Find and sketch the level curves f(x,y) = c on the same set...

Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values of c. Refer to these level curves as a contour map. z = 2x - 2y; c = -2, -1, 0, 1, 2 Choose the correct graph below.

Transcript

00:01 In this question we need to find and sketch the label curves given by f of xy is equals to c on the same set of coordinate axis for different values of c.

00:12 We also have z is equal to 2x minus 2y and the following value of c we need to use minus 2 minus 1, 0, 1 and 2 to graph the contours.

00:24 Okay, so first of all f of xy equals to c.

00:28 So i will say.

00:30 Set c is equal to f of xy that means 2x minus 2y is equals to f of xy which is c okay so i will write the different cases here for c equals to minus 2 what i'm going to get i will get 2x minus 2y is equals to minus 2 so from this this can be written as x divided with i will divide through with minus 2.

01:06 Okay.

01:10 So this can be written as minus 2 over 2, minus 2 over 2 minus.

01:18 This can be written as minus 2 over minus 2.

01:24 I will write here plus and this is equal to 1.

01:27 I'm trying to get into the slope intercept form.

01:30 Sorry, the intercept form.

01:31 So this is x over minus 1 plus y over 1 equals to 1.

01:36 Okay so this is what i will get now so i can draw the plot for this this is our x axis this is y axis so x is negative y is positive so this will be the curve here okay then i consider the another case for c equals to minus one i get 2x minus 2y equals to minus 1 so this can be written as x minus y equals equals to minus 1 over 2.

02:10 I will divide with this x over minus 1 over 2 plus y over 1 over 2 equals to 1...

Question

Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values of c. Refer to these level curves as a contour map. z = 2x - 2y; c = -2, -1, 0, 1, 2 Choose the correct graph below.

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