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What is the smallest slope on the curve?
The smallest slope of a curve means the point at which the derivative (the slope) is minimal. So find the derivative first, then find the minimum value of this function. That means finding another derivative and setting it equal to zero to solve for x. Example with the curve y = x^3 - x^2 : The slope at any given point is given by the derivative, which is 3x^2 - 2x. To find the minimum value of this function, compute its derivative (which is 6x - 2) and set it equal to zero. Solve 6x - 2 = 0 for x and you'll find the answer. It's x = 1/3. This is the point at which the smallest slope occurs. The smallest slope ITSELF is the value of the first derivative at x = 1/3, so plug x = 1/3 into 3x^2 - 2x and you get -1/3. This method could also have found the LARGEST slope of the initial curve. So you have to make sure by computing the slope at another point (any other point). Take x = 0. There the slope is 0, which is bigger than -1/3. So the -1/3 value is indeed the SMALLEST slope.
Explain the concept of ridge lines in economics?
Ridge lines is a concept in Micro Economics related to Isoquants (which shows different combination of inputs for the same level of output). However, after a certain point Isoquant begins to slope upward, if there are 2 or more isoquants then there would be similar points on the other isoquants too... on joining these points, you get the ridge lines. Note: the point from where Isoquant slopes upward is a point where the marginal product of one of the input is negative.
What determines the slope of IS Curve?
mainly the slope of Is curve depends on ; -the slope of investment schedule -the size of the multiplier
A horizontal line has an undefined slope?
No, the slope of a horizontal line is 0. The slope of a vertical line is undefined.
Why does Investment Savings Curve slope downward?
due to negative slope
What is the slope of a line parallel to a line with slope -2?
For two lines to be parallel they must have the same slope. A line parallel to a line with slope -2 would have a slope of -2.
If the slope of a line is -2 What is the slope parallel to it?
-2. Slopes of parallel lines are the same. If the lines are different it is the intercedpt that is different.
What is the slope of a line parallel to a line whose slope is 2?
2. Parallel lines have the same slope.
Which of these lines has a slope of 2?
AB
For perpendicular lines if the slope of one line is -2 what is the slope of the line perpendicular to it?
For any two perpendicular lines (save a vertical and a horizontal one), the product of their slopes is always -1. For two perpendicular lines with one having a slope of -2, the other will have a slope equal to -1 divided by -2, which equals 1/2.
What are 2 lines that do not intersectand have the same slope?
Parallel
What are Lines having no slope?
Lines with no slope are horizontal lines or flat lines
The lines graphed below are perpendicular The slope of the red line is -2 What is the slope of the green line?
1/2
The lines shown below are parallel. If the green line has a slope of -2, what is the slope of the red line?
-2 (APEX)
What type of slope does perpendicular lines have?
Th opposite reciprocal. So if one line has a slope of 2 then the other line will have a slope of -1/2
What is the slope of a parallel line?
Parallel lines have the same slope. So if you have a line with slope = 2, for example, and another line is parallel to the first line, it will also have slope = 2.
The lines shown below are parallel. If the green line has a slope of -2 what is the slope of the red line?
1/4
