1) Define a vector v which contains 51 identical value between -25 and 25. 2) Calculatex = v?. 3) Calculate the vector y which contains v3 but in inverse order. 4) Represent graphically x and y in function of t in the same figure. 5) Calculate the sum of all positive elements of y.
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- Using R software, create a function that returns the square root of a vector x. However, it uses a tryCatch statement so that if x has negative numbers, then it returns x as it is and issues a warning that x contains negative numbers. Otherwise, it returns the square root of xQuestion 2: Which statement(s) is/are true about vectors? a) A vector's size is static. b) A vector's size is always passed through a function c) Vectors can be returned by functions d) A vector can be passed by reference or by value e) To make sure a vector is not changed in a function, you must pass vectors as a constant reference f) Two vectors are equal (==) if they have equal length and their elements are identical pairs g) The assignment operator = will copy one vectors into anotherMatlab code::- Suppose we want to construct the squares and cubes of the elements of a vector. Create a function to achieve the desired objective. Compute squares and cubes of the following vectors using the above-created function: x₁ = [-12-3] X₂ = x². Plot.
- Vector Arithmetics M A function named arithGym requires an input variable h, and returns three outputs: (1) column vector u, column vector z. and scalar variable count. The input variable h is a column vector of random numbers with values between 100 and 100. The length of h is also randomly chosen between 30 and 60 elements. Perform the following operations. 1. Calculate u with the same length as h that has evenly spaced values ranging from the minimum value in h to the maximum value in h. 2. Each element of column vector z is equal to the square of the corresponding element in h divided by 2 times the corresponding element in u 3. Compute the scalar variable count that counts the number of instances an element in z has a value less than the value of the corresponding element in h. Make sure to assign the results to the output variables as indicated Solve this problem using only vectorized code with no loops or if statements. Note the variable h is defined as a function input. Do not…Q2) Write program to find multiplication of the vector (x) with vector(y) where: X=[X1 X2 X3 X4... Xa) X.Y=[x . yı+ x2. Y2+ X3. ya+ X4. y4 +..+ Xn. yn] Y=ly: y2 ys y4.. yn]Function: randOps Input: (1xN double) A Vector of numbers (N>=2 and even) Output: (double) A number Function Description: Given a 1XN vector where N>=2 and even, perform the following random operations in the following order and return the resulting number 1. Extract all even indexed values into a vector and multiply them by 3 2. Extract all odd indexed values into a vector and divide by 5 3. Subtract the results of Step 2 from the results of Step 1. 4. Calculate the product of all the values contained in the vector result of Step 3. 5. Calculate the value needed to get the number from Step 4 to the next highest integer. 6. Round your result from Step 5 to 5 decimal places Hint(s): ▪ prod(), ceil() and round() may be Examples: ans1 = randOps ([2 5 4 1 3 4 2 1]) >>ans1 = 0.9632 ans2 = randOps ([3 6 2 5]) >> ans2 = 0.9600 ans3 = randOps ([30 40 10 20 50 80]) >> ans3 = 0
- Using C++ Rotate a 3d vector by a quaternion. // 3D vector struct Vec3{ float x, y, z;}; // Struct holding 4 components of a Quaternion. Used to represent a planestruct Quaternion{ float x, y, z, w;};Write the following function #input: a numerical vector x #output:the normalized vector, i.e. the vector rescaled into [0,1] # the formula to normalize is (x-min(x))/ (max(x)-min(x)) # you can NOT use the functions min and max # you can use %%, nrow, ncol, and length # you can write multiple functions5) The input function can be used to enter a vector; for example, >> vec = input('Enter a vector: ') PAGE 9 OF 19 ENEL 2102 PROGRAMMING TOOLS FOR ELECTRICAL ENGINERING LAB. MANUAL Enter a vector: 4:7 vec = 45 6 7 Experiment with this, and find out how the user can enter a matrix.
- Q2) Write program to find multiplication of the vector (x) with vector(y) where: Y=ly₁ y2 y3 y4....... yn] X=[X1 X2 X3 X4....... Xn] X.Y=[x1.y₁ + x2. Y2+ X3. Y3+ x4. y4 +.......+ Xn. Yo]Question: (Related to R-language)-Looking answer to the below question. "Given a numeric vector x of arbitrary length, write code to create a vector y that contains the squares of the values of x (note: x and y will have the same length). Your solution should not involve more than a couple of lines of code" .x PROBLEM DESCRIPTION: The density of freshwater can be computed as a function of temperature with the following cubic equation: p = 5.5289x10-³T3 – 8.5016x10-6T² +6.5622x10-5Tc+0.99987 = Where p density (g/cm³) vs Tc = temperature (°C). Generate a vector of temperatures ranging from 32°F to 93.2°F using increments of 3.6°F. Convert this vector to degrees Celsius and then compute a vector of densities based on the cubic formula. Create a plot of p vs Tc using scilab 3:05 D