The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present, with a half-life of 5594 years. Suppose C(t) is the amount of carbon-14 present at time t. (a) Find the value of the constant k in the differential equation C'=-kC. k 1.24*10^-4 = (b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material[1]. How was old the Shroud of Turin in 1988, according to these data? Age 773.038 years =

Q: expon ерт the question The value of an early American coin increases in value at a rate of 6.5% each…

A: Answer given below.

Q: Could you please help me with the following question? Using a TVM solver could you determine the…

A: Given that principal amount P = $ 21,568                   Rate of interest r = 4.8 %…

Q: a et la CV be Subspace if and

A: Answer given below.

Q: The table gives methane gas emissions in millions of metric tons. The quadratic model y = 0.0429x² -…

A:

Q: Max s.t 5x₁ + 2x₂ 7x: +4x) ≤28 1x: + 2x≤ 10 4x: +5x₂= 20

A: Given:  Max 5x1+2x2 s.t   7x1+4x2≤28       1x1+2x2≤10        4x1+5x2=20 To Find: A point 4 , 0 is…

Q: Exercise 0.3.4(b), which asks for an example of sets A and B, a function f: A → B, and subsets C and…

A: 0.3.4(b)  Here we have to give an example to show that f(C ∩ D) is a proper subset of f(C) ∩ f(D),…

Q: Find all of the separated solutions of the heat equation for t > 0, 0 0 is a constant: ut= Kuzz…

A:

Q: EXERCICE 3: Linear maps and determinant For all aeR, let f: R² R³ be the linear map defined by fa…

A:

Q: 1. For the following statements, state if it is true or false. If it is false give a counterexample…

A: True  True True False

Q: Exercise 1.1.6, which asks for a proof that if A is a nonvoid subset of an ordered set S, and A is…

A:

Q: Problem 4. Suppose : R" → R" is a map sending Ze R" to ay əx Ax+ az A is an m x m constant matrix.…

A: As per the question we are given two multivariate functions x̅ , y̅ from ℝn to ℝm and a m×m square…

Q: Determine the most probable next term in the list of numbers. 7776, 1296, 216, 36, 6 7776, 1296,…

A:

Q: y" + 4y' + 6y = 1 +e=2t, y (0) = 0, y'(0) =

A: Given IVP y''+4y'+6y=1+e-2t, y(0)=0, y'(0)=1

Q: Identify the following set as finite or infinite. {x|x is a natural number greater than 58} Choose…

A: Use the given information.

Q: 2+ cos2+ sin st CS SACt) w-2 Sin Scanner

A:

Q: L-¹ { 2s²-5s+30 -s3-6s2 +11s-6-

A:

Q: Insert or in the blank so that the resulting statement is true. {-3, 0, 3} _____ { -3, -2, 2, 3} C C…

A: A set A is called subset of set B  if all the elements of set A is also in set B. It is denoted as…

Q: 9. Find the image of the S = {z: - ≤ Re(z) ≤ π, -1 ≤ Im(z) ≤ 1} under the map f(z) = eiz

A: Given, Set S = {z: -π/2 ≤ Re(z) ≤ π,   -1 ≤ Im(z) ≤ 1} We have to find image of the S under the map…

Q: _et V₁ = B-B-B and V3 = 4 -8 12 -26 , V₂ = 2 5 Select an Answer 1. Determine whether or not the…

A:

Q: A ticket to a circus is $4.50. Usually, around 1560 people attend per day. Surveys predict that for…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: P 8 m Q d 5 m R

A: Solution :-

Q: d. Use your work in (a)-(c) to evaluate the indefinite integral f sin³(x) dx. e. Use a similar…

A:

Q: Tony has $20 and saves $1.50 each day. Joan has $52 and spends $2.50 each day. In how many days will…

A:

Q: R³ R³ We consider the linear map f(x,y,z)+(-x+y+z,x-y+z,x-y-32) (1) Determine the kernel of f. (2)…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Tell if each sequence is arithmetic, geometric or neither. Explain your choice. Determine the next 3…

A:

Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

A: We have a double integral over a region R and we need to convert it to iterated integral , with…

Q: There are three bags one of which contains gold and the other two are empty. Each bag has imprinted…

A:

Q: 1+3 over 5?

