# How do I find the average rate of change of two points in a contour map?

Mathematics Asked on December 15, 2020

Been struggling with this problem. It seems like C is at (6,5) and A is at (2,4) so when I subtract them to find the (delta) or average rate of change I get $$frac{1}{4}$$. But it isn’t the right answer. What’s my problem here?

The distance between $$A$$ and $$C$$ is to be calculated by the Pythagoras theorem. The changein the value of the fiwld is to be read from the diagram to be $$phi_C - phi_A =-2a$$. The average rate of change is then $$Delta=frac{2a}{sqrt{4^2+1}} = afrac{2}{sqrt{17}}$$ $$a = -14 implies Delta = -14frac{2}{sqrt{17}} = -frac{28}{sqrt{17}}$$

Correct answer by Physor on December 15, 2020

## Related Questions

### Which functions are spherical derivatives?

1  Asked on December 22, 2020 by giuseppe-negro

### divergence of the cross product of two vectors proof

2  Asked on December 22, 2020 by mathematicing

### What is the difference between radical ideal and the radical of an ideal?

1  Asked on December 22, 2020

### How to understand the Galois *-action on a Dynkin diagram

1  Asked on December 22, 2020 by joshua-ruiter

### Shape Transformation Via Medial Axis Transform

0  Asked on December 22, 2020 by fweth

### Showing that $mathbb{C}[x,y]^{mu_n}$ and $mathbb{C}[x,y,z]/(xy-z^n)$ are isomorphic as rings

1  Asked on December 22, 2020

### How do I rotate 18 people into pairs so that each person gets to talk to every other person without any overlap

0  Asked on December 22, 2020 by jimk

### Is there a sequence of rational numbers $a_n$ such that $a_1 e^{-1} + a_2 e^{-2} + cdots = 1$?

1  Asked on December 22, 2020 by nilos

### Regarding Lemma 21.9 of Jech

1  Asked on December 22, 2020 by hanul-jeon

### Doppler effect mathematical modeling

0  Asked on December 21, 2020 by general-mo7

### Showing that a group $G$ such that 3 does not divide $|G|$ is Abelian.

1  Asked on December 21, 2020 by user778657

### Probability of getting a hand with at least 6 doubles in domino

0  Asked on December 21, 2020 by rolando-gonzlez

### Prove that the composition map is continuous with respect to the metric topology on $operatorname{Iso}(M)$

1  Asked on December 21, 2020 by abhigyan-saha

### Exactly Half of a 3D Transformation matrix

1  Asked on December 21, 2020 by sai-manoj-prakhya

### Range of quadratic function using discriminant

3  Asked on December 21, 2020 by mutse

### Why did we call a row operation “elementary”?

1  Asked on December 21, 2020 by neothehero

### Let 4 linearly dependent vectors such that any 3 of them is independence

1  Asked on December 20, 2020 by roach87

### A computation in the field of rational functions.

1  Asked on December 20, 2020 by jake-mirra

### Why we cannot extend real numbers with dedekind cuts?

1  Asked on December 20, 2020 by thisguy

### How do you find a point on a line bisecting an angle in three-dimensional space?

4  Asked on December 20, 2020 by user2561523