Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.
jsMath

4.1 Exercises

From Förberedande kurs i matematik 1

Revision as of 12:28, 7 August 2008 by Ian (Talk | contribs)
Jump to: navigation, search
       Theory          Exercises      

Exercise 4.1:1

Write in degrees and radians

a) 41 varv b) 83 varv
c) −32 varv d) 1297 varv

Svar | Lösning

Exrecise 4.1:2

Transform to radians

a) 45 b) 135 c) −63 d) 270

Svar | Lösning

Exercise 4.1:3

Determine the length of the side marked x.

a)

4.1 - Figur - Rätvinklig triangel med sidor 30, 40 och x

b) 4.1 - Figur - Rätvinklig triangel med sidor 12, x och 13 c) 4.1 - Figur - Rätvinklig triangel med sidor 8, x och 17

Svar | Lösning a | Lösning b | Lösning c

Exercise 4.1:4

a) Determine the distance between the points (1,1) and (5,4).
b) Determine the distance between the points(-2,5) and (3,-1).
c) Find the point on the x-axis which lies as far from the point (3,3) as from (5,1).

Svar | Lösning a | Lösning b | Lösning c

Exercise 4.1:5

a) Determine the equation of a circle having its centre at (1,2) and radius 2.
b) Determine the equation of a circle having its centre at (2,-1) and which contains the point (-1,1).

Svar | Lösning a | Lösning b

Exercise 4.1:6

Sketch the following circles

a) x2+y2=9 b) (x−1)2+(y−2)2=3
c) (3x−1)2+(3y+7)2=10

Svar | Lösning a | Lösning b | Lösning c

Exercise 4.1:7

Sketch the following circles

a) x2+2x+y2−2y=1 b) x2+y2+4y=0
c) x2−2x+y2+6y=−3 d) x2−2x+y2+2y=−2

Svar | Lösning a | Lösning b | Lösning c | Lösning d

Exercise 4.1:8

How many resolutions does a wheel of radius 50 cm make when it rolls 10m?

Svar | Lösning

Exercise 4.1:9

On a clock, the second hand is 8 cm long. How large an area does it sweep through in 10 seconds?

Svar | Lösning


Exercise 4.1:10

A washing line of length 5,4 m hangs between two vertical trees that are at a distance of 4,8 m from each other. One end of the line is fixed 0,6 m higher than the other, and a jacket hangs from a hanger 1,2 m from the tree where the line has its lower point of attachment. Determine how far below the lower attachement point the hanger is hanging.(that is, the distance x in the figure).


4.1 - Figur - Tvättlina med kavaj på galge

Svar | Lösning

Retrieved from "http://wiki.math.se/wikis/2008/bridgecourse1-ImperialCollege/index.php/4.1_Exercises"