A: Answer: Giventhat:-  Findout  1+3 over 5 = ?

Q: x+y 8. If (* = 256 and log (x - y) = 3, calculate the exact values of x and y algebraically. Show…

A: Answer

Q: : Given that u= 318 H and v= 20 9 H 5 .8. 10100 9 find :

A:

Q: What is the minimum number of generators needed for Z2 ⨁ Z2 ⨁ Z2?Find a set of generators and…

A: Given: Group, Z2⊕Z2⊕Z2To find: The minimum number of generators and a set of generators and…

Q: find the asymptotes of f(x)= x^2 - 7x +12 / x+6

A: find the asymptotes of f(x)= x^2 - 7x +12 / x+6

Q: Sketch the graph of the function f(x) Let g(x) = f(t)dt. (a) Then g(-9) = › g(2) = (c) g has a…

A:

Q: determine the inverse Laplace transform of F.

A:

Q: Evaluate the following limits. (a) (b) lim →∞ e 4 8 11 4 lim I∞ et 8 EJ

A:

Q: Write down the adjacency matrix for the following graph, fill in the given table. A A B C 7 B E D A…

A:

Q: Key Concepts: Given the four graphs shown to the right, which one(s) (A, B, C, D) have: • f'(x)…

A: Graph of the function is given  We have to match the function with graphs .

Q: 4 If what does the following integral equal? -1 -8 y(v) dv= [₁ y(v)dv = 13 -8 and 3 [₁₂0² -1 y(v)dv…

A:

Q: Make the three polynomial functions ao, a₁ + b₁x, and a2 + b₂x + c₂x² orthonormal in the interval -1…

A:

Q: {A,B,C} ______ {A,B,C,D} Choose the correct answer below. only

A: A,B,C___A,B,C,D

Q: f(t) = -* sin4t cos 4t CS Scanned with CamScanner

A:

Q: Just make the linear programming model of the next exercise: The maximum profit must be obtained in…

A:

Q: Determine the most probable next term in the list of numbers. 1024, 256, 64, 16, 4 1024, 256, 64,…

A: Given, list of numbers  1024, 256, 64, 16, 4

Q: Ans: Σ 1 sinh na Uxx + Uyy = 0, u(x,0) = 0, 0 < x < 1 u(x, 1) = 0, 0 < x < 1 u(0, y) = 0, 0 < y < 1…

A: This a   Dirichlet  problem for Laplace's equation  uxx+uyy=0 , 0&lt;x&lt;a , 0&lt;y&lt;b  comparing…

Q: π The path r(t) = (6 cos t) i + (6 sin t) j describes motion on the circle x² + y² = 36. Find the…

A: Given, r(t)=(6cos t) i+(6sin t) j Path of the motion described by x2+y2=36 To find : velocity and…

Q: Let Ax = b be a nonhomogeneous linear system with a particular solution v. Let S = {V₁, V2, V3, V₁}…

A:

Q: 1. Think of a real-life situation where you could be solving a rational equation and might get a…

A: 1.  (Real life situation) Suppose we are given a circular thin plate and it's surface area is known,…

Q: 1. Determine whether or not the expressions below are wff (well-formed formulae). Explain your…

A:

Q: x³-4x²+7x-6 X-2 a. Graph the function on the window xmin = -2, xmax = 4, ymin = 0, ymax = 10. 2. Let…

A: As per the guidelines I have solved first three subparts of the given problem.

Q: 2. Let T: P₁ (R) → R2 be the map given by T(f) = (f(1),f" (1)) where P₁ (R) is the set of…

A: