
How to solve 3^2x + 3^x - 21 = 0 ? | Math Help Forum
Jan 11, 2015 · Not sure how to do this one. This is what I've done so far. 3^2x + 3^x - 21 = 0 3^x (3^x +1 - 21) = 0 3^x (3^x -20) = 0 am I even on the right track?
rate of change of volumes - Math Help Forum
Apr 24, 2008 · A soda glass has the shape of the surface generated by revolving the graph of y=7x^2 for 0<=x<=1 about the y axis. Soda is extracted from teh glass through a straw at the rate of 1/2 cubic inch per second. How fast is the soda level in the glass dropping when the level is 3 …
Problem from Lilavati - Math Help Forum
Sep 2, 2010 · A beautiful maiden, with beaming eyes, asks me which is the number that, multiplied by 3, then increased by three-fourths of the product, divided by 7, diminished by one-third of the quotient, multiplied by itself, diminished by 52, the square root found, addition of 8, division by 10 gives the number 2'"
Evaluate efficiently | Math Help Forum
Sep 18, 2011 · p(x) = 1 - x^3/3! + x^6/6! - x^9/9! + x^12/12! - x^15/15! as efficiently as possible. How many multiplications are necessary? Assume all coefficients have been computed and stored for later use. So I know the answer is 7 multiplications by looking in the back of the book.
Systems of Linear Equations Word Problems | Math Help Forum
Feb 21, 2016 · a/2 + 2b/3 = 30600 I think the first equation is set up properly but not the second. If someone could point me in the right direction for setting up the second equation I should be able to figure it out. 2. The death rate per 100,000 people y in year x from heart disease and cancer is approximated by the equations: Heart Disease: 13.6x + 2y = 644
Riemann sum - Math Help Forum
Nov 21, 2006 · Consider the function f(x) = \frac {x^2}{3} - 9 In this problem you will calculate \int_{0}^{2} ( \frac {x^2}{3} - 9) \,dx by using the definition...
Show x^a log x is integrable on (0,1] - Math Help Forum
Feb 21, 2009 · Let a > -1. Show that x^a \log a is Lebesgue integrable over (0,1]. ... Start date Feb 21, 2009; Tags ...
This is probably really simple but they didn't word it right
Sep 16, 2007 · The perimeter (the sum of the side lengths) of the triangle above is 52 units. Write and solve an equation based on the information in the diagram. Use your solution for x to find the measures of each side of the triangle. Be sure to confirm that your answer is …
x^3 - 4x^2 + kx = 0 | Math Help Forum
Dec 17, 2006 · The roots of the quadratic x^2-4x+k are (from the quadratic formula): x=[4+/-sqrt(16-4k)]/2 That this has one root (of multiplicity 2 ie two equal roots) when the discriminant 16-4k=0, or k=4, when the roots are both 2. So when k=4 the roots of the original cubic are 0, 2, 2.
Find another point on the curve with the same tangent.
Feb 20, 2011 · You have to show that there is another x where that same tangent line is tangent to the curve. That means both that the values are the same and that they have the same slope there. Specifically, you need to find an x such that 8x^4+ 40x^3+ 26x^2- 63x+ 24= -3x+ 6 and 32x^3+ 120x^2- 52x- 63= -3 which is the same as 32x^3+ 120x^2- 52x- 60= 0.