Mathematics

Writing this radical using rational exponents

(5 4√10x)^3 The 4 is tiny inside the square root! This is what I did so far ( 5 (10^ 1/4 x ^1/4) ^3 125 10^3/4 x^3/4 I dont know if Im doing it right.-if by saying 4 is the tiny inside the square

Triangle problems in math

Please help me! Im having some difficulty with these problems. Any help would suffice. Thank you! 1: How many non-congruent right triangles with legs of integral lengths have a hypotenuse of length 1

Find the values a, b and y so the function f(x)= x^3 + ax^2 + bx + y has a critical point at (1,5) and..

inflection point at (2,3).-A critical point is a point where the derivative of the function equals 0. So, f(1)=0. Differentiating f(x) with respect to x yields 3x^2+2ax+b, so substituting 1 for x yiel

Help with math problems!!!!

Merl is a canadian exchange student in China, and he currently has 12,000 yuan in his bank account. If the exchange rate changes from 1 Canadian dollar = 6.64 Chinese yuan to 1 canadian dollar = 6.78

Arghh!! can someone explain this algebra

use the log of a quotient property to rewrite the expression below. log[5](1/8). I got this answer1-log[5](8)-dividing logs is the same as subtracting log[5](1/8) means log[5]1 - log[5]8 5 to th

Use integration by parts to evaluate the following indefinite integrals.

(a) ∫ √x
ln xdx (b)∫ x/cos^2 xdx (c)∫ lnx/x^3 dx (d)∫ ln(x^2 + 1)dx Please show work, thanks!-∫ √(x)
ln(x) dx u = ln(x). . . . dv = x^(1/2) du = (1/x) dx . v = x^(1/2 + 1)/(1/2 + 1) ====> (2

Logarithmic function Stumped!!

Does anyone know how to figure this out?? The magnitude M of an earthquake can be calculated by the formula M=log[base 10] (A/(A[base0]) where A is the maximum amplitude of a seismic wave and A[base0]

Compute the antiderivatives of the following functions

(a) f(x) = x(x + 1)(x + 2) (b) f(x) = (x^2 + x + 1) / √x (c) f(x) = (√x + 1)(x - √x + 1) (d) f(x) = [3√ x + (1/ x3√x) ]^2 Please show work, thanks!-∫ x(x + 1)(x + 2) dx ∫ (x^2 + x)(x + 2) dx ∫

Harmonic Motion Trig Question

A simple pendulum 40 inches in length is oscillating in harmonic motion.The bob at the end of the pendulum swings through an arc of 32 inch ( far left to far right half cycle ) in about .6 seconds wha

Statistics/Standard Deviation Word Problem

Hello! Im having problem with an equation & appreciate all the help I can get. Thanks in advance! Question: A student scores a 60 on a mathematics test and an 80 on a science test. The data items for

Mathematics exponents problem

How does 2^x / 6^x = 2/6 what rule or law is this?-2^x/(6^x) does not equal 2/6. (2^x)/(6^x) = (2/6)^(x) = (1/3)^(x) = 1/(3^(x))-No problem, Bill.Report Abuse-It doesnt. For instance, with x=2 you g

Help about limits, please!!!

How to calculate this limit: lim(x→2^- )⁡ ((g(x)-g(2))/(x-2) where f(x)={(x, if x≥2 and (x²)/(2), if x ps: 2^- means that the limit is to the left.-I imagine you meant to type g(x) instead of f(x). I

Pre Algebra help?? (10 POINTS!)

Simplify the expression. 4.)6(6) +6(4) 5.) (10)9 - (10)11 6.) 3x + 3x 7.) 2c + 2 + 5c Use Distributive Property to multiply. 8. 5(b + 8) 9.(4m + 1) 10. Name the coefficients in the expression 4x +9 -

HELP i'm stuck with my maths homework :/

So nth term.. the question is The nth term of a sequence is given by each of the rules below. Use this to write down the first 6 terms of each sequence: A. 6n-2 B. 10n+3 C. 4n+1 D. 8n-3 Thanks :)

What is the equation of this parabola

zeros are at (-5,0) and (9,0), the vertex is (2,-2) what is the factored form of this parabola? and standard form?-The zeros tell you that it factors as (x+5)(x-9), but you have to find the coefficien