A lim - Study guides, Class notes & Summaries
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OCR 2023 GCE MATHEMATICS A H240/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
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2 
© OCR 2023 H240/02 Jun23 
^ h 
= 
n+1 
2 
n 2 2 
L P 
2! r! 
dx dx 
Formulae 
A Level Mathematics A (H240) 
Arithmetic series 
S = 
1 
n^a + lh = 
1 
n"2a +^n - 1hd, 
Geometric series 
Sn 
= 
a 1-r 
n 
1 -r 
 a 
3 1-r 
for r 1 1 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+b 
n ^n e Nh, 
n 
J 
n 
N n! 
where Cr 
= n 
Cr 
= K 
r 
O = 
r!^n -rh! 
^1+xh 
n 
= 1+nx+ 
n^n -1h 
x 
2 
+f+ 
n^n -1hf^n -r+1h 
x 
r 
+f ^x 1 1,n e Rh 
Differentiatio...
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Literatuur 1JM50 module 1 t/m 3
- Summary • 57 pages • 2023 Popular
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Demerouti, E. (2022). Turn digitalization and automation to a job resource. Applied Psychology, 71, 105-109. 
 
Gagné, M., Parker, S. K., Griffin, M. A., Dunlop, P. D., Knight, C., Klonek, F. E., & Parent-Rocheleau, X. (2022). Understanding and shaping the future of work with self-determination theory. Nature Reviews Psychology, 1(7), 378-392. 
Hosseini, Z., Nyholm, S., Le Blanc, P. M., Preenen, P. T., & Demerouti, E. (2023). Assessing the artificially intelligent workplace: an ethical frame...
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KUMON LEVEL N TEST EXAM 2024 WITH 100% CORRECT ANSWERS
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1. Given the fixed points F(0 ,√5) and F' (0 ,-√5), obtain the equation of the locus point P(x, y), such that PF +PF' = 8 Answer - √[x^2+(y-V5)^2]+√[x^2+(y+V5)^2]=8 
x^2/11+y^2/16 = 1 
 
2 Graph the region satisfying the given system of inequalities, and then state the range of values x and y 
x-y+1 ≥ 0 
5-2x-y ≥ 0 Answer - all real numbers for x, y ≤ 7/3 
 
3. Obtain the 30th term of an arithmetic sequence whose 5th term is -3 and whose 14th term is 24. Answer - a+4d=-3, a+13d=2...
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OCR 2023 GCE MATHEMATICS A H230/02: PURE MATHEMATICS AND MECHANICS AS LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 49 pages • 2024
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2 
© OCR 2023 H230/02 Jun23 
x 
2 
2 
Formulae 
AS Level Mathematics A (H230) 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+ b 
n ^n e Nh, 
where nC = C = c 
n 
m = 
n! 
r n r r r!^n-rh! 
Differentiation from first principles 
fl^xh = lim f^x+hh-f^xh 
h "0 h 
Standard deviation 
/ x 
2 / fx2 
= 
n 
-x 
2 or = / f 
-x 
2 
The binomial distribution 
If X ~ B^n, ph then P^X = xh = c 
n 
mp 
x^1-ph 
n-x 
, mean of X is np, variance of X is np^1 ...
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OCR 2023 GCE MATHEMATICS A H240/03: PURE MATHEMATICS AND MECHANICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 75 pages • 2024
- Available in package deal
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2 
© OCR 2023 H240/03 Jun23 
^ h 
= 
n+1 
2 
n 2 2 
2! r! 
dx dx 
Formulae 
A Level Mathematics A (H240) 
Arithmetic series 
S = 
1 
n^a + lh = 
1 
n"2a +^n - 1hd, 
Geometric series 
Sn 
= 
a 1-r 
n 
1 -r 
 a 
3 1-r 
for r 1 1 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+b 
n ^n e Nh, 
where 
nC = C = c 
n 
m = 
n! 
r n r r r!^n -rh! 
^1+xh 
n 
= 1+nx+ 
n^n -1h 
x 
2 
+f+ 
n^n -1hf^n -r+1h 
x 
r 
+f ^x 1 1, n e Rh 
Differentiation 
f x fl x...
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MAT1581 Assignment 3 Semester 2, 2023.
- Exam (elaborations) • 8 pages • 2023
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MAT1581 Assignment 3 Semester 2, 2023.100% TRUSTED Answers, guidelines, workings and references.QUESTION 1 
Determine the following limits: 
1.1 
2 
3 0 
3 4 lim 
x 2 
x x 
 x 
 
 
(2) 
1.2 2 1 
limx 1 
n x 
 x 
 (3) 
 [5] 
QUESTION 2 
Determine 
dx 
dy of the following and simplify if possible: 
2.1 yx x cos5 (2) 
2.2 2 
y xx 4 (3) 
2.3 3 sin x y n e (3) 
 [8] 
QUESTION 3 
Determine the gradient of the curve 2 
2 
5 
x 
y 
x at the point...
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REAL ESTATE POST LICENSING 301 - WORKING AS A LIMITED SERVICES BROKER & MULTIPLE LISTING
- Exam (elaborations) • 43 pages • 2024
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REAL ESTATE POST LICENSING 301 - WORKING AS A LIMITED SERVICES BROKER & MULTIPLE LISTING
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Fred Loya Limited Lines State Test (Questions + Answers) Verified 100% Correct!!.
- Exam (elaborations) • 19 pages • 2024
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What course of action does a party to a contract have if the other party is found to be in breach of that 
contract? - Answer-Damages for breach, reasonable attorney fees, and costs. 
A representation in an insurance contract qualifies as of the following? 
-an amendment 
-an expressed warranty 
-a policy provision 
-an implied warranty - Answer-implied warranty 
What does it mean if an agent's license is inactive? - Answer-the agent cannot transact any insurance 
business for which is valid, a...
-
Fred Loya Limited Lines State Test Questions With Verified Answers
- Exam (elaborations) • 17 pages • 2024
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Fred Loya Limited Lines State Test 
Questions With Verified Answers 
What course of action does a party to a contract have if the other party is found to be in breach of 
that contract? - answerDamages for breach, reasonable attorney fees, and costs. 
A representation in an insurance contract qualifies as of the following? 
-an amendment 
-an expressed warranty 
-a policy provision 
-an implied warranty - answerimplied warranty 
What does it mean if an agent's license is inactive? - answerthe a...
-
The God of Love Would Not Elect A limited Number of People To Salvation. Discuss
- Essay • 3 pages • 2024
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This was written in year 13, achieving an A* grade and discussing God's omnibenevolence and salvation
-
Fred Loya Limited Lines State Test Questions With Verified Answers
- Exam (elaborations) • 17 pages • 2024
- Available in package deal
-
- $12.49
- + learn more
Fred Loya Limited Lines State Test 
Questions With Verified Answers 
What course of action does a party to a contract have if the other party is found to be in breach of 
that contract? - answerDamages for breach, reasonable attorney fees, and costs. 
A representation in an insurance contract qualifies as of the following? 
-an amendment 
-an expressed warranty 
-a policy provision 
-an implied warranty - answerimplied warranty 
What does it mean if an agent's license is inactive? - answerthe a...
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