Our Sample Works

Essay-Samples offers to evaluate samples of various types of papers. We have gathered all of them to show you the qualification and high professional level of our writers.

Sample banner

QUIZ 1

0 / 5. 0

QUIZ 1

Category: Problem solving

Subcategory: Mathematics

Level: College

Pages: 2

Words: 550

Quiz 1
Name
Institution
Course
Instructor
Date

(i) Consider a graph of shown below.

Find the slope and equation of the line joining A and B.
Let A (1,-10) be (x1,y1) and B(-2,17) be (x2,y2).
Slope is give by change in y/ change in x
Thus in this case, it will be (y1-y2)/(x1-x2)
= (-10-17)/ (1-(-2))
=-27/3
=-9
Equation of the line joining A and B
Take any point in the line AB to be (x, y) and (1,-10)
Then Slope remain the same thus,
-9=(y+10)/(x-1)
-9x+9=y+10
Thus y=-9x-1
Find the slope and equation of the line joining A and C.
Let A (1,-10) be (x1,y1) and C(0,1) be (x2,y2).
To find the slope= (y1-y2)/ (x1-x2)
= (-10-1)/(1-0)
= -11
Equation of the line AC will be
Assume a point (x, y) in the line and c(0,1)
Then -11=(y-1)/(x-0)
-11x=y-1
Then y=1-11x
Find the y-coordinate of the point P with x-coordinate equal to 0.5 (x=0.5.)
The equation of the curve is y=x^3-12x+1
At x=0.5
Substitute 0.5 to x in the equation
Y= (0.5) 3-12*0.5+1
Y=0.125-6+1
Y= -4.875
Find the slope and equation of the line joining A and P.
Let A (1,-10) be (x1, y1) and P (0.5,-4.875) be (x2,y2)
Then the slope= (y2-y1)/(x2-x1)
=(-4.875-(-10))/(0.5-1)
=5.125/-0.5
= -10.25
The equation of the line AP
Assume a point in the line (x, y) and A(1,-10)
= -10.25=(Y+10)/(X-1)
Y+10=10.25-10.25X
Y=0.25-10.25X (Larson & Edwards, 2009)
(ii) Consider the function defined by

Find
The value -2 lie in f(x)=2x-1
Set the f(x)=0 then
2x-1=0
2x=1
X=0.5

Don’t waste time!

Order Original Essay on the Similar Topic

Order Similar

from $10 per-page