8.1 Imagine you have a table of data (x;, Y:) but you need to estimate values between thosespecific points. The data might be growth rates, chemical reaction rates, profits or even exper-imental data.Thus you require an approximate function y(x) at for x values in the range covered by the x;values provided. We can use an interpolation scheme to estimate values for y for intermediatevalues of x that are between values listed in the table.1.1 Given two points with co-ordinates (x1,y1) and (x2,y2), there is a unique straight lineconnecting them of the form y = m + c, where m is the gradient and c is a constant. Writedown expressions for the coefficients, m and c, in terms of the co-ordinates of the points. Thisis linear interpolation.1.2 Write a float function called interpolate that takes two pairs of float coordinates andan intermediate x value (a total of 5 float arguments: x1, yl, x2, y2 and x). The functionshould return a y value based on the straight line fit of the points. Incorporate your functioninto a file interp.cpp.Consider if your function needs to check the input values in any way and add any checkingyou consider necessary.1.3 Testing: Write a short main function in a file called testinterp.cpp to test yourfunction. Note that you will need a Makefile that is able to combine the two files interp.cppand testinterp.cpp to generate the test program: testinterp.Have your program print out (using cout) what your interpolate function returns. Runyour program for the following point and report the values:(x1,y1)=(1, 8.57), (x2,y2)=(2, 10.28) and an r value of 1.25.

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1.1 Given two points with co-ordinates (r1,y1) and (x2,y2), there is a unique straight line connecting them of the form y = mx + c, where m is the gradient and e is a constant. Write down expressions for the coefficients, m and c, in terms of the co-ordinates of the points. This is lingar internolation

1.1 Given two points with co-ordinates (r1,y1) and (x2,y2), there is a unique straight line connecting them of the form y = mx + c, where m is the gradient and e is a constant. Write down expressions for the coefficients, m and c, in terms of the co-ordinates of the points. This is lingar internolation

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
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