A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15 years it is determined that 0.043% of the initial amount Ao of plutonium has disintegrated. Find the half-life* of this isotope if the rate of disintegration is proportional to the amount remaining. m1

A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15 years it is determined that 0.043% of the initial amount Ao of plutonium has disintegrated. Find the half-life* of this isotope if the rate of disintegration is proportional to the amount remaining. m1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.EA: Extended Application Estimating Depletion Dates For Minerals

Problem 3EA

See similar textbooks

Related questions

Q: b) Let X = (x, y, z). Then show that A = {(x,x),(y,y),(z,z)} is an equivalence relation. Determine…

Q: x3 For approximately what values of x can sin x be replaced by x- 6 OA. x<1.1412 OB. x<0.8695 OC.…

A: Solution

Q: Let A Mn(C) be a Hermitian matrix. &

Q: solve the following system of equations: x'=dx/dt=7y+7e4t y'=dy/dt=5y-3e-5t

Q: Let A, B & Mn (C) be Hermitian matrices. Then

Q: Let f be the function from {a, b, c, d, e} to {1,2,3,4} with ƒ(a) = 3, ƒ (b) = 1, f(c) = 2, f(d) = 4…

Q: A square matrix A is nilpotent if A" : = 0 for some positive integer n. Let V be the vector space of…

A: We shall solve first three subparts only as per the company guidelines. For others kindly post again…

Q: Find the average value of f(x,y) = x² + y² over the region R: rectangle with vertices (0,0), (2,2)…

A: Introduction: A function f(x,y) average value as defined by favg=1A(R)∬Rf(x,y)dA where A(R)…

Q: Consider the following matrices: 1 A = B = C [32] -6 3 6 Compute the following expressions or…

Q: Consider A= (0, 4, 2), B =, (6,-1,0) and C = (3, 0, 1). 1 (a) Find the unit vector having the same…

Q: Evaluate the following integrals. *x*+5x x*+5x³+20x+16 2. x(x²+4)² dx

Q: 4. Elements of a sequence to the power of zero.

Q: X3 X5 For approximately what values of x can tanx be replaced by x-3+5 with an error of magnitude no…

A: Solutions

Q: The equation of the line that passes through the point (-4,-2) and is parallel to the line y = 4x -…

A: Concept: Slope intercept form of a equation is in the form, y=mx+c Here m is the slope of the line.…

Q: y = cos(x) fonksiyonunun birinci mertebeden türevini x = noktasında h = 1/2 olmakla 3-nokta aranokta…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: Jack and Jill are selling snacks to raise money for their school's SGA. • For every candy bar sold,…

A: Solution

Q: 5. In each of the equation below, find an equation in rectangular coordinates. a)p+ 3 = e b)r -2 = 3…

Q: Maclaurin Series of e2x 1 + x

Q: The fixed point iteration method X(+1) = g(x₂) converges if O I g'(x) | = 1 Og'(x) | > 1 Olg'(x) |<1…

A: We want to find true statement.

Q: Determine the general equation of the plane passing through the point P(1, -4,-5) and parallel to…

A: To find: General equation of the plane passing through P(1,-4,-5) and parallel to the plane…

Q: II. Draw the next two figures in each pattern below. 1. 2.

A: To find- Draw the next two figures in each pattern below.

Q: Find the line y = a + bx which best approximates the data points y = (-4, 59), (-3,49), (-2, 38),…

A: We have to find the best fitted curve from the given data.

