Python allows free creation of plots, unlike expensive, stagnant graphing calculators. Import NumPy and Matplotlib for basic ...

c\) is the number where the line crosses the \(y\)-axis. This is the \(y\)-intercept ... the second can be read from the graph. To find a \(y\)-coordinate from a given \(x\)-coordinate: On ...

Any straight line graph has a constant ... This means 5 = 6 + 𝑐. Solve to find the value of 𝑐. Subtract 6 from each side. This gives the 𝑦-intercept as 𝑐 = –1. Write the equation ...

Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...

The MRS is the slope of the indifference curve at any given point along the curve and displays a frontier of utility for each combination of "good X" and "good Y ... may find that the cake ...