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About David Hemmer
(Top Expert on this page)

Expertise
I can answer almost any question from undergraduate mathematics courses.

Experience
Mathematics professor.

Education/Credentials
Ph.D. University of Chicago

   

You are here:  Experts > Science > Mathematics > Advanced Math

Questions Answered By Expert  David Hemmer 
In Category  Advanced Math

SubjectDate Asked

Can this be solved?10/8/2008
  Q: I tried every logarithm and convergence trick I know and still came up empty. Can this equation be ...
  A: no it can't. Consider the function: f(t)=1/t + 1/t^2 +1/t^3 + 1/t^4 +1/t^5 You are aksing if the ...
quadratic funtions10/7/2008
  Q: hey there would really appreciate if you could help me out. the question is: Determine the value of ...
  A: The x axis is y=0. If you look at the quadratic formula you see a plus or minus the square root of ...
linear transformations10/6/2008
  Q: two 2x2 matrices A= (0.5,-sqrt3/2)(sqrt3/2, 0.5) B= (1,2)(0,1) a) calculate matrix powers A^2 and ...
  A: The linear map given by your matrix A is just a rotation around the origin ccwise of 60 degrees. The ...
Permutation of increasing numbers10/2/2008
  Q: If I have a pool of N numbers, and P positions, where P<N, how many ways can I fill the positions ...
  A: Well I hope I understand the question. So for you want P numbers in a row, nondecreasing and all in ...
bearings and azimuths6/30/2008
  Q: good day, i am having trouble understanding the conversion of bearing to azimuth and azimuth ...
  A: This should be quite easy, see ...
Unit Cancellation6/15/2008
  Q: Here is myFind the kilowatt-hours of electricity used by a light bulb with a rating of 75 watts if ...
  A: just write everything as fractions qand cancel the units if it helps you. 130 hours * 75watts ...
Plane Trigonometry8/31/2007
  Q: I'm trying to solve the following problem and am not really sure how to set up the triangle. A ...
  A: As a hint try extending the vertical side representating the antenna down until you have a right ...
Proofs8/29/2007
  Q: Can you please help me withe following: Is it True or False and prove it: 1)A+BC=(A+B)(A+C) i ...
  A: You are right the first equation is false. To show it's false you just need to find a single choice ...
mathematics8/29/2007
  Q: x-1-2*sin(pi*x)=0
  A: This equation is x=1+2sin(Pi*x) First of all notice that sin of anything is always between -1 and ...
Ages8/6/2007
  Q: Hey David, this is more of a riddle than a math problem (even though it deals with math). I thought ...
  A: Assuming you have typed the puzzle exactly as written then your answer is wrong. According to you, ...
Turn Radius8/6/2007
  Q: I have been working on a problem trying to solve the turn diameter of an aircraft in a steady state ...
  A: I'm not sure how much help I can be to you on this one. I'm not even sure how your equations (1) and ...
How many unique combinations8/3/2007
  Q: Can you tell me how many unique combinations there are if you have 8 possible items but only 5 items ...
  A: The kind of thing you want to count is called a multiset. You are looking for the number of 5 ...
Pre-Calc8/1/2007
  Q: An equation of the line tangent to the graph of Y=(2x+3)/(3x-2) at the point (1,5) is...?
  A: This doesn't look like precalc, it looks like calculus. You need to find the slope of the tangent ...
algebra7/31/2007
  Q: How to solve Quadratic equation Using Factors
  A: If you have ax^2+bx+c=0 and you can factor it, then you can set each factor=0 and solve. This is ...
differentiation problem7/29/2007
  Q: this is a first year undergraduate question from a calculus paper, just having trouble with it, any ...
  A: g'(t)=-2/t^3. I assume you can plug in -1, 2 and sqrt3. So let's figure out how to get g'(t) from ...
maths subject7/16/2007
  Q: I am trying to find out the name of a particular mathematics subject. But I do not know what it is ...
  A: There's no particular name for such a branch of mathematics, indeed interesting sequences can arise ...
Trigenometry proofs7/15/2007
  Q: I am having trouble proving the following identity. Any hints or ideas would be greatly ...
  A: I don't see what you did but you didn't do it correctly. You should get: (1+ sin/cos + cos/sin)(cos ...
logarithmic and exponential variables7/13/2007
  Q: how would one solve deductively an equation in one variable where x occurs both in a logarithm and ...
  A: There is no good way to do this, i.e. the solution does not have an answer in closed form. To write ...
Prime Numbers & Fractions7/10/2007
  Q: Can a fraction be a prime number? If not, why, and if none are prime numbers, are they considered ...
  A: They are rational numbers, I would not call them composite or prime. You might want to call ...
Prime Numbers & Fractions7/10/2007
  Q: Can a fraction be a prime number? If not, why, and if none are prime numbers, are they considered ...
