It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).

More to the point: Slope fields are used to visualize solutions to differential equations of the form

y' = f(x, y)

You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).

Sample several points and evaluate y' at those points and you get several different slopes.

Simple example:

y' = x ² - y ² = (x + y ) (x - y )

Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes

y' = f (1, 1) = 0

y' = f (-1, 0) = 1

y' = f (2, -2) = 0

From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.

If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.

3 0

3 years ago

If total revenue is 3000, cost of goods 1500, and total selling expense is 500; what is the profit for the business

Mrrafil [7]

. If total Revenue is $3000, Cost of Goods is $1500, and total Selling Expense is $500 Question: what is the Profit for the business= The total revenue is 3 000 dollars The expenses =1 500 dollars for gold's costs= 500 dollars for selling expenses.Now, let's add the expenses and subtract it to the total earnings= 1 500 dollars + 500 dollars = 2 000 dollars
Now, let's subtract=3 000 dollars - 2 000 dollars = 1 000 dollars Thus, his profit is 1 000 dollars

5 0

4 years ago

Read 2 more answers

Which of the following represents 4x^5/6 in radical form

mash [69]

Remember, order of operations
exponent before multiply

so 4x^5/6=4 times x^5/6
simplify the x^5/6 first

remember
$x^\frac{m}{n}=\sqrt[n]{s^m}$

so
$x^\frac{5}{6}=\sqrt[6]{x^5}$

so
$4x^\frac{5}{6}=4\sqrt[6]{x^5}$

6 0

4 years ago