Recent content by jorgegalvan93

  1. J

    IUPAC Rules for Alkene Nomenclature: Naming (Z)-3-methyl-3-butene and Isobutene

    Homework Statement Give the name for the given molecule Homework Equations Following IUPAC rules for alkene nomenclature... The Attempt at a Solution (Z)-3-methyl-3-butene Might be an isobutene? Any help is well appreciated, thank you!
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    Find the length of the curve from 0 to 1

    Homework Statement find the length of the curve… r(t) = <4t, t^(2) + 1/6(t)^(3)> from 0≤t≤1 Homework Equations L(t) = ∫a to b √(dx/dt)^(2) +(dy/dt)^(2) + (dz/dt)^(2))dt The Attempt at a Solution After taking the derivative of all components of the curve and finding the magnitude…...
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    Find the Maclaurin series for the following function

    Homework Statement f(x) =ln (1-x^3) / (x^2) Homework Equations Using the maclaurin series ln (1 +x) = Ʃ (-1)^(n-1) (x^n)/(n) The Attempt at a Solution the maclaurin series for the function i get is [(-1)^(2n-1) (x)^(n)] / (n) however, the answer according to my prof is...
  4. J

    Object oscillates such that displacement is x = (.222)sin(314t)

    Homework Statement Object is oscillates such that displacement is x = (.222)sin(314t), where t is in seconds. In one period, the objects moves what distance? Homework Equations What is the relationship between displacement, amplitude and distance? The Attempt at a Solution The...
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    To which natural frequency does wavelength equal to L1

    Homework Statement The length L1, is not the wavelength of the fundamental frequency of the string. With the tension equal to F1, to which natural frequency does the wavelength equal to L1 correspond? Homework Equations I was reading online, and found that when a string vibrates at...
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    Find the hydrostatic pressure on the bottom of the aquarium in lb/ft^2

    Homework Statement An aquarium 5 ft long, 1 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.) (a)Find the hydrostatic pressure on the bottom of the aquarium in lb/ft^2 Homework Equations hydrostatic pressure = ρgd = δd ρ = 62.5...
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    Determine whether the integral is divergent. If convergent, evaluate.

    ln(v+8)/ln(v+1) ? Would I then have to use L'hopitals rule?
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    Determine whether the integral is divergent. If convergent, evaluate.

    Homework Statement ∫ a= 2 b = ∞ (dv)/(v^2+7v-8) Homework Equations I have attempted the problem and am confused as to why the integral is not divergent. The Attempt at a Solution I integrated the function by using partial fractions and came up with a result of...
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    Find the volume of the solid generated by rotating the region bounded

    That's the method I used. Where f(y) = 1 and g(y) = (y/3)^(1/4) I have a 2 next to ∏ because I am using the symmetry of the function. I thought it would be much simpler that way. But I suppose I can find the volume without using symmetry. By doing that, f(y) = 2 and g(y) = 2x? I'm confused as...
  10. J

    Find the volume of the solid generated by rotating the region bounded

    Homework Statement Find the volume of the solid generated by rotating the region bounded by the x-axis, the curve y=3x^4, and the lines x=1 and x= -1. The axis of rotation is the y-axis. Homework Equations Washers method: V=∏∫ [(R)^2 - (r)^2]dr x = (y/3)^(1/4) The Attempt at a...
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