Trig substitution - Study guides, Class notes & Summaries
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Calculus Exam One Practice Problems Questions and Answers
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∫ 2x / (x² - 1) - ANSWER-Method: U sub 
HW 6 #1 
Answer: ln(x+1) + ln(x-1) + C 
 
∫ x - 8 
x² + 2x - 8 - ANSWER-Method: Partial Fractions 
HW 6 #3 
Answer: 2 ln(x+4) - ln(x-2) + C 
 
∫ 9x - 25 
3x² - 13x + 4 - ANSWER-Method: Partial Fractions 
HW 6 #5 
Answer: 2 ln(3x-1) + ln(x-4) + C 
 
∫ x² + 4x + 5 
x³ + x² + x + 1 - ANSWER-Method: Partial Fractions 
HW 6 #7 
Answer: 4 tan⁻¹(x) + ln(x+1) + C 
 
∫ 4x² + 11 
x³ + x² + 4x + 4 - ANSWER-Method: Partial Fractions 
HW 6 #9 
An...
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The ACT Test Math Practice Test 55 Questions with Verified Answers,100% CORRECT
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The ACT Test Math Practice Test 55 Questions with Verified Answers 
 
Sine - CORRECT ANSWER Opposite/Hypotenuse 
 
Cosine - CORRECT ANSWER Adjacent/Hyptonuse 
 
Tangent - CORRECT ANSWER Opposite/Adjacent 
 
Circumference of a Circle - CORRECT ANSWER 2*Pi*R 
 
Area of a circle - CORRECT ANSWER Pi * R^2 
 
Midpoint Formula - CORRECT ANSWER x1+x2/2 y1+y2/2 
 
Linear Equation - CORRECT ANSWER Y=Mx+b 
 
M= - CORRECT ANSWER Slope 
 
B= - CORRECT ANSWER Y-intercept 
 
Pythagorean theorem - CORRECT ANSW...
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Math 1172 Final Exam Solved
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Integral of 1/(x^2+a^2) (1/a)arctan(x/a)+C 
 
Area between two curves Integral of the upper curve minus the lower curve 
 
Volume of a solid Integral of the area 
 
How do you use the washer method to find volume? pi*the integral of R^2-r^2 
 
How do you use the shell method to find volume? 2pi*the integral of ro*h 
 
Use this method when the rectangles are parallel to the axis of rotation Shell method 
 
Use this method when the rectangles are perpendicular to the axis of rotation Washer method...
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MAT 271 Exam 3 Questions With 100% Correct Answers
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MAT 271 Exam 3 Questions With 100% 
Correct Answers 
derivative RVW - answer* d/dx (x^n) = n * x ^ (n-1) 
* product rule: d/dx(uv) = u'v + uv' 
* quotient rule: d/dx (f(x) / g(x)) = [gf' - fg']/ g^2 
* chain rule: dy/dx = dy/du * du/dx 
trig derivative RVW - answer* d/dx (sin x) = cos x 
* d/dx (cos x) = - sin x 
* d/dx (tan x) = sec^2 x 
* d/dx (csc x) = - csc x * cot x 
* d/dx (sec x) = sec x * tan x 
* d/dx (cot x) = - csc^2 x 
* d/dx (arcsin x) = 1 / [1 - x^2]^1/2 
* d/dx (arctan x) = 1 ...
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A-level PHYSICS 7408/3BA Paper 3	Section B	Astrophysics
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A-level 
PHYSICS 
7408/3BA 
Paper 3	Section B	Astrophysics 
Mark scheme 
June 2024 
Version: 1.0 Final 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
*246A740/3A/MS* 
 
 
Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all associates participate in and is the scheme which was used by them in this e...
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How to Succeed in Physics (and reduce your workload) Kyle Thomas, Luke Bruneaux, Veritas Tutors
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How to Succeed in Physics (and reduce your workload) Kyle Thomas, Luke Bruneaux, Veritas TutorsTable of Contents HOW TO SUCCEED IN PHYSICS (and reduce your workload) Introduction............................................................................................. 7 MATH CONCEPTS.................................................................... 8 The ideas behind the symbols................................................................ 9 ALGEBRA...........................................
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The ACT Test Math Practice Test 55 Questions with Verified Answers,100% CORRECT
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The ACT Test Math Practice Test 55 Questions with Verified Answers 
 
Sine - CORRECT ANSWER Opposite/Hypotenuse 
 
Cosine - CORRECT ANSWER Adjacent/Hyptonuse 
 
Tangent - CORRECT ANSWER Opposite/Adjacent 
 
Circumference of a Circle - CORRECT ANSWER 2*Pi*R 
 
Area of a circle - CORRECT ANSWER Pi * R^2 
 
Midpoint Formula - CORRECT ANSWER x1+x2/2 y1+y2/2 
 
Linear Equation - CORRECT ANSWER Y=Mx+b 
 
M= - CORRECT ANSWER Slope 
 
B= - CORRECT ANSWER Y-intercept 
 
Pythagorean theorem - CORRECT ANSW...
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BC Calculus Test 2 Derivative rules and Rectalinear motion Questions and Answers
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BC Calculus Test 2 Derivative rules and Rectalinear motion Questions and Answers 
 
Derivative Notation 
D(x)f(x) means the derivative wrt x 
With the big bar it means to evaluate at a specific value 
Second derivative is derivative of derivative 
 
 
 
 
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Derivative Rules 
 
 
 
Power rule proof for negative integers 
look at f(x) = x^(-n) as 1/x^n, then use the quotient r...
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Maths Formulas and notes
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List of all Derivative Formula, Integral Formula, Notes On how to do Trig Substitution, integration by parts, Partial Fractions, Trig Graphs, Inverse Graphs, Logarithmic Derivations and Exponential Derivations
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Edexcel A-Level Mathematics - Core Pure Maths
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1.	Order of a matrix	Number of rows by number of columns 2.	Square matrix	Matrix of order NxN 3.	Leading diagonal	Diagonal of matrix from top left to bottom right 4.	Conditions for two matrices to be equal -	must have same order -	each element in one matrix must be equal to the corresponding ele- ment in the other 5.	Matrices which you can't add are...	non-conformable for addition 6.	Matrices which you can't multiply are... non-conformable for multiplication 7.	Matrix...
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