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1. ### Developing ODE from data?

... displacement from the equilibrium position is given by: F = -k*y, where y is the displacement, and k is the spring constant (a measure of...

2 Answers · Science & Mathematics · 06/08/2019

2. ### Prove that the square of an add integer is of the form 8k+1, where k is an integer.?

Let n be odd so n = 2h+1 where h is an integer then n^2 = 4h^2 + 4h + 1 = 4h(h+1) + 1 Of h and (h+1) one has to be even since they are consecutive integers; it follows that h(h+1) = 2k So n^2 = 8k+1

3 Answers · Science & Mathematics · 02/08/2019

3. ### help complete the square?

... vertex form of a parabola is written as y = a( x - h )² + k where ( h, k ) is the vertex of the graph. x² - 16y - 4x - 12 = 0 16y...

2 Answers · Science & Mathematics · 30/07/2019

4. ### What is the z transform of x(k+1) if z transform of x(k) is X(z)?

...notation is different (y, Y and n used rather than x and X and k respectively).

1 Answers · Science & Mathematics · 30/07/2019

5. ### Log Function Application?

(A) 20 = 200(1 - e^(-5k)) => 9/10 = e^(-5k) => ln(10/9) = 5k => k = 0.02107. (B) L = 200(1 - e^(-0.2107)) = 38. (C) 180 = 200(1 - e^(-0.02107 t)) => 1/10 = e^(-0.02107 t) => ln(10) = 0.02107 t => t = 109 minutes.

1 Answers · Science & Mathematics · 28/07/2019

6. ### Use the properties of geometric series to find the sum of the series?

The given series is ∑[k = 0,∞] 5(-2z). initial term = 5 common ratio = -2z If the series ...

3 Answers · Science & Mathematics · 27/07/2019

7. ### Thank you in advance! This is about computing for the mean of historical rate of returns in Investment.?

... all of the rates that you have, gives you some number k. This number is also equivalent to some other rate that is...

2 Answers · Science & Mathematics · 26/07/2019

8. ### How do I show that this sequence satisfies the given recurrence relation?

...notation as c(i) = the i-th term. You have things like c0 and b subscript k which might be part of your confusion. You want to show c(k) = 4c(k-1...

1 Answers · Science & Mathematics · 25/07/2019

9. ### Mathematics?

Really? With ones along the diagonal, you can just read off the solution: x1 = -5 x2 = 3 x3 = -3 x4 = 0

2 Answers · Science & Mathematics · 21/07/2019

10. ### Find the sum?

...sum of each row is 10 higher than the sum of the previous row (you add k on the left but and you drop k-10 on the right which is a difference of k - (k...

2 Answers · Science & Mathematics · 18/07/2019