derivative y^2 = 4a(x+a sin(x/a))

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

4:36

Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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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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2nd way: integral ∫ log √x(x^n) dx

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2nd way: integral ∫ log √x(x^n) dx

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logic Idempotent law show x=xVx

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logic Idempotent law show x=xVx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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lim x/e^x? as x→∞

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lim x/e^x? as x→∞

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2nd/3ways: trig integral ∫sec(x) dx

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2nd/3ways: trig integral ∫sec(x) dx

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx

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partial Let f(x,y,z)=x e^(yz). Compute fxzy & fyxz.

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partial Let f(x,y,z)=x e^(yz). Compute fxzy & fyxz.

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prob stat: 1st/2 parts. One sample has a mean of M=6 &

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prob stat: 1st/2 parts. One sample has a mean of M=6 &

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Screen Recording 2024-05-05 at 11.29.37 PM

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Screen Recording 2024-05-05 at 11.29.37 PM

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prob stat: X & Y are 2 events s.t P(x|y)=0.4, P(y)=0.25 & P(x)=0.2.

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prob stat: X & Y are 2 events s.t P(x|y)=0.4, P(y)=0.25 & P(x)=0.2.

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Screen Recording 2024-05-13 at 9.20.51 PM

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Screen Recording 2024-05-13 at 9.20.51 PM

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exp Calculate ∫x^3 3^x dx via IBP

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exp Calculate ∫x^3 3^x dx via IBP

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prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.

1:37

prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.

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Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4

3:20

Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4

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Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub

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Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

1:28

Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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