(1 point) Match the following equations with their direction field. Clicking on

Question

(1 point) Match the following equations with their direction field. Clicking on each picture will give you an enlarged views. While you can probably solve this problem by guessing, it is useful to try to predict characteristics of the direction field and then match them to the pictureHere are some handy characteristics to start with -- you will develop more as you practice A. Set y equal to zero and look at how the derivative behaves along the z -axis. B. Do the same for the y-axis by setting a equal to 0 C. Conside er the curve in the plane defined by setting Y = 0 - this should correspond to the points in the picture where the slope is zero. D. Setting y equal to a constant other than zero gives the curve of points where the slope is that constant. These are called isocines, and can be used to construct the direction field picture by hand. 1. - ) (2r ty (2y) 2. = y+ 2 3. 2T -y 4. = 2 sin(1) +1+y 1 AM 11 I If I D

Explanation / Answer

Plot A corresponds to equation 2.

Plot B corresponds to equation 1.

Plot C corresponds to equation 4.

Plot D corresponds to equation 3.

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