In 3 years, 30% of a radioactive element decays. Find its half-life.

In 3  years, 30%  of a radioactive element decays. Find its half-life.

2cos (3t) = -1

Help!! Find all solutions. Please show steps.   Thank you!

11/21/15

find the partial fraction decomposition of the equation.

(4x^2-x-2)/(x^4+2x^3)   find the partial fraction decomposition of the equation.

11/21/15

asymptote F(x)=7+9/(x-3)

horizontal asymptote of F(x)=7+9/(x-3)?

11/20/15

E^(4*x-8) include +C

Antiderivatives E^(4*x-8) include +C

11/20/15

Linear Approximation Help!

Let g(x) = Integal of -25 to x^2 f(t) dt Use the techniques of linear approximation to approximate g(4.8) given the following information about f:f is continuous on (-00,00)f is an odd... more

real and imaginary zeros

Find all the real and imaginary zeros for the polynomial function.  f(x)=x^2+8x^2+5x-14 What are the real and imaginary zeros of (f)=x^3+8x^2+5x-14?     help is greatly appreciated, thank you!

Finding the radius of a circle

What is the radius of a circle in which an angle of 3 radians cuts off an arc length of 30cm?

11/18/15

x^(2/3) + 2 = 3x^ (1/3)

x^(2/3) + 2 = 3x^ (1/3)

Use descartes rule of signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function: f(x)= 9x^7

Use descartes rule of signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function:f(x)= 9x^7 + 3x^5 - 8x^3 + 7x - 1

what is the antiderivative: 3e^x + 7sec^2x

this problem has to do with anti derivatives and integrals. please help

11/18/15

solve y= x/(1+ |x|) for x

How to solve this containing modulus of x.

how to solve this synthetic division problem n^5+11n^4+24n^3-24n^2-44n-41/n+6

i want to know how to sovle this synthetic dividion problem. 

11/17/15

Find the dimensions of the garden that minimize the cost

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $30/ft and on the other three sides by a metal fence costing $10/ft. If the area of the garden is 22... more

11/16/15

Standard form into Vertex form

Put the function y = 7 x^2 + 14 x + 18 in vertex form f(x) = a(x-h)^2 + k and determine the values of a, h, and k.

word expression using 8×-0.25

7th grade math

11/16/15

volume of sphere

Show that where the radius of a circle of  a sphere is doubled, its volume of the sphere increases by 8 times.

11/15/15

Simpson's rule

Use Simpson's rule to estimate using 4 intervals: ∫(from 1 to 3) e^x^2 dx

11/15/15

Find the completely factored form of f (x) = 2x^4 - x^3 - 13x^2 - 6x IF (x+2) is one of the factors

Find the completely factored form of  f (x) = 2x^4 - x^3 - 13x^2 - 6x IF (x+2) is one of the factors

Differentiation Calculus Exponentials

Differentiate y=(x2+1)e((-x^10)+3x)

11/15/15

logarithm applications

polonium 210 has a half life of 140 days. Suppose a sample of the substance has a mass of 300 mg. a) find the function that models the amount of the sample at time t. b)find the mass remaining... more

A home owner wants to fense 3 sides of his rectangular yard. She has 120 feet of fencing available. What dimensions will yield the maximum area?

A home owner wants to fense 3 sides of his rectangular yard. The fourth side will be the side of the house. She has 120 feet of fencing available. What dimensions will yield the maximum area?

11/15/15

Logarithm applications

a logistic model for the word population is P(t)=73.2/(6.1+5.9e^-0.02t) where t=0 indicates the year 2000 and the population is measured in billions. a) what world population does this model... more

11/14/15

Evaluate the following indefinite integral

Evaluate the following indefinite integral:   ∫9/(√4-x2) dx

11/13/15

If f(x) = (x3 - 4)7, then what is f '(x)?

If f(x) = (x3 − 4)7, then what is f '(x)?

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