Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd/3ways: trig integral ∫sec(x) dx

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trig Write each expression as an equivalent algebraic expression involving only x.

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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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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Screen Recording 2024-02-22 at 10.18.05 PM

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Find the number of permutations of the letters of the word ALLAHABAD

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AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx

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5 ways: trig Derivative of sin^2(x)

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1st/2parts: Linear interpolation (2 given points)

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NYU: compute integral ∫√(1+ √x) dx

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Screen Recording 2023-12-07 at 2.04.49 AM

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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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Screen Recording 2024-02-22 at 10.09.39 PM

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#17 2022 MIT Integration Bee Qualifying Exam

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trig Evaluate each expression below withOUT using a calculator.

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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Is 4cos^3(x)-3cos(x) EVEN, ODD, NEITHER, BOTH EVEN & ODD?

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