Problem 18
In Exercises 7-18, find and simplify the function values.
\(f(x, y)=3 x^{2}-2 y\)
(a) \(\frac{f(x+\Delta x, y)-f(x, y)}{\Delta x}\)
(b) \(\frac{f(x, y+\Delta y)-f(x, y)}{\Delta y}\)
Text Transcription:
f(x, y) = 3x^2 - 2y
f(x + Delta x, y) - f(x, y) / Delta x
f(x, y + Delta y) - f(x, y) / Delta y
Step-by-Step Solution:
Step 1 of 5) converges. To see this, we ignore the first three terms and compare the remaining terms with those of the convergent geometric series gqn =0(1>2n). The term 1>12n + 2n2 of the truncated sequence is less than the corresponding term 1>2n of the geometric series. We see that term by term we have the comparison
Step 2 of 2
