b Use a computer software to draw the curve and the tangent

b. Use a computer software to draw the curve and the tangent line at P. Print out and b. attach the result. 8. (12 points) Given segments a, b, and 1 below. Explain a method to construct a segment with length a Feel free to draw. For earning 4 bonus points: Do the construction +b2 using GeoGebra or similar software. (Use sliders for segments a, b, and 1). 9. (10 points) Pose a real-life problem that requires to solve a degree 3 polynomial equation, and solve the problem. The more original, realistic, and interesting your problem is, the better!

Solution

ans 8) first of all we can see that b is less tha 1 and a is greater than 1.

now we can find the length of a and b. Since we are given a line segment of length 1 so we can calculate the length of a and b.

We need to create a perpendicular bisector of line segment of 1 units. so that we can precisely calculate the length of a and b.

after bisecting we have two lengths first one of 1 units and other of .5 units.

further for mroe precise calculations bisect the segment of .5 units.

now calculate length of b by using .5 and .25 length segments.

now calculate a by using 1 , .5 and .25 segments.

put the value of both in equation and find the length of the segment that needs to be drawn

Further draw the line segment by using the segment of 1, .5 and .25 units.