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prob stat: Events A & B are s.t P(A)=.3, P(B)=0.4, P(A n B)=0.1. Find a) P(AnB') b)P(A' n B')

2:30

prob stat: Events A & B are s.t P(A)=.3, P(B)=0.4, P(A n B)=0.1. Find a) P(AnB') b)P(A' n B')

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lim x/e^x? as x→∞

0:50

lim x/e^x? as x→∞

13 Views

multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

2:04

multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

2:04

multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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2 ways: trig integral cos^2(x) sin^2(x) dx

2:21

2 ways: trig integral cos^2(x) sin^2(x) dx

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U Penn: Assuming g(x) is a continuous function whose derivative g'(x) is also continuous, evaluate .

0:37

U Penn: Assuming g(x) is a continuous function whose derivative g'(x) is also continuous, evaluate .

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

2:01

Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

1:09

2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

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2 ways: integral ∫ 5x dx

1:07

2 ways: integral ∫ 5x dx

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

1:56

multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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JHU: integral ∫t^3 e^(t^2) dt

1:06

JHU: integral ∫t^3 e^(t^2) dt

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2nd way: trig log Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(x sin^2(1+log(x)) dx

0:43

2nd way: trig log Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(x sin^2(1+log(x)) dx

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2nd way: trig log Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec(x)/ln(sec(x)+tan(x)) dx

1:09

2nd way: trig log Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec(x)/ln(sec(x)+tan(x)) dx

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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

1:42

Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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2 ways: trig integral cos^2(x) sin^2(x) dx

2:21

2 ways: trig integral cos^2(x) sin^2(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sec^2(x)/sin(2x) dx

0:57

2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sec^2(x)/sin(2x) dx

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

3:19

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

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sq root integral ∫1/√...√√x dx with n √

1:20

sq root integral ∫1/√...√√x dx with n √

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3rd way: trig log integral ∫(a+ln(sin(x))/tan(x) dx

1:30

3rd way: trig log integral ∫(a+ln(sin(x))/tan(x) dx

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2nd way: Evaluate trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/cos^(2/5)(x) dx

1:32

2nd way: Evaluate trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/cos^(2/5)(x) dx

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