A tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve.
The gradient (slope) of the curve at the midpoint at which the changes are calculated or the derivative of the curve at that point. These are only crude approximations unless the function is linear or if the changes are taken over very very small intervals. Equivalently, it is the slope of the tangent to the curve.
I think what you are asking is: "If I have a curve on a plane, how do I know if it is a function or not?". For regular Cartesian coordinates, where x is the independent variable and y is the dependent variable, you can use something called the "vertical line test". If you hold up a line parallel to the y-axis it will intersect the curve. Now if you can move it side to side and it never intersects the curve *more than once* then you have a function (of x). The reason is this: a function is a rule that associates every point in the domain to a single point in the range (also called the codomain). This means that if you are given any point in the domain and evaluate the function at that point you will get one value in the range (this does not need to be a unique value. You can have two different points in the domain taking on the same value in the range; think absolute value or sine curves). So, if we are using the vertical line test and it intersects the curve twice for a single value of x, we know that the curve cannot be a function, since there are two values in the range associated with one value in the domain. On the other hand, if the curve passes the vertical line test i.e. it only intersects the curve once at every point in the domain, then you have a function of x. You can use an analogous "horizontal line test" to see if something is a function of y.
Yes a tangent is a straight line thattouches a curve at only one point But there is a tangent ratio used in trigonometry
There are many units that cannot be used to express a volume.There is something missing from your question to request the only unit.
A tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve.
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A cone only has a single curve. It is a single-faced form with a point and no proper edges with a continuous curve.
By differentiating the answer and plugging in the x value along the curve, you are finding the exact slope of the curve at that point. In effect, this would be the slope of the tangent line, as a tangent line only intersects another at one point. To find the equation of a tangent line to a curve, use the point slope form (y-y1)=m(x-x1), m being the slope. Use the differential to find the slope and use the point on the curve to plug in for (x1, y1).
no they cant eat something else
tan A = (sin A) / (cos A) tan (A)= opposite side length/adjacent side length A is an angle measurement; amount of degrees or radians. If a line is tangent to a curve, it only touches the curve at one point. looks like )| but the line is touching the curve. In a circle, the tangent line touches the circle at one point and is perpinducular to the circle's radius if it is touching that same point.
Only once. A tangent line shares only one point with any single arc/curve.
Only if you are using it to describe something: a point-of-sale terminal.
The gradient (slope) of the curve at the midpoint at which the changes are calculated or the derivative of the curve at that point. These are only crude approximations unless the function is linear or if the changes are taken over very very small intervals. Equivalently, it is the slope of the tangent to the curve.
this curve is used a lot in gear design. This curve is used to get the gear tooth profile and when two gears of this profile mesh, the instantaneous contact point is only one and it moves along the curve profile. This property is known as line of action or line of Contact or pressure Line and this is why it is used extensively in gear design.
I think what you are asking is: "If I have a curve on a plane, how do I know if it is a function or not?". For regular Cartesian coordinates, where x is the independent variable and y is the dependent variable, you can use something called the "vertical line test". If you hold up a line parallel to the y-axis it will intersect the curve. Now if you can move it side to side and it never intersects the curve *more than once* then you have a function (of x). The reason is this: a function is a rule that associates every point in the domain to a single point in the range (also called the codomain). This means that if you are given any point in the domain and evaluate the function at that point you will get one value in the range (this does not need to be a unique value. You can have two different points in the domain taking on the same value in the range; think absolute value or sine curves). So, if we are using the vertical line test and it intersects the curve twice for a single value of x, we know that the curve cannot be a function, since there are two values in the range associated with one value in the domain. On the other hand, if the curve passes the vertical line test i.e. it only intersects the curve once at every point in the domain, then you have a function of x. You can use an analogous "horizontal line test" to see if something is a function of y.