Find A Possible Equation For A Linear Function With The Given Contour Diagram

This video shows you the steps to take to find the equation of a plane via its contour plot. Hx y 2 x 2y hx y 4 2x 2y hx y 4 x y hx y 4 2x y hx y 4 x y.

Solved Find A Possible Equation For A Linear Function Wit

Graphs of functions of two variables and contour diagrams.

Find a possible equation for a linear function with the given contour diagram. Xy 4 2 4 2. Find a possible equation for a linear function with the given contour diagram. A find a formula for the linear function whose graph is a plane passing through the point 43 2 with slope 5 in the x direction and slope 3 in the y direction.

In the previous section we introduced functions of two variables. The equation of the linear function is given by z z0 mx x0 ny y0. Find the equation of the linear function whose contour diagram is below.

B sketch a contour diagram for this function. Equation of a plane given 3. Textbook solutions expert qa.

I can obviously see that the gradient is 4 that the line passes through 00 and possibly 22 when z 3 and z9 respectively but beyond this nothing comes to me naturally. I have no idea how i am supposed to come up with a function given this information. Graphs of surfaces and contour diagrams 2 suppose the function h looks like this.

I have posted this up before but have not received any help. Finding the equation of a plane from its contour plot. Xy 4 1 2 2 for c4.

It is also possible to determine the equation of the linear function by examining the contour diagram. Find a possible equation for the linear function g xy shown in the graph. Thus the equation hxy 100 gives all the points where the function value is 100.

Find a possible equation for a linear function with the given contour diagram posted one year ago a find a formula for the linear function whose graph is a plane passing through point 4 3. Find a possible equation for a linear function with. Find a possible equation for a linear function with the given contour diagram.

Notice that when x 0 and y 0 we have that z 0. Z fxy if the 2 variable function whose contour diagrams we are talking about. We examined the differences between an equation graphed.

Then the contour diagram of the function h is a picture in the xyplane showing the contours or level curves connecting all the points at which h has the same value. This problem has been solved. Answer to find a possible equation for a linear function with the given contour diagram.

We presented those functions primarily as tables.

Contour Maps Article Khan Academy