Careful: arc sin(sin(5π/4)) ≠ ...

2nd/2 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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2 ways: sq root derivative 1/(√√(1/√x))

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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2 ways: diff eq Solve dy/dx-x^2=0

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2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2

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Conversion: Permutation - Combination vice versa

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OSU Math 1151 Practice1: Compute the derivative (1)-(8)

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log sq root integral ∫ln(√ x^3)/√ √ x dx

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OSU Math 1151 Practice2: Compute the derivative (1)-(8)

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Find the median of 4,6,8,...,296

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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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alternate way: count sum 1+2+3+ ... +n

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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

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Alternate way: exp derivative x^n

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3rd/3 ways: trig integral ∫ sin(ax+b) dx

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