Recent content by unf0r5ak3n

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    How to Calculate the Empirical Formula of a Hydrate?

    Homework Statement Calculate the empirical formula of each hydrate Homework Equations Mass of MnSO4 x XH2O... -Hydrate = 1.8g -Anhydrous salt = 1.59g -Water = .21g The Attempt at a Solution I thought you would set 1.8g MnSO4*XH2O((Molecular mass of MnSO4)/(Molecular mass of...
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    Vertical Tangent Lines to an Ellipse

    oh wow i didnt realize that thanks
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    Vertical Tangent Lines to an Ellipse

    Homework Statement Consider the curve x^2+xy+y^2=27 Homework Equations Find all points on the curve where the lines tangent to the curve are vertical The Attempt at a Solution I found dy/dy = (-2x-y)/x+2y) and I think I found the equations of lines visually to be x=6 and x=-6...
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    Original equation of a derivative graph

    were given f'(x) as a graph I'm assuming we have to find the equation of that function then find the anti-derivative
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    Original equation of a derivative graph

    Homework Statement Find the f(x) when given f'(x) Homework Equations the x intercepts are at (-8,0) (-2,0) (6,0) the y-intercepts is at (0,-6) and the derivative at zero appear to be at (-6,6) and (3,-10) The Attempt at a Solution I found the general equation by factoring the...
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    Undergrad Largest rectangle inscribed in an isosceles right triangle

    We have just begun this topic and I'm really confused about how to approach questions, is there any trick or guideline for doing so? Ex: Consider an isosceles right triangle whose hypotenuse is the x-axis and whose vertex is on the y-axis. If the hypotenuse is 2 units long, we'd have...
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    Domain of f(x) = sqrt(1-sin(x)): Understanding and Calculating

    so the domain is all real numbers except when sin(x)<1?
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    Domain of f(x) = sqrt(1-sin(x)): Understanding and Calculating

    Homework Statement let f(x) = sqrt(1-sin(x)) Homework Equations What is the domain of f? What is the domain of f'(x)? The Attempt at a Solution I understand that the domain of f is all real numbers not including every increment of 90 degrees, but I am not sure how to state that...
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    Undergrad Derivative of sqrt(1-sin(x)) using the chain rule

    if u = 1-sin(x) then du/dx = (1/2)u
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    Finding constants a and b so ƒ(x) is continuous and differentiable

    ah thank you i think I am understanding it now but I am confused about part c.
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    Finding constants a and b so ƒ(x) is continuous and differentiable

    for b) i said if a and b = 1 then lim of x^2+x as x approaches 1 is 2 which would make it a continuous function because the left and right limits are equal at f(1), is that correct? I am a bit confused with left and right hand limits
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    Finding constants a and b so ƒ(x) is continuous and differentiable

    the limit of abs(x-1)+2 is 2 and the limit of ax^2+bx is 5 so the limit is not continuous right?
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    Undergrad Derivative of sqrt(1-sin(x)) using the chain rule

    sorry I meant equivalent to