y = ab^2+bx+c at point (1,2)
y' = x
since y' is also known as the slope, write the equation of point (1,2) at slope = X
y- 2 = x (x-1)
y= x^2-x+2
a=1
b=-1
c=2
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.
In the context of Descartes' work, a tangent to a curve is a straight line that touches the curve at a single point without crossing it at that point. This concept is fundamental in understanding how curves behave locally, as the tangent line represents the instantaneous direction of the curve at that point. Descartes used geometric methods to explore tangents, which laid the groundwork for later developments in calculus and the study of derivatives.
The slope of any line is rise/run, or change in y divided by change in x. On a distance-time curve, time is the variable on the x axis, and distance is the variable on the y axis. This means that when a tangent is drawn at any point on the curve, its slope becomes change in distance divided by change in time, for example, m/s, km/h, etc. These units align with the units for velocity, and therefore the slope of the tangent line on a distance-time curve is the velocity.
When banking a curve, a driver should avoid braking hard as it can destabilize the vehicle and lead to loss of traction. Instead, it's advisable to slow down before entering the curve, using gentle braking if necessary, and then maintain a steady speed through the turn. This helps ensure better control and stability while navigating the curve. Proper technique also allows the driver to utilize the banking of the curve effectively to maintain speed.
curve is an action verb
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.
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.
You find the tangent to the curve at the point of interest and then find the slope of the tangent.
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.
A tangent is a line which touches, but does not cross, a curved line.
3 f'(1) is the slope of the tangent line of the curve at x=1. Because the tangent line at x=1 goes through (1,7) and (-2,-2), its slope is (7-(-2))/(1-(-2))=9/3=3. So f'(1)=3.
Tangent to the curve.
A tangent line touches a curve or the circumference of a circle at just one point.
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.
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.
The tangent to the curve y = 2x2 - 3x + 2 at x=3 first we differentiate the eqution and get dy/dx = 4x -3 feed in the x=3 dy/dx = 9 So we now know that the gradient of the tangent is 9 We can also find out one of the points that is passes through. y = 2x2 - 3x + 2 when x = 3 y = 2*32 - 3*3 + 2 y = 29 So we have a line of gradient 9 that passes through the pint (3,29) We can now find out the y intercept 29 - (3*9) = 2 y = 3x + 2
Yes a tangent is a straight line thattouches a curve at only one point But there is a tangent ratio used in trigonometry