Exercise 5 Use limits to study if the sequences an = (-3) "-1 and bn they bounded? Exercise 6 = n-1 n+2 are convergent. Are Consider the sequence defined by the following general term: an = (−1)"+1 n 6 a) Define the first 10 terms of the sequence. b) Calculate the Partial Sums Sn = Σ ak for n = 1 to n = 10 using the sum function. k=1 c) Analyze whether the sequence a converges or diverges as n approaches infinity.
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- Pls Use Python Explain the Wronskian determinant test. Using the Wronskian determinant test, write the program using NumPy to determine whether the functions f(x)=e^(- 3x), g(x)=cos2x and h(x)=sin2x are linearly independent in the range (-∞, + ∞). Ps: Please also explain step by step with " # "7. If A has n elements and B has m elements(n, m ∈ N),find the number of functions from A to B.Solution in RUBY Prog
- Write T if the sentence is true and F if the sentence is false and correct the false sentence. Answer only 5 of the following The sin() function is a scalar function.Comparison with analytic solution The analytic solution for free-fall with ²-dependent air drag is: Yanalyt (t) = yo + Vanalyt (t) 2m DpA In [] # Analytic solution In cosh 2mg DpA (√² ;)] Dp Ag 2m t Dp Ag 2m tanh Exercise 2: Write code for the analytic velocity solution In the code cell below, we already implemented the equation for y_analyt. Add the equation for the velocity, storing the result in v_analyt. The hyperbolic tangent function is available as np. tanh. For the time t, use the vector time that we populated in the loop above. Note: If your code generates any error message (in red), you need to fix this error before continuing. Get help from your instructor or classmates if needed. You will need to use some parentheses () for the trigonometric and square root functions, and to enforce the order of operations. However, use them only where necessary; an excessive number of parentheses makes it harder to debug your code. y_analyt = y0 + 2*m/(D*rho*A) * np.log(np.cosh…solution should in the proper solution
- Q2) Simplify the following function for F using a K-map. F(A,B,C,D) = E m(0, 2, 8, 10, 12, 14)H.W2 Minimize the following function using K-Maps: F (A, B, C, D) = Σ m (1, 5, 6, 12, 13, 14) + d (2, 4).Q7. The big O bound for the following functions is T(n)= nlogn2+ nlogn OO (log(log n)) OO (nlogn) 00 (n² log n) 00 (n²)