Recent content by mendem03

  1. M

    How Do You Calculate the Density of Earth's Core Given Its Mantle Density?

    Homework Statement Assuming the Earth to be comprised of only a uniform density mantle and a uniform density core and the mean density of the mantle to be 4700 kg=m3, determine the mean density of the Earth's core. Take Earth's radius to be 6400 km and the radius of the core to be 3500 km...
  2. M

    Need help finding energy absorbed by perfect black sphere

    Homework Statement Suppose we place a perfectly black sphere (i.e., a sphere that absorbs all energy it receives) with radius 2500 km at a distance of 5.2 AU from the Sun. How much energy does the sphere absorb in one second? energy emitted by sun is given to be 3.90 * 10^26 Homework...
  3. M

    How to approach a summation problem with alternating terms?

    I want to know how to start this problem, but don't want the answer. If someone can just help me get started or give me a tip on how to approach these kinds of questions
  4. M

    Discover the Solution to Achieving Your Goals

    I need help help to figure out how each of those steps were achieved
  5. M

    I have a question regarding some steps in a solution

    2^(n +1) -2+1 / 2^(n+1) this just means that: 2 to the power of (n+1) -2+1 divided by 2 to the power of (n+1) the next step is 2^(n +1) -1 / 2^(n+1)
  6. M

    I have a question regarding some steps in a solution

    Question 1 step 1 =(2^n-1)/2^n + 1/2^(n+1) step 2 =2(2^n-1)/2^(n+1) + 1/2^(n+1) step 3 =2^(n +1)-2+1/2^(n+1) I don't know how steps 2 and 3 where achieved can someone please help me
  7. M

    Help with a few questions about spivak calculus

    Thank you for replying and helping me out I have not proven 1 greater than 0 before but can you give me a pointer on how to prove that or another way of doing this proof
  8. M

    Help with a few questions about spivak calculus

    Question if a < b, then -b < -a proof if a < b then a-b<0 and b-a>0 so a-b<0<b-a so -b<-a Question if a<b & c<0, then ab>bc proof if ac<ab then ab>bc then ac<ab>bc then ac>bc Question if a>1 then a^2>a proof a*a > 1*a lemma 1: a*a = a^2...
  9. M

    Strategies for Tackling Proofs in Spivak Calculus

    Ok let me explain everything I am currently going to University of Toronto in first year I am in the computer science program and the courses we are recommended to take are: mata31h3 calculus 1, mata37h3 calculus 2, mata27h3 linear algebra 1, csca08h3, csca65h3 and another computer science...
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    Strategies for Tackling Proofs in Spivak Calculus

    I am in the computer science program and this is a recommended course. I don't know about the second book but I'm going to guess we will be using that one for calculus 2 in 2nd semester
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    Strategies for Tackling Proofs in Spivak Calculus

    We are studying chapter one and I have never done this kind of math before
  12. M

    Strategies for Tackling Proofs in Spivak Calculus

    I am having a really difficult time doing these proofs and want to know how i need to confront them and if there is a good strategy to solving these. I am in first year university. I understood the problem the prof went over but when i try to do on my own, I am just not able to prove them. I...
  13. M

    Transfer from physics to engineering

    I have a question I got rejected from my engineering courses but was given an alternate offer to admit into sciences. So if I except the offer can i transfer to an engineering University after one year because I really want to get an computer engineering degree or an astronomy degree . The...
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