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A line that has a different slope at each point is a slope or curve?
Any function that can't be drawn as a straight line will have a different slope at consecutive point. If it has to have a different slope at every point, the function constantly increasing or decreasing with a positive or negative concavity everywhere. Function of the form y=a^x and y=log(x) fit this description perfectly. Functions of the odd roots of x would also display similar behavior.
What is the formula for slope of a perpendicular line?
if line's A and B are perpendicular to each other, the slope of A = -1/(the slope of B)
What is the slope of a curve line?
The slope of a curved line changes as you go along the curve and so you may have a different slope at each point. Any any particular point, the slope of the curve is the slope of the straight line which is tangent to the curve at that point. If you know differential calculus, the slope of a curved line at a point is the value of the first derivative of the equation of the curve at that point. (Actually, even if you don't know differential calculus, the slope is still the value of the function's first derivative at that point.)
Do perpendicular lines have the same exact slope?
No, parallel lines have exactly same slope Perpendicular line have a slope that is negative reciprocal of each other that is if m = slope of line then slope of perpendicular line is -1/m
What is slope and why is the letter m used to represent slope in formulas?
The slope of a graph is a measure of the rate at which it rises. It is measured as the "rise"/"run" which is the ratio of the increase in height for each unit move in the horizontal direction. The slope of a line going from bottom left to top right is positive. "M" stood for the Modulus of slope.
How is constant speed represented on a distance time motion graph?
On a distance-time graph, a constant speed is represented by a straight, diagonal line with a constant slope. This slope indicates that the object is covering the same distance for each unit of time, meaning its speed is consistent throughout the motion.
A line that has a different slope at each point is a slope or curve?
Any function that can't be drawn as a straight line will have a different slope at consecutive point. If it has to have a different slope at every point, the function constantly increasing or decreasing with a positive or negative concavity everywhere. Function of the form y=a^x and y=log(x) fit this description perfectly. Functions of the odd roots of x would also display similar behavior.
What is the relationship among proportional relationships lines rates of change and slope?
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
What are the 3 main characteristics of a function?
Each input has only one output. The same input will always produce the same output. The function can be represented by an equation or a graph.
What is the slope of the line given y equals 2 over 17x?
The function y = 2/17x has a slope = -2/17x2 so that for each value of x (other than zero) it has a different slope. Near x = zero its slope approaches + or - infinity, while for large x it approaches zero.
How are functions equation slopes and graphs related?
There are some relationships but not all relationships are always true. Any function can be represented by an equation. But all equations are not functions. For example, y = sqrt(x) is the equation of the square root relationship which can be graphed as a parabola on its side, but it is not a function. It has slopes at each point. Some functions can be plotted as graphs but not all. A function such as f(x) = 1 when x is rational, and f(x) = 0 when x is irrational has no slope and cannot be plotted as a graph. A graph of a vertical line is not a function.
What is the formula for slope of a perpendicular line?
if line's A and B are perpendicular to each other, the slope of A = -1/(the slope of B)
What is the slope of a curve line?
The slope of a curved line changes as you go along the curve and so you may have a different slope at each point. Any any particular point, the slope of the curve is the slope of the straight line which is tangent to the curve at that point. If you know differential calculus, the slope of a curved line at a point is the value of the first derivative of the equation of the curve at that point. (Actually, even if you don't know differential calculus, the slope is still the value of the function's first derivative at that point.)
How is each element represented in periodic table?
Each element is represented by a one or two-letter symbol.
How is each element in the periodic table represented?
Each element is represented by a one or two-letter symbol.
Is 5-y equals 3x a function?
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What is the difference between differentiation and integration?
Differentiation involves determination of the slope, i.e. the derivative, of a function. The slope of a function at a point is a straight line that is tangent to that function at that point, and is the line defined by the limit of two points on the original curve, one of those two points being the point in question, as their distance between each other becomes zero. There are several things you can do with derivatives, not the least of which is aid in plotting functions and finding various minima and maxima. Integration involves determination of the inverse-slope, i.e. the integral, of a function. The integral of a function is another function whose derivative is the first function. There are several things you can do with integrals, not the least of which is finding the area or volume under or in a curve or shape.
