مفاجأة لكل اللي بياخدو ماس بالإنجليش .....
أنا حاولت ألأخص على قد ما أقدر منهج ال calculus وال trig

بعدين هبقى أحط مسائل بالتدريج من الصعب للسهل ......

و إنشاء الله تعجبكم .....

ولو حد عايز أي حاجة أشرحهاله أوضحاله .. أنا موجوووووووووووووووووووووووووووووود


مش مستنيين بقى غير إنكو تدعوا إن ربنا يوفقني و يديني اللي نفسي في إنشاء الله ....
(في المرفقات ملف وورد)

هنبدأ الأول بمسائل ال Trig(sum and difference between angles) ......

1) Without using the calculator find:
http://www.aladwaa.com/QBImg/MTE11/MTE111333.gif


2)Without using the calculator find

http://www.aladwaa.com/QBImg/MTE11/MTE11A340.gif

3)without using caculator find

http://www.aladwaa.com/QBImg/MTE11/MTE111339.gif

4)Find:
4)http://www.aladwaa.com/QBImg/MTE11/MTE111346.gif

5) Prove that:

http://www.aladwaa.com/QBImg/MTE11/MTE111364.gif

6) Without using the calculator prove that:

http://www.aladwaa.com/QBImg/MTE11/MTE111385.gif

بعدين مسائل (Double Angles)


1)Find:
http://www.aladwaa.com/QBImg/MTE11/MTE111430.gif

2)Find:
http://www.aladwaa.com/QBImg/MTE11/MTE111442.gif

3) Simplify:

http://www.aladwaa.com/QBImg/MTE11/MTE111451.gif

4) Simplify:

http://www.aladwaa.com/QBImg/MTE11/MTE111457.gif

5) Prove that:

http://www.aladwaa.com/QBImg/MTE11/MTE111473.gif

نخش بقى على ال Limits

1)Find:
http://www.aladwaa.com/QBImg/MTE11/MTE111818.Gif

2)find:

http://www.aladwaa.com/QBImg/MTE11/MTE111820.Gif

3)Find:

http://www.aladwaa.com/QBImg/MTE11/MTE111822.Gif

4)Find:

http://www.aladwaa.com/QBImg/MTE11/MTE111838.Gif

5)Find:

http://www.aladwaa.com/QBImg/MTE11/MTE111828.Gif

نشد بقى على ال Differentiation and first derivative

1)Find the slope of the tangent to the curve of f(x) = 8x2 + 1 at each of the following points

http://www.aladwaa.com/QBImg/MTE11/MTE111870.gif

2)A cube expands regularly such that it preserves its shape. Find the average rate of change in its total faces area as its edge length changes from 20 cm to 20.4 cm. Then calculate the rate of change of the volume of the cube when its edge length is 20 cm.

3)The length of a rectangular lamina is three times its width. The lamina expands such that it preserves its shape with the same ratio between its dimensions. Find the rate of change of its area when its width is 20 cm.

4)Find the rate of change of the function

http://www.aladwaa.com/QBImg/MTE11/MTE111857.gif

نديها بقى elevation and depression و كمان solution of the triangle

1)From a window of a building 8 m high, the elevation angle of the top of a tree was measured and found to be 25 , and the measure of the depression angle of the bottom of such tree was 40 . Find the height of the tree and its distance from the building.


2)A man observed the top of a tower at an angle of elevation of 25 . When he walked horizontally towards the base of the tower 40 meteres, the measure of the anlge of elevation of the top became 42 . Find the height of the tower.

3)A ship started sailing in the direction 18 south west with velocity 25 km/h. At the same time another ship started sailing from the same point in the direction 48 west north with velcoity 15 km/h. find the distance between the two ships after two hours.

4)A tree was broken such that its top touched the ground and its upper part made an angle of measure 50 with the ground. If the top of the tree was at distance 8 m from its bottom. Find the length of the tree.

5)ABCD is a parallelogram, AB = 32 cm, BC = 44 cm, BD = 36 cm. Find:
i) AC
ii) area of parallelogram ABCD.


6) Solve the triangle with a = 1.25 cm, b = 2.05 cm, c = 1.52 cm.

