever it hits the ground, it bounces up two-thirds of the previous height. What is the total distance covered by the ball before it comes to rest?
Show that the infinite decimal 0.9999 • • • is equal to 1. How Can 0.999… = 1? | The Decimal 0.999… is Equivalent to 1
Show that the harmonic series Σ1/n=1+1/2+1/3+1/4+1/5+… diverges. 1/n diverges proof | harmonic series sum solved problems in calculus
Does the series ∑ n/(2n+1) From n=1 to ∞ converge or diverge ? test the convergence of series ∑ n /(2n+1) From n=1 to ∞ | solved problems on convergence and divergence convergence of series question and answer
Find the real and imaginary parts of log(a+ib)/(a-ib) | Prove that log(a+ib)/(a-ib)=2itan^-1b/a | find the real and imaginary parts of the complex number loga+ib/a-ib
State the expansions of sinθ and cosθ in ascending powers of θ | What is the expansion of sinθ and cosθ ? |
test the convergence of series 1 + 2^p/2! + 3^p/3! + 4^p/4! solved problems on convergence and divergence
easy example of convergent series | convergent series example | best example of convergent series | convergent series examples list
Discuss the nature of the series 1/1.2 +1/2.3 + 1/3.4 + 1/4.5 … Or Discuss the Convergency of the series 1/1.2 +1/2.3 + 1/3.4 + 1/4.5 … Or test the Convergence of the series 1/1.2 +1/2.3 + 1/3.4 + 1/4.5 …
Write the equation for a progressive wave moving along positive X-axis with the following characteristics (i) a = 0.3 m; T = 2 sec., λ = 1m (ii) a = 2 x 10-3 m; n = 540 Hz, v = 380 m/sec
