2. Write a program that implements the first order (linear) interpolations.. 3. Use the program to apply first order (linear) interpolation to the function f(x) = sin(x²) initially calculated in 10 uniform points in the interval [0.0, 5.0]. (1) 4. Write a program that implements n-point Lagrange interpolation. Treat n as an input parameter.

2. Write a program that implements the first order (linear) interpolations.. 3. Use the program to apply first order (linear) interpolation to the function f(x) = sin(x²) initially calculated in 10 uniform points in the interval [0.0, 5.0]. (1) 4. Write a program that implements n-point Lagrange interpolation. Treat n as an input parameter.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter5: Repetition Statements

Section5.5: A Closer Look: Loop Programming Techniques

Problem 12E: (Program) Write a program that tests the effectiveness of the rand() library function. Start by...

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2. Write a program that implements the first order (linear) interpolations. 3. Use the program to apply first order (linear) interpolation to the function f(x)=sin(x²) initially calculated in 10 uniform points in the interval [0.0, 5.0]. G
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In python, Problem Description:Sheldon and Leonard are physicists who are fixated on the BIG BANG theory. In order to exchange secret insights they have devised a code that encodes UPPERCASE words by shifting their letters forward. Shifting a letter by S positions means to go forward S letters in the alphabet. For example, shifting B by S = 3 positions gives E. However, sometimes this makes us go past Z, the last letter of the alphabet. Whenever this happens we wrap around, treating A as the letter that follows Z. For example, shifting Z by S = 2 positions gives B. Sheldon and Leonard’s code depends on a parameter K and also varies depending on the position of each letter in the word. For the letter at position P, they use the shift value of S = 3P + K. For example, here is how ZOOM is encoded when K = 3. The first letter Z has a shift valueof S = 3 × 1 + 3 = 6; it wraps around and becomes the letter F. The second letter, O, hasS = 3 × 2 + 3 = 9 and becomes X. The last two letters…