Give a) an example of a valid instance of the summation problem that is not a valid instance of the minimum problem, and b) vice-versa. Write the problem definition for each of these problems.
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Give
a) an example of a valid instance of the summation problem that is not a valid instance of the minimum problem, and
b) vice-versa.
Write the problem definition for each of these problems.
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- Create a limit evaluation problem that requires substitution with an answer of 1. Please show the steps to solve the problem.6. Which of the following options are correct with reference to P-complete problems?a) used for the problems which are difficult to solve in limited spaceb) every problem in P can be reduced to it using proper reductionsc) complete problem for complexity class Pd) all of the mentionedApplication of DFA minimization: Choose a DFA minimation problem that is unique. Your DFA to minimize must have at least 5 states, cannot already be minimal, and cannot be a solved problem from any book. You should describe the DFA, the process to minimize it, and the minimized DFA.
- Use Derivationa and substitution to solve the following problemMy Solutions > My first FUNCTION problem Get started with: [STANDARD ASSESSMENT] This example uses a simple problem to demonstrate how to create a MATLAB coding problem where the student solution must be a function. Only the values returned by the function can be assessed in function problem types. This problem type can introduce confusion to students not yet comfortable writing their own functions, Step 1: Use this area to set up the problem and describe the task(s) the student solution will be assessed on. For example: Two commonly used scales for measuring temperature are Fahrenheit and Celsius. In this course we will often want to convert temperature in degrees Fahrenheit to degrees Celsius. Create a function called tempF2C that will accept as input a single temperature in degrees Fahrenheit and return the equivalent temperature in degrees Celsius. Recall that Fahrenheit and Celsius are related by the following equation: Tc (T-32)/1.8 Step 2: Select "Function" Problem Type below…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…
- C PROGRAMMING HELP NEEDED! So, I've made progress on my script, but I'm having trouble making the next step in my assignment work properly. So far my script can: 1) Be prompted to type in coefficients of the Linear Systems and Two InitialConditions.D2y+a1Dy+a2 = 0; and 2) Find the roots of the second order nontrivial solution.D2y+a1Dy+a2 = 0 => λ 2+a1 λ +a2 = 0 But I need it to do the following: Based on the roots λ1 and λ2 of the second order system, your script should decide: a) If roots (λ’s) are nonrepeating real , the response y(t) isy(t) = C1 e λ1t+C2e λ2t, for t≥0.Find C’s and display your y(t) on screen. b) If roots (λ’s) are repeating real (λ1 =λ2), the response y(t) isy(t) = (C1 +C2te)λt, for t≥0.Find C’s and display your y(t) on screen. c) If roots (λ’s) are complex conjugate (λ’s = α+jβ and α-jβ ), the response y(t) isy(t)=Cαtcos(βt+θ), for t≥0.Find C and θ and display your y(t) on screen. Please use conditionals. Also please use user-defined functions to compute C’s…Q1 Dan has a list of problems suitable for the assignment. The difficulties of these problems are stored in a list of integers a. The i-th problem’s difficulty is represented by a[i] (the higher the integer, the more difficult the problem). Dan is too busy eating saltines to worry about assignment decisions, so he asks Michael to select at least two problems from the list for the assignment. Since there are many possible subsets of the problems to consider and Michael has a life, he decides to consider only sublists (definition follows) of the list of problems. To make grading the assignment easier, Michael wants to pick problems that don’t vary too much in difficulty. What is the smallest difference between the difficulties of the most difficult selected problem and the least difficult selected problem he can achieve by selecting a sublist of length at least 2 of the original list of problems? Definition: A sublist of a list a is any list you can obtain by removing some (possibly 0)…COMPUTER PROBLEM-SOLVING IN ENGINEERING AND COMPUTER SCIENCE X 2 Y 8 In this exercise you will use least-squares curve fitting to develop two equations to model the data given. Using these equations, we will predict the function values for two inputs and evaluate the prediction made by each of the curves and linear interpolation. PART A PROBLEM-SOLVING EXERCISE #3 ESTIMATING AND PREDICTING UNKNOWNS 16 X linear 17 36 11 20 17 25 interpolation fit 20 28 linear parabolic fit 26 29 31 32 Using the 8 non-shaded values above, find ao and ai for the least squares linear regression. We will save the shaded values for our test data, that is, data points that are known but we will not include in the information used to make a representative curve. We will use these points to see how close our curve fit is to predicting actual values that were not used to derive the curve. Compute the overall squared-error. Write the completed polynomial. PART B Using the 8 non-shaded values from part A, find ao,…
- 3. Develop a user-defined MatLab function | Comptrapez (FunName, a,b) of integrating a function by using the composite trapezoidal method. FunName is a handle function that calculates the value of the function to be integrated, a and b are the limits of integration and I is the value of the integral. The function should calculate the value of the integral in iterations. In the first iteration the interval [a,b] is divided in two subintervals and in every iterations that follows the number of subintervals should be doubled. Stop the iterations when the difference in the value between two successive iterations is smaller than 1% 4. Repeat exactly the same process described in question 3 to write a user-defined Matlab function l=Simp38(FunName, a,b) using the composite Simpson's 3/8 method. The only MatLab build-in function you are allowed to use is: sum.3. Develop a user-defined MatLab function | Comptrapez (FunName, a,b) of integrating a function by using the composite trapezoidal method. FunName is a handle function that calculates the value of the function to be integrated, a and b are the limits of integration and I is the value of the integral. The function should calculate the value of the integral in iterations. In the first iteration the interval [a,b] is divided in two subintervals and in every iterations that follows the number of subintervals should be doubled. Stop the iterations when the difference in the value between two successive iterations is smaller than 1%. The only MatLab build-in function you are allowed to use is: sumGive a complete problem formulation for each of the following problems. Choose a formulation that is precise enough to be implemented. d. A container ship is in port, loaded high with containers. There 13 rows of containers, each 13 containers wide and 5 containers tall. You control a crane that can move to any location above the ship, pick up the container under it, and move it onto the dock. You want the ship unloaded.