Math With Tabish
Math With Tabish
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Mathematics Class 11 Karachi board PDF solution available in the given link below click to download now
https://drive.google.com/file/d/16UcVBOo9waO3UOgYFBai4Q8pjW9SSMtc/view?usp=drivesdk
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The Savvy School Metroville Campus
Siraj Muhammad
CALCULUS
EARLY TRANSCENDENTALS
HOWARD ANTON Drexel University
IRL BIVENS Davidson College
STEPHEN DAVIS Davidson College
Pdf With Solution Manual Key
Link 🔗 👇
https://drive.google.com/drive/folders/1hX_EwNMHbqK3t_tX1lZvcPeX7vI6DSEN
BS Mathematics Pdf Book Available
*Session 2020-2024*
*Government College University Faisalabad.*
*The notes of all courses you have studied till now, have been attached in these links.*
*You can download the notes of required subject by clicking the link of corresponding subject's semester.*
*First Semester*
https://drive.google.com/drive/folders/1NYgF83G7GsD0y9XYzK_y9_S4Xm0j76RL
*Second Semester*
https://drive.google.com/drive/folders/1NsxIWaa49RemA1Mq9i6fArt62TukTRiv
*Third Semester*
https://drive.google.com/drive/folders/1cjv_bIdoKHi7IOd-BNoLtqSZZoKbx_OD
*Fourth Semester*
https://drive.google.com/drive/folders/1W9TxfxLrkv15EHu91m7X7HCbjZc9k6Yh
*Fifth Semester*
https://drive.google.com/drive/folders/1RTS2D2MjR9w_2mCSHg-PpHqHiXlBZ9fh
*Sixth Semester*
https://drive.google.com/drive/folders/1a67U84wdqL9Y8zToqLjtDM0ykv34YQoM
*Seventh Semester (Pure)*
https://drive.google.com/drive/folders/1guklFrDQw0k6I6pBjK1a4Nx7pwfYLysf
*Eighth Semester (Pure)*
https://drive.google.com/drive/folders/1kaZRCX-MmgxoXELjfEyVrjKaH3F3sRa3
Almost complete notes, slides, books in PDF form for BS Mathematics
Amade Rasool PBUH Grade 7 Faraz Speech on Seerat Un Nabi SAW at The Savvy School Metroville Campus
Pythagorean theorem for grade 9:
Statement of the theorem:
In a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Mathematical statement:
a^2 + b^2 = c^2
where a and b are the lengths of the two sides that form the right angle, and c is the length of the hypotenuse.
Proof:
Consider a right-angled triangle with sides of length a, b, and c, where c is the hypotenuse.
Draw a square on each side of the triangle, as shown:
The area of the square on side a is a^2.
The area of the square on side b is b^2.
The area of the square on side c is c^2.
Now, observe that the two small triangles formed by the squares on sides a and b are congruent (same size and shape).
Therefore, the area of the square on side c is equal to the sum of the areas of the squares on sides a and b.
c^2 = a^2 + b^2
This proves the Pythagorean theorem!
Example:
In a right-angled triangle, the length of the hypotenuse is 10 cm, and one of the other sides is 6 cm. Find the length of the third side.
Using the Pythagorean theorem:
a^2 + b^2 = c^2
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 64
b = √64 = 8 cm
Therefore, the length of the third side is 8 cm.
I hope this helps! Let me know if you have any questions or need further clarification.
The Savvy School Metroville Campus
Unit 2 Rational numbers Ex 2A Class 7 Countdown Math Notes
Class 8 Umer Ali Explaining his project about TANGRAM in Math Week at The Savvy School Metroville Campus
Matrices
# Types of matrices
# Properties of matric
# Order 2x2 and 3x3
# Addition & Multiplication
Linear Equation In One Variable
Concept Based Math Topic
Trigonometry Formulas
Basic rules of integration
Double integral
Integration by parts
Integration by substitution
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