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Q: If the tangent to the curve yx⅓ plus ax plus b at the point (2-6) is parallel to the line x-y plus 70find a and b.?
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How do you find the point of tangency?

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.


Why we draw tangent in newton raphson method?

A line tangent to a curve, at a point, is the closest linear approximation to how the curve is "behaving" near that point. The tangent line is used to estimate values of the curve, near that point.


How do you find the slope of an Indifference curve?

You find the tangent to the curve at the point of interest and then find the slope of the tangent.


What is a point of tangency?

It is the point at which a tangent touches a curve.


What is the definition of a tangent line?

A tangent is a line that just touches a curve at a single point and its gradient equals the rate of change of the curve at that point.


As a curve approaches a maximum point the slope will do what?

The slope of the tangent line at the maximum point of the curve is zero. So we say that as a curve point approaches to the maximum point, the slope of the tangent line at that point approaches to zero.


In maths what is a tangent and what is a chord?

Tangent:In geometry, the tangent line (or simply the tangent) is a curve at a given point and is the straight line that "just touches" the curve at that point. As it passes through the point where the tangent line and the curve meet the tangent line is "going in the same direction" as the curve, and in this sense it is the best straight-line approximation to the curve at that point.Chord:A chord of a curve is a geometric line segment whose endpoints both lie on the outside of the circle.


What is meant by tangent to a curve at a point?

It is a straight line that touches the curve such that the line is perpendicular to the radius of the curve at the point of contact.


How do you find the slope of a graph if it is a curve?

You find the slope of the tangent to the curve at the point of interest.


What t-word is define in geometry as a straight line that touches a curve but continues on with crossing it?

A tangent line touches a curve or the circumference of a circle at just one point.


How do you find the slope of the tangent line to each curve at the given point?

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).


Is a tangent a trigonometric ratio?

Tangent is used in calculus to compute the slope of a curve. Because curves do not have uniform slopes, unlike lines, their slopes change. A tangent is the slope of a curve at a specific point.