D. There are 15 grams of fat per 200 grams of raw hamburger. This is the end of the test. When you have completed all the questions and reviewed your answers, press the button below to grade the test.
Both the graph of y = f(x) and the tangent line pass through the point, and the tangent line has the same gradient, 'm', as the function at that point. The normal line to function y = f(x) at the point (x1,y1) is the straight line that passes through the point making a 90 angle with the graph.The gradient of the normal line is -1/m, where 'm' is the gradient of the tangent line at the same point.'m' is the gradient at (x1,y1)). The equation of the normal line to y = f(x) at (x 1 ,y 1) is: The derivative of y = f(x) at (x 1 ,y 1) gives us the gradient 'm'. For example: Calculate the tangent and normal lines to the function: y = x 2, when x = 1. Solution: Part 1, tangent line.
A tangent is a line that just touches a curve at one point, without cutting across it. Here is a tangent to an ellipse: Here is a cool thing: the tangent line has equal angles with the two lines going to each focus! Try bringing the two focus points together (so the ellipse is a circle) ... what do you notice? Section of a Cone. You can also get an ellipse when you slice through a cone (but not too steep a slice, or you get a parabola or hyperbola). In fact the ellipse is a conic section (a section of a cone) with an eccentricity between 0 and 1. Equation By placing an ellipse on an x-y graph (with its major axis on the x-axis and minor axis on the y-axis), the equation of the curve is: