The folowing is a reworded question from very last night . A printed solution of a length of curve function, f(y) = x3 - 1/4x3, I was studying was solved to a point by finding the derivative of the function, square the result, and then it followed its own instruction "simplify the integrand" and gave [ 1 + (x6 - 1/2 + 1/16x6) dx ]1/2 . It was very early in the morning and I did not recognize the source for the middle term (- 1/2) which had some unstated algebraic process. Would you please give me a step-wise understanding of this algebraic process? I do not need the rest of the solution nor its answer.
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
The folowing is a reworded question from very last night . A printed solution of a length of curve function, f(y) = x3 - 1/4x3, I was studying was solved to a point by finding the derivative of the function, square the result, and then it followed its own instruction "simplify the integrand" and gave [ 1 + (x6 - 1/2 + 1/16x6) dx ]1/2 . It was very early in the morning and I did not recognize the source for the middle term (- 1/2) which had some unstated algebraic process.
Would you please give me a step-wise understanding of this algebraic process? I do not need the rest of the solution nor its answer.
To find the correct integrand to evaluate the length
Step by step
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