Q3 Let U = {5, 6 }, write an equivalent to the following assertions: 3x P ( x ) v - Vx Q ( x )
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![Q3 Let U = { 5
6 }, write an equivalent to the following
%3D
assertions:
3x P ( x ) v ¬ Vx Q ( x )](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f4de7aa-c253-4e88-9f71-94ad71adbdf2%2F6642dacf-d100-4c53-b007-c9760d5ce8fd%2Fio2v7tc_processed.jpeg&w=3840&q=75)
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- Solve at one::-.]: Write a piece of code that calculates the uncertainty SP from the error propagation rule for sums, SP = 2√√√(SL)² + (SW)² A few hints: Again, you're translating the above equation into code. • Your result should be stored in a variable uncertainty_P_errorprop • For the square root function, use np. sqrt() • For squares, use ** #YOUR CODE HERE raise Not ImplementedError() ]: ▼ # Print the uncertainty print ("uncertainty of circumference P from error propagation: 11 , uncertainty_P_errorprop)def fquartic(x): return (x**4-1) Find the roots There are two real roots of this function. Even though you may immediately see what those roots are, use scipy.optimize.root_scalar to find those roots one by one: Use the default method (i.e. don't specify a specific method for root finding) Specify appropriate x0 and x1 values for each one of the roots (don't pick them right on top of the roots, but pick them close) Make sure that the converged attribute of your solutions are both True.
- i. Assume P(x,y) is (x+y>4). Write a function/method that can validate the nested quantifier xvy P(x, y) for elements from two arrays X and Y. hint: The method returns I if statement is valid (the sum of all pairs of values from X and Y is greater than 4), and returns 0 otherwise. Valid case: For arrays X=(2,3,4) and Y=(3,4,5), the method returns 1(since xEX and vyjEY, x₁+₁>4) Invalid case: For arrays X=(2,3,4} and Y=(1,4,5), the method returns 0 (since 2 EX and 1 EY but 2+1<4) ii. Modify your code to validate nested quantifier x3yP(x, y) when P(x,y) is (x+y=9) hint: Valid case: For X=(2,3,4} and Y={1,4,5) method returns 1 (since 4 EX and 5 EY and 4+5=9) Invalid case: For X=(2,3,4} and Y={1,4,4} method returns 0 (since none of the pairs of values from X and Y adds up to 9)When you use a mortgage to purchase a home, the lending institution effectively owns the home. You buy back part ownership in the home with each monthly payment. The part you have bought back is your equity in the home. If the mortgage amount is P dollars, the monthly interest rate is r as a decimal, and the term of the mortgage is t months, then your equity after k payments is E(k) = P((1 + r)k − 1) (1 + r)t − 1 dollars. In this exercise, assume that the mortgage amount is $200,000, the APR is 6% so r = .06/12 and the term of the loan is 30 years (360 months). (a) Find a formula for the equity. (b) Make a graph of the equity over 360 months, the term of the loan. (c) Does the graph show that you have half-ownership in the home halfway through the term of the mortgage? Halfway through the term of the mortgage corresponds to k1 = _______ payments. From the graph, we see that E(k1) is ________ half of the mortgage amount, so we _______ have half-ownership in the home…IN PYTHON: import numpy as npimport numpy.linalg as la def smallest_eig(A):"""Given a positive definite symmetric matrix A,calculates the smallest eigenvalue of A andthe corresponding eigevector by using the inverseiteration. You are not allowed to use numpy.linalg functionsfor calculating the eigenvalues. However, you can usenumpy linalg functions for solving linear equations andfor calculating norms. Output: a tuple (lam, x), where lam is the smallesteigenvalue and x is the corresponding eigenvector """n = A.shape[0]lam = 0x = np.random.randn(n)passreturn (lam, x)
- Please use java programming and add comment on each line Thank you!Given the following... int j; int sum; double sale[10][7]; Which of the following correctly finds the sum of the elements of the fifth row of sale? 03; 0; j < 7; j++) sum + sale[5] a. sum = %3D for (j %3D sum [j]; b. sum = 0; %3D 0; j < 7; j++) sum + sale[4] for (j sum [j]; = 0; 0; j< 10; j++) sum + sale[5] C. sum for (j sumWrite a method that sums all the numbers in the major diagonal in an nxn matrix of double values using the following header: public static double sumMajorDiagonal(double[][] m) Write a test program that first prompts the user to enter the dimension n of an nxn matrix, then asks them to enter the matrix row by row (with the elements separated by spaces). The program should then print out the sum of the major diagonal of the matrix. Write a method that sums all the numbers in the major diagonal in an nxn matrix of double values using the following header: public static double sumMajorDiagonal(double[][] m) Write a test program that first prompts the user to enter the dimensionn of an n xn matrix, then asks them to enter the matrix row by row (with the elements separated by spaces). The program should then print out the sum of the major diagonal of the matrix. SAMPLE RUN #1: java SumMajorDiagonal Standard Output Hide invisibles Enter - dimension n-of nxn-matrix:Enter-row-0:…
- Must be written in the coral language. Complete the PrintArray function to iterate over each element in dataValues. Each iteration should put the element to output. Then, put "*" to output. Ex: If dataValue's elements are 2 4 7, then output is: 2*4*7*java note: matrices refers to 2D arraysjava code matrices refers to 2D arrays note: it should work in any Nx2 matrice. N can be any number not just 2 i tried to do it but it only works with 2x2 or 1x2 matrices i need output proof that it can work in 3x2 and 4x2 matrices or any Nx2 matrice
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