Mathematics

Show that log(n^3) is O(log(n)), then show that log(n^2+10) is also O(log(n)).

I am stuck on this problem for my class. Any help is greatly appreciated.-Fact: IF lim( as x---> a)|f(x) / g(x)| exists and is a finite number, THEN f(x) = O (g(x)), as x ---> a. Now, log(n^3) is O(

Perimeter of a rectangle52 inches, length 14 inches, what is the width

Trying to help kid please help-Perimeter = 2(length + width) 52 = 2(14+w) 26 = 14+w w = 26 - 14 = 12 inches-2(L+w) = 52 L+w = 26 14 + w= 26 w = 12 inches Jen

Would someone be able to show me all the steps to finding the distance of P to the origin

The example problem is this: Let P=(x,y) be a point on the graph y=x^2-10 I looked at the steps in my book and I know I should use the distance formula to start off: d=sqrt x^2+(x^2-10)^2.But the step

A bill for $74 was paid with $5 notes and 1$ notes. 50 notes were used. How many $5 and $1 were used

How do I solve this? I dont know how to make the equation out of it.-Let x be the amount of 1 dollar bills and y the amount of 5 dollar bills. There will be two equations: 1. x + y = 50 (how many bi

Can you help with this problem

Draw a circle with points A, B and C. Draw a cord from A to B and another cord from C to B. The measure of angle ABC is 40 degrees and the measure of AC = 12 pi. How do I find the area of the circle?

Two angles are complementary. the sum of the measure of the first angle and half the second angle is 86.5 degr

two angles are complementary. the sum of the measure of the first angle and half the second angle is 86.5 degrees. find the measure of the angles small angle___ other angle___-x = 1st angle 90-x = 2n

Math help! Just 1 question. Making an equation.

The fixed cost of a product is 4000 whereas its variable cost per item is 15. Question: What is the expression for the total cost for x items?-so.. 15x=4000? 4000/15=x? or just 15x because the first

Differential equations? solve using power series

Im having problems with this one differential equation, can someone help me out? y-2xy+6y=0 The equation has a solution which is a polynomial of degree 3 with the leading term 8x^3-Assume that y = Σ

Find the exact value of:

cos^2(pi/6)/sec^2(pi/4)sin(pi/3) How would I approach this?-cos(pi/6) = sqrt(3)/2 (look at an equilateral triangle) so cos^2(pi/6)=3/4 sec^2(pi/4) = 1 / cos^2(pi/4) = 1 / (1/2) = 2 sin(pi/3) = cos(p

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six orang

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit?-3o+5l=10.26 6o+4l=11.16 Double the first

Linear algebra matrix inversion

(A/2)^T = 1-2 -11 the 2x2 matrix is to the power of -1, (I dont know how to type that sorry) how would you go about doing this?-Note that 1/2 is just a number, when you distribute the tranpose, noth

Easy linear algebra question

6-2 -3k this matrix is only invertible if and only if k doesnt = ? im asking a lot of questions today, but I am oh so lost please help thanks :)-Take the determinant and set it to 0 6k - (-2)(-3)

Applications of Rational Functions Help!!!! PLEASE

16. The following rational function in hundreds models the population of a certain species of animal, where t is measured in days. What number does the population approach in the long run? p(t)=10t^3+

Multiply one equation to eliminate a variable

show all steps 2x+5y=11 4x+3y=1-2x+5y=11 4x+3y=1 Lets make the x cancel out since youll only need to multiply one equation. First, multiply this entire equation by -2 -2(2x)+-2(5y)=-2(11) -4x - 10y

How do u change (-6sin(6x))/(cos^2(6x)+1) into -(12 sin(6x)) / (cos(12x) + 3)

how do u change (-6sin(6x))/(cos^2(6x)+1) into -(12 sin(6x)) / ((cos(12x) + 3) ? They are equal!-Use the ID cos²Θ = 1/2 + (1/2)cos(2Θ). So cos²(6x) = (1/2) + (1/2)cos(12x). Then multiply numerator an