When 118 is divided by 11, what is the quotient and the remainder
1 answer:
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The function has been translated down 3 units and right 2 units. The equation of the graphed function is
.. y = -3 +4^(x -2)
.. y = -3 +4^(x -2)
Answer:
Step-by-step explanation:
In this system we have the force of the spring and the gravitational force. The equation that describes that is
where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have
the solution for this differential equation is (by using the characterisic polynomial)
hope this helps!!
From the given recurrence, it follows that
and so on down to the first term,
(Notice how the exponent on the 2 and the subscript of <em>a</em> in the first term add up to <em>n</em> + 1.)
Denote the remaining sum by <em>S</em> ; then
Multiply both sides by 2 :
Subtract 2<em>S</em> from <em>S</em> to get
So, we end up with