ناقص بقى مسائل المدرسة الخنيقة و المكلكعة ........
اللي وقفت قدامه أي مسألة يقول رقم الصفحة و المسألة و إنشاء الله نشوفها مع بعض و نحلها ....:):)

3)without using caculator find

http://www.aladwaa.com/QBImg/MTE11/MTE111339.gif

w/o calculator??!!!!! that's crazzzy!! how do u do that???
i'm already done with school, alhamdulillah :P but i just wanna know for fun
how do u do sin, cos, & tan without a graphing >TI-83 calculator??1 cuz my teacher taught us 2 do it WITH calculator!!

anways...thanks for the topic that i'm sure many will benefit from, isa :)

:):):):):):)
That's why education is Egypt is stupid :D:D:D
but i think this one isn't so stupid :D:D

i was asking about how you do the problem without a calculator!! :) thanks!l

mmmmmm
i know :)
but i was talkin about something else.......
about using it without calculator....
there 's a method an easy one .....:)

إية يا جماعة محدش عايز أي حاجة خالص ...كله تمام التمام :d:d:d:d

هههههههههه خلاص براحة علينا شوية يا عم ميزو !!
هنحل حاضر

ناقص بقى مسائل المدرسة الخنيقة و المكلكعة ........
اللي وقفت قدامه أي مسألة يقول رقم الصفحة و المسألة و إنشاء الله نشوفها مع بعض و نحلها

اكتب دول الاول !


وثاااااااااااااااااانكس على المجهود

2)Without using the calculator find

http://www.aladwaa.com/QBImg/MTE11/MTE11A340.gif


6) Without using the calculator prove that:


http://www.aladwaa.com/QBImg/MTE11/MTE111385.gif
hانا مش عرفت احل دول يا ريت ثحلهم


انا حليت 4 مسائل ممكن تشفهم

http://www.raffe3.com/download.php?filename=6841fb2d06.wmf

2)Without using the calculator find

http://www.aladwaa.com/QBImg/MTE11/MTE11A340.gif


6) Without using the calculator prove that:


http://www.aladwaa.com/QBImg/MTE11/MTE111385.gif
hانا مش عرفت احل دول يا ريت ثحلهم


انا حليت 4 مسائل ممكن تشفهم

http://www.raffe3.com/download.php?filename=6841fb2d06.wmf

برافووو يا ليناا ...
حل المسألة الأولى أهو :
http://www.aladwaa.com/QBImg/MTE11/MTE11B340.gif

و التانية أهو :

http://www.aladwaa.com/QBImg/MTE11/MTE111386.gif

لو في حاجة وقفت معاكي ... قولي

شباب المسألة دي لو حد يعرف يحلها عذبتني....
Without using calc.,prove that:
http://xs128.xs.to/xs128/08242/untitle324172.jpg

هوا عايز أيه فى المساله أصلا !!!!!!!!!!!!!!!!!!!!!!!!!

ana 3ndy mas2ala meganenany ba2alha 3 ayam bas besor3a 3lshan el emta7an bokra
prove that:
(cos(A+B))^2+(cos(A+B))^2+cos2Acos2B+1

هوا عايز أيه فى المساله أصلا !!!!!!!!!!!!!!!!!!!!!!!!!

اثبت ان L.h.s يساوي R.h.s ?!?!?!

ana 3ndy mas2ala meganenany ba2alha 3 ayam bas besor3a 3lshan el emta7an bokra
prove that:
(cos(A+B))^2+(cos(A+B))^2+cos2Acos2B+1

هتثبت ايه ؟!؟!؟ فين اصلا علامة equal عشان اثبت

>>>ya gama3a 7ad atfarg 3la chanel 2 3la altelevision

prove that:
(cos(A+B))^2+(cos(A+B))^2=cos2Acos2B+1
sorry katabtaha fel 2wel ghalat

انتي جبتيها منين دي؟؟

انتي جبتيها منين دي؟؟

أيوة فعلا ًٍ جبتيها منين دي ؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟

men ketab lami

men ketab lami

طب لامي بيحط إجابات ....... ملهاش إجابة دي؟؟؟؟؟؟؟

مرسي جدا يا ميزوووووووو

prove that:
(cos(A+B))^2+(cos(A+B))^2=cos2Acos2B+1
sorry katabtaha fel 2wel ghalat

علي فكرة المسألة فيه غلطة صغيرة المفروض الــL.H.S يكون كده Cos2A+Cos2B+1
وانا حلتها علي كده,..
[Cos(A+B)]^2+[Cos(A+B)]^2=Cos2A+Cos2B+1
Solutin,...
2[Cos(A+B)]^2=
2Cos^2(A+B)=1+Cos2(A+B)
بعد كده اضرب الــCos2 في الــA و B
=1+Cos2A+Cos2B