  A: No, "prime numbers" are a subset of 1,2,3,4,5,6,7 ... which have only 1 and themselves as factors. ...
series and induction6/11/2007
  Q: I have a math portfolio due in a few days and the teacher's like this is going to be our final ...
  A: 1. Your answer is right, there is nothing to prove. You are just giving a formula that matches the ...
Vectors6/6/2007
  Q: I was wondering if you could please tell me hoe to change point normal form of a vector into vector ...
  A: Vector form: (x-1,y-4,z-5)*(7,1,4)=0 the * is a dot product. This is just saying that for any ...
Math5/14/2007
  Q: On Friday, February 20, 2004, the Ohio Bureau of Motor Vehicles (BMV) unveiled the new license ...
  A: The total number of plates is: 26*26*26*10*10*10*10 since there are 26 choices for a letter and 10 ...
math/algebra5/13/2007
  Q: Hemmer. I need some help with some homework. Yes, you're going to be doing my homework...haha...if ...
  A: 1. THe discriminatnt is b^2-4ac which in this case is -15 so there are no real roots, two imaginarys ...
Trig5/13/2007
  Q: y=Sin1/2X how do you do this and graph this
  A: It's just the same as the graph of y=sin x except it is stretched out in the horizontal direction. ...
Gradient/intercept5/7/2007
  Q: .i wanted to check and correct if i made any mistake...or approached it wrongly. Determine the ...
  A: To find the y-intercepts just set x=0 and solve for y. Thus the y-intercepts are: (0,-4) and ...
volume of odd shape5/7/2007
  Q: i have a object with the same shape as the top of a wine glass or a rounded off frustum. It is 8.5 ...
  A: Unless you have aspecific formula for the shape I cannot get the volume exactly. The volume of s ...
Pre-Calc5/6/2007
  Q: I need help finding the inverse function of f(x)=square root of (x-2). Thanks
  A: Just interchange x and y and then solve for y. y=sqrt(x-2) x=sqrt(y-2) x^2=y-2 y=x^2-2 So the ...
logarithms5/3/2007
  Q: I need help writing -2log3(1/x)+(1/3)log3(square root of x) as a single logarithm. Thanks!
  A: I am assuming the 3 in your problem is the base of the log so I will just write log instead of ...
non-associative mathematics5/2/2007
  Q: Can you give me any examples of mathematical entities that do not obey the associative law? (A*B)*C ...
  A: You question is a little misphrased, it's not a question of which "entities" obey the associative ...
modern geometric4/19/2007
  Q: im college student and i got question and expected will come out in exam, thank you sir.. the ...
  A: This will be very hard for me to answer without drawing pictures. I suggest you visit the website: ...
Vector problem4/18/2007
  Q: Any chance you could show me how its done? Any help appreciated. Cheers Scott 1.Let u=2i-3j+4k, ...
  A: u=(2,-3,4) v=(1,-1,2) a. The cross product is perpendicular to both. In this case it is (-2, 0, 1) ...
Trigonometric equation4/18/2007
  Q: The ferris wheel at an amusement park measures 100 ft in diameter. When running at full speed, the ...
  A: I suggest you draw a large picture of the Ferris wheel 4 feet off the ground. It has a radius of 50. ...
differentiation question - calculus4/17/2007
  Q: hallo sir can you help me? im from malaysia, i got an exercise but it's too difficult to solve, so i ...
  A: Let x be the number of trees. The total output per tree is ...
Precalc Analytic trig4/11/2007
  Q: I learn a bit differently So I will need the "why we do this" answered along with the solving of the ...
  A: tan3x(tanx-1)=0 When you multiply two things together and get 0 then one or the other must be zero. ...
Precalc Analytic trig4/11/2007
  Q: I learn a bit differently So I will need the "why we do this" answered along with the solving of the ...
  A: I think you better send me the question above and be careful where your parenthesis are, because 0 ...
Advanced Algebra4/7/2007
  Q: I don't know how to write out the problem out on my key board so I'am going to write it out in ...
  A: When you take ln of each side you will get: (2x+1)ln5=(4x-1)ln3. No just expand out and solve it ...
complex numbers3/29/2007
  Q: I need to substitute z = x + yi into z^5 = 1. Then expand on left side. Then equate the real parts ...
  A: So do it! You know i^2=-1 so use the binomial theorem. ...
re: polynomial factorisation3/28/2007
  Q: I am having trouble remembering the steps in factorising numbers/pronumerals raised to powers 3 and ...
  A: Factoring polynomials is not easy! One helpful fact to know is the following theorem: Theorem: ...
math problem3/26/2007
  Q: is my reasoning correct? solve for x: 2^2x-3(2^x)-4=0 2^x*(2^x)-3(2^x)-4=0 2^x(2^x-3)=4 ...
  A: Your answer worked out but the reasoning at the very end is wrong. Just because you have ...
Isomorphism3/13/2007
  Q: Can you please help me in proving the follwoing: prove that isomorphism is an equivelance realtion ...
  A: Suppose G is a group. The map i(g)=g is an isomorphism from G to itself so the relation is ...

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