Q: f(x) = x ln² x fonksiyonunun x 1 noktasında üçüncü Taylor polinomu P3(x)' i kullanarak f(2) değerini…

A: Given that fx=xln2x. We have to evaluate f2 by using the third Taylor polynomial P3x for fx=xln2x…

Q: Find the general solution of each of the following partial differential equations 9uxx-21Uxy + 49Uyy…

A: Find the general solution of each of partial differential equations 9uxx - 21uxy + 49uyy = 0

Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

Q: ? 4. Show that the sequence {fn}, where nx fn(x) = XER 1+n²x²⁹ is point-wise convergent but is not…

Q: could have all the money in his wallet if he were able to guess how many of each kind of bill be…

Q: Let S be the solid which occupies the region in the first octant enclosed by the planes x = 0, y =…

A: Mass of the palnes bounded by first octent

Q: 4. Determine whether or not the following are Reflexive, Symmetric and Transitive. (a) on Z: (a, b)…

Q: Use Taylor's Inequality to estimate the accuracy |R3| of the approximation f(x) at the number a = 0,…

A: Solution

Q: Question 16 6 -65 A₁ = 1.9, A2 = 0.9, A3 = 0.4, Vv₁ = -6, V₂ = -~-~- V3 , and xo = 11 -11 Consider…

Q: Lesson 15.3 Piecewise-Defined Function Evaluate the piecewise-defined function for the given values.…

Q: Compute the greatest common divisor (GCD) between the numbers. (a) gcd (24,54 ) = 6 (b) gcd (18,42 )…

Q: is a solution to the ODE a. x²y" - y = 0; b. x²y" + 6xy' + 4y = 0. Find the values of m for which…

Q: Find the area of the region between the curve y = 3 - x² and the line y = 1 -x from x = 0 and x = 2.…

A: We want to find area between the curves.

Q: 6) Find the volume of the solid in the first octant bounded by the plane 3x +4z=12, y=2 and the 3…

Q: How do you find the focus and the directrix of a Prabola?

A: We find directrix equation and focus of given parabola.

Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

Q: A = {1, 2, 3, 4} B = {2, 4, 6, 8} 26. Conjoining strings {(x,x) & A} 27. String concatenation {(x,…

Q: ii, The electric current flowing in a resistor is given by 1= 20 sin(100t) where I is in Amperes and…

Q: 1. (a) Define floating-point representation, Global error and Truncation error with examples. (b)…

Q: Example 7.7. Find f (22) from the Gauss forward formula 20 25 30 35 40 45 f(x): 354 332 291 260 231…

Q: Problem 8. When it exists, find the inverse of

A: Given, M=1aa21bb21cc2

Q: Evaluate the following expressions in MATLAB, where t = 8 s, i = √-1, and w = 1607 rad/s. (Enter…

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A: The solution starts with the next step.

Q: = 1. An undamped spring-mass system with mass m = 2 and a spring constant 8 is suddenly set in…

Q: 1. Find the orthogonal decomposition of v = {0.4]} 4 -2 with respect to W = Span 3

A: Solution

Q: 3. Find a partial differential equation having a solution (a) u = F (3x - 7y) + G(5x + 8y) (b) u = F…

Q: Referring to the figure, suppose that fo F. dr = 2n fo F. dr = 5n - Use Green's Theorem to determine…

A: Given- Referring to the given figure, suppose that ∮C2F·dr = 2π∮C3F·dr = 5π To find- Use Green's…

Q: Let D be the planar region occupied by a thin plate with n and density function 8(x,y) = y². If C C…

A: Introduction: The moment of the lamina with density function d(x,y) about the x-axis and y-axis is…

Question

Ordinary differential equation

please don't copy answer from other website

A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After
15 years it is determined that 0.043% of the initial amount A₁ of plutonium has disintegrated.
Find the half-life* of this isotope if the rate of disintegration is proportional to the amount
remaining.
*In physics the half-life is a measure of the stability of a radioactive substance. The half-life
is simply the time it takes for one-half of the atoms in an initial amount Ao to disintegrate,
or transmute, into the atoms of another element.

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The half-life of radioactive actinium ( 227AC ) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 19 years?
Half-Life The half-life of plutonium-241 is approximately 13 years. How much of a sample weighing 4 g will remain after 100 years? How much time is necessary for a sample weighing 4 g to decay to 0.1 g?
Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
Radioactive decay Uranium-234 has a half-life of 2.7x105 Years. (a)Find the amount remaining from a 10-mg sample after a thousand years. (b)How long will it take this sample to decompose until its mass is 7 mg?