Trigonometry (possibly calculus) Function

Hi. As I understand, you need a Java function of x, computing y, for a path from lower left point 'a' to upper right point 'b'. 'a' and 'b' are joined by an S-curve from an arc to a tangent line to another arc. The arcs are specified by radius & slope at points a and b. I can deliver this function. f = new ArcsAndTangentHeights(x_a, y_a, r_a, s_a, x_b, y_b, r_b, s_b); for (double x = ...; ...; x += step) {   double y = [login to view URL](x);   ... } If f is created with values x_a=3,y_a=0, r_a=4, s_a=0.125, x_b=15,y_b=15, r_b=7, s_b=0.167 Then f(x) should produce y as below. Have I understood correctly? x y 1.5000 -0.18750 1.7500 -0.15625 2.0000 -0.12500 2.2500 -0.093750 2.5000 -0.062500 2.7500 -0.031250 3.0000 0.0000 3.2500 0.039318 3.5000 0.095133 3.7500 0.16817 4.0000 0.25945 4.2500 0.37036 4.5000 0.50278 4.7500 0.65930 5.0000 0.84353 5.2500 1.0607 5.5000 1.3190 5.7500 1.6319 6.0000 2.0257 6.2500 2.5594 6.5000 3.1571 6.7500 3.7548 7.0000 4.3526 7.2500 4.9503 7.5000 5.5481 7.7500 6.1458 8.0000 6.7436 8.2500 7.3413 8.5000 7.9391 8.7500 8.5368 9.0000 9.1346 9.2500 9.7323 9.5000 10.330 9.7500 10.924 10.000 11.433 10.250 11.858 10.500 12.224 10.750 12.546 11.000 12.833 11.250 13.092 11.500 13.325 11.750 13.537 12.000 13.731 12.250 13.906 12.500 14.067 12.750 14.213 13.000 14.345 13.250 14.465 13.500 14.573 13.750 14.670 14.000 14.756 14.250 14.832 14.500 14.898 14.750 14.954 15.000 15.000 15.250 15.042 15.500 15.084 15.750 15.125 16.000 15.167 16.250 15.209 16.500 15.251

Hey I am a PhD and propose to solve your problem in Matlab (I do not know Java) as follows 1) using circle equation get the coordinates in arc a 2) using circle equations get the coordinates in b 3) for coordinates in line, do linear interpolation. Thanks.

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Hi! I can help you with the project. First, we should find the equations of the two arcs and the line that touches the both arcs. Thereafter, we should script and compile the target function which returns Y in these three regions.

hello. I am a senior C language and jave programmer. I like mathematics and I have written a lot of code for mathematics. I checked your image and I can write the java code for this. I hope we discuss more details via private chatting. I will look forward to your response. Best regards.

Hello I read your job description carefully and I am confident to finish your job without fail. With full experience of R and Matlab at my former university, I can do some kind of statistical analysis and machine learning data processing projects. If you hire me, I will surely give you a perfect result and never fail clients. Expert in JAVA, C, C++ , C# , Python. Challenging project brings fame and pride to me. Thanks

Experienced with Java and Core Java. Can handle this, may require some iterations and deep dive but can be solved

You need to solve 3 equations system. There is old function - zeroin() which is good for this and similar cases.