Aufgabe 2 Gegeben ist die Funktion f(x) = (2)/(3)x^3 -...

Aufgabe 2 Gegeben ist die Funktion f(x) = \frac{2}{3}x^3 - \frac{8}{3}x. a) Zeigen Sie, dass die Tangenten in den äußeren beiden Nullstellen parallel verlaufen. b) Bestimmen Sie die Gleichung der Wendetangente (Tangente im Wendepunkt) und deren Steigungswinkel (entspricht Schnittwinkel mit der x-Achse)

Transcript

00:01 So, in the first part in the question number 19, it is given that the radius of the circle is root over 13 and the points x, y through which it passes are minus 8 and 7.

00:17 Therefore, equation of the circle is given by x minus of minus 8 square plus y minus 7 whole square is equal to root over of 13 square.

00:37 This gives us x plus 8 square plus y minus 7 square is equal to 13.

00:48 So this is our answer that is this is the equation for the circle passing through the points minus 8, 7 and the radius is 13.

00:57 We go to the next problem that is problem number 20.

01:00 In this problem, it is given that we have been provided with the graph.

01:05 So we will consider the first point that is point number 1, which is on the left hand side of the y axis.

01:15 So the coordinates we have got from the graph as minus 2, 5 and point 2 that is on the right hand side of the y axis, its coordinate is 2, 6.

01:31 Therefore, the formula of slope is the difference in the coordinates of y axis by difference in coordinates in the x axis.

01:39 Therefore, we can write that 5 minus 6 divided by minus 2 minus 2, which is equal to 1 by 4 that is option number a.

01:56 This is our answer.

01:57 Now we come to problem number 21.

02:02 Here we have been given that the slope that we denote by m is 0 and the points are minus plus 2 and minus 3.

02:15 So we can form the equation of the slope that is m is equal to y plus 3 divided by x minus 2.

02:26 Therefore, we will just put the value of m which is equal to 0 that is equal to y plus 3 divided by x minus 2.

02:34 This gives us the equation of y is equal to minus 3 or we can write it in the slope intercept form that is y equals to 0 multiplied with x minus 3.

02:48 So this is our answer...

Question

Please give Ace some feedback