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How is the Fibonacci sequence defined?
the sequence of numbers when the first 2 numerals are 0 then 1 followed by the addition of the past t2 numbers example-0,1,1,2,3,5,8,13 etc
How can you prove by using Kepler's Law that the linear velocity of a planet varies as the square root of the mean distance from the Sun?
It doesn't. It varies inversely as that square root.Here's how I did it:T = time for a planet's revolutionR = mean distance from the sunK = some konstant, any konstantV = planet's linear speedKepler's 3rd law: T2/R3 = K . . . . . T2 = K R3But T = orbital circumference/V , so (2 pi R/V)2 = K R3 , and (2 pi/V)2 = K RDivide ' 1 ' by each side:(V/2 pi)2 = 1/K R or V2 = 1/K R (new konstant)V = K sqrt( 1/R )qed
What is the answer to the math worksheet Did You Hear About?
t2 + 3t - 10
How do you work out triangular numbers?
The triangular numbers are 1, 3, 6, 10, 15, ... and are calculated as: t1 = 1 t2 = 1 + 2 t3 = 1 + 2 + 3 tn = 1 + 2 + ... + n The formula for the sum tn = 1 + 2 + ... + n is: tn = n(n+1)/2
What is the derivative of te(-t2)?
Use the product and chain rules: d/dt te^(-t²) = (d/dt t)e^(-t²) + t(d/dt e^(-t²)) = 1 × e^(-t²) + t × e^(-t²) × d/dt -t² = e^(-t²) (1 + t × -2t) = (1 - 2t²)e^(-t²)
