A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 MeV (million or mega electron volts) alpha particles. Assume that the rate of decay is constant, how long will it take for the sample to degrade to 4.5kg? Ot*2580 years O t*3201 years Ot*3253 years Ot*2500 years none of the choices h

Q: - ; Let A be a square matrix such that A? – 7A+ 81 = 0 (where I and 0 are the identity and zero…

A:

Q: Consider the rormal line to the surface z= z + y? (parabokoid) at the point P(1,1, 2) Find the point…

A:

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

A:

Q: Let p(a) represent the number of pounds of grass seed required to seed a lawn with area a. Let c(s)…

A: Let f(x) and g(x) be two functions. The composite function, f∘g(x) can also be written as…

Q: , Please state one possible violation of standard model assumptions ual plots below (one sentence…

A: Given information: Residual plots are given.

Q: Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

A:

Q: Tick all the questions or statements that can be proven or answered using mathematical induction.…

A: Mathematical induction states that, if a statement is true for 1,m then it is to be checked if that…

Q: Let A be an invertible matrix of size 3 x 3. Let {x₁, x2. X be a set of three linearly independent…

A: Given A is an invertible matrix of size 3 x 3.  We prove that if {x1,x2,x3} be a set of three…

Q: Use the fact that \bF = (2xy + 3cosy) bi + (r? - 3xsiny) bj, is a gradient vector field to evaluate…

A: Given F = (2xy+3cosy)i+(x2-3x siny)j As F is a gradient vector field, it can be rewritten as F=∇f…

Q: Create a set of 3 planes that intersect in a "Triangular Prism", as the picture shows. In other…

A: The equation of a plane is given by the formula ax+by+cz=d. The planes can be made depending upon…

Q: Explain why the following statistics may be difficult to interpret, or misleading without further…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Consider the differential equation V2 cos 0) (µ – cos 0) 2 - - on the circle, where µ is a real…

A: "According to bartleby guidelines, we are not allowed to provide a handwritten solution" Given the…

Q: 29. At a construction site, there are boards that measure 44 Find the relative error of this…

A: Given problem:- At a construction site, there are boards that measure 4.5 Find the relative error of…

Q: If the sales per day of a start-up company can be modeled using the function s(d) = d° + 10, what is…

A:

Q: 7.18 Consider the system à = -a + x²y -y3 – 23 Describe the asymptotic behavior of the solution with…

A: Given: The system, x∙=-x3+x2y y∙=-y3-x3   To describe: The asymptotic behavior of the solution with…

Q: Question 1 Use the separation of variables technique to solve y=y/r(r+1), with y(1) = 3. Question 2…

A: Question 1:Solution:            y'=yxx+1                        ∴dydx=yxx+1                        ∴…

Q: b.Twenty means were piotted on a control chart. An analyst counted 13 runs above/below the median,…

A:

Q: Q2: Which of the following statement is TRUE for the trigonomets function given below: y = -4 cos…

A:

Q: (c) Consider the basis vectors ê1 = * and êz = *. What is the length of the vector V defined as V =…

A:

Q: Find the B-matrix for the transformation x-Ax when B= (b₁,b₂, b). -7-72-18 A= 1 17 5. b₁ = HOHOH…

A:

Q: Consider the cylinder x² + y² = 1, and let S₁ be the part of the cylinder that lies between the…

A: The given surface is S=S1∪S2, where S1 is the part of the cylinder x2+y2=1 that lies between the…

Q: Divide. (x²+9x+23)÷(x+6) Your answer should give the quotient and the remainder.

A: To Solve : x2+9x+23÷(x+6)

Q: By using a suitable Fourier transform, the solution of 9u

A: In this question, we have to solve the wave equation by using Fourier transform. The wave equation…

Q: Use finite difference method to solve the heat equation with K = 1 for a 1-meter thin rod with…

A: We use the method suggested finite difference.

Q: C. The following data are the number of defects per spool of cable ORSERVATION E2E9 3 11 12 13 14 23…

A: We have given, Number of defects per spool of cable We have to find conclusion for median and up…

Q: 6. Verify that the line integral and surface integral of Stokes' Theorem are equal for the following…

A:

Q: Locate the centroid (, y) of the shaded area.

A: The centroid of the shaded area is determined as shown below.

Q: Solve the heat equation 1 Ut = Upr + -Ur + 0, 0 0, -0 <0 < oo.

A: we have  urr+1rur+1r2uθθ=0..... (i) let us take u=p(θ)q(r)  now  urr=p(θ)q"(r),ur=p(θ)q'(r),…

Q: y? 144' 64 3. Consider an ellipse = 1 (see figure 6).A line is drawn tangent to the ellipse at a…

A: Consider data based figure   co-ordinate of P(7,7) co-ordinate of Q (4,8) line QR passes through…

Q: The number of the element(s) of order 13 in Z13 O Z13 12 None of them O 13 169 168

A:

Q: (d) r(x- 5)y" +y - xy = 0, x = 0 is an irregular singular point.

A:

Q: Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 103 and…

A: given data,suppose that blood concentration (mmol/L)has normal distribution μ = 103σ = 5we solve…

Q: The input-output matrix for a simplified economy with just three sectors (agriculture,…

A:

Q: Suppose f: [a, b] → R is Riemann integrable, that is, f = R([a, b]). Prove that 72 b fº* f(x) dx =…

A: