Simplify the expression X + 3/x - 5 = 56 - 3x / x2 - 13x + 40
All variable in the following exercises represent positive numbers. Simplify the sum and differences. Give exact answers. Please see the attached file for the fully formatted problems.
1. If gcd(m,n) = 1, then φ(m,n) = φ(m)φ(n). Use this to give a proof that φ(n) = n Π(1 - 1/p) p/n 2. Prove that d(n) is odd iff n is a perfect square. 3. Prove that σ(n) ≡ d(m)(mod 2) where m is the largest odd factor of n. 3.(2nd Part) If σ(n) = 2n, n is a perfect number. Prove that if n is a perfect number , then ∑1/d = 2. d/n 4.Evaluate σ(210), φ(100) and σ(999). 5.Evaluate d(47), d(63) and d(150).
Arithmetic Functions Combinatorial Study of φ(n) 1. If gcd(m,n) = 1, then φ(m,n) = φ(m)φ(n). Use this to give a proof that φ(n) = n Π(1 - 1/p
How is (4)^ -5/2 = 1/32?
I need help solving the inequality w^2 + 3w < 18. I don't know how to state the solution set and graph it on a number line.
I am trying to find the vertex, x and y intercepts of the quadratic function f(x) = x^2 - 5x - 6
I am trying to solve and check for extraneous solutions x + 2 = root x^2 + 6
I need some help solving for "a" E = PL/ae
I am trying to solve this problem and need an explanation please. b + 17/b^2 -1 - 1/b + 1 = b-2/b-1
X/x^2 - 2x-3 - 3x/x^2 -9
I need help performing this operation: 22x^2y^3z * 6x^5/33y^3z^4
I need to factor this problem completely: x^3 + 6x^2 + 9x
I am trying to factor completely this problem: 3h^2t + 6ht + 3t
I need help factoring completely: x^3y + 2x^2y^2 + xy^3
I am trying to factor out the GCF in 56x^3y^5 + 64x^4y^3 - 16x^5y^4
I need help performing computation with scientific notation (3.5 x 10^35)(2.2 x 10^10)/4.4 x 10^12
How do I simplify and express without negative exponent? -22w^-4/2w^-2
10x^2y^4 + 4x^4y^2 - 16x^6y^3/-2x^2y^2
I am trying to use the distributive property to find the product of (and combine terms for) this problem: (y^2 z - 3y^4)(y^2 z + 2x^2 - y^4)
A person's revenue "R" (in dollars) on the sale of "X" fruitcakes is determined by the formula R = 50x - x squared. Her cost "C" in dollars for producing "X" fruitcakes is given by the formula C = 2x + 40. For what value of "X" is the person's profit positive? (Profit = revenue - cost).
Find the first derivative of the function. 1.) y= ln x^2 2.) y= ln sq rt x^4- 4x 3.) f(x)= x^2 ln x 4.) y=ln x/x+1
Use the properties of logarithms to write the expression as a sum diffrence or multiplication of logarithms 1.) ln 2/3 2.) ln xyz 3.) ln sq rt x^2 +1 4.) ln 2x/ sq rt x^2 - 1 write the expression as the logarithm of a single quantity. 5.) ln(x - 2) - ln(x+2) 6.) 3 ln x +2 ln y- 4 ln z 7.) 3[ln x+ ln(x+
Find the slope intercept form of a linear equation when the line crosses the x-axis at x=2 and the y-axis at y=3.
Suppose that you have done some mathematical modelling. This has produced a differential equation which you have solved by assuming a power series solution. The power series you have found is the following.... (a) What is the radius of convergence of the power series? (b) Use Mathematica to plot the partial sums....
Determine whether the following binary operation give a group structure on the given set. If not, give all reasons they fail and supply counter-examples. a*b = ab in Q.
Modern Algebra Group theory Determine whether the following binary operation give
Please help with the following problem. This problem is from Advanced Calculus II class. It is also an introduction to real analysis. Consider the series n = 1 to infinity 1/( 1 + n^2 x) (a) For what values of x in R does the series converge absolutely? (b) On what intervals of R does it converge uniformly? (c) On wh
Argue that every finite extenstion field of R is either R itself or is isomorphic to C. Note: R is set of all real numbers C is set of all complex numbers
A toy rocket is launched from the ground so that its distance in feet above the ground after t seconds is s(t) = -16t squared + 208t. I am trying to determine the maximum height it reaches and the number of seconds it takes to reach that height.
Can you please help me finding the vertex and intercepts for this equation, and whether it opens up or down? y + -3x squared + 6x
I need help solving this inequality and using interval notation to solve it. x - 4/x + 5 > 0