Recent content by unf0r5ak3n

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    Thermal Decomposition of Hydrates

    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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    Modeling and Optimization

    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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    Derivatives of Square Root Functions: Understanding the Chain Rule

    if u = 1-sin(x) then du/dx = (1/2)u
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    Function ƒ(x): Continuity & Differentiability

    ah thank you i think I am understanding it now but I am confused about part c.
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    Function ƒ(x): Continuity & Differentiability

    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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    Function ƒ(x): Continuity & Differentiability

    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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    Derivatives of Square Root Functions: Understanding the Chain Rule

    sorry I meant equivalent to
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