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Review: Product to Sum Identities

2 ViewsAug 9, 2023

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
14:46

STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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4 Views

Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
5:18

Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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logic: tautology (¬p→q)∧(¬p→¬q) →p
4:10

logic: tautology (¬p→q)∧(¬p→¬q) →p

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Review: Linear form, Quadratic form & Bilinear form
9:02

Review: Linear form, Quadratic form & Bilinear form

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logic Idempotent law show x=xVx
1:11

logic Idempotent law show x=xVx

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
4:48

diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
0:56

AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
1:13

Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
0:45

AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
0:50

MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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Evaluate the integrals
1:29

Evaluate the integrals

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n
5:12

UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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2 ways: derivative (ax+b)^n
3:14

2 ways: derivative (ax+b)^n

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)
3:05

2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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What would the value of SS be for his set of scores [118,118,118,118,118,118]?
0:56

What would the value of SS be for his set of scores [118,118,118,118,118,118]?

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3:54

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integral exp ∫e^(mx)/(x^n) dx via Reduction formula
3:08

integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
4:37

1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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count Show Σ k^2 = ΣΣmin(i,j) where i,j,k=1 to n
4:23

count Show Σ k^2 = ΣΣmin(i,j) where i,j,k=1 to n

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We lost original x's but still know mean x̄ & n. Now we collected m new observations.
2:36

We lost original x's but still know mean x̄ & n. Now we collected m new observations.

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