A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 20° F. After one-half minute the thermometer reads 60° F. What is the reading of the thermometer at t = 1 min? (Round your answer to two decimal places.) 60.01 X °F How long will it take for the thermometer to reach 25° F? (Round your answer to two decimal places.) 3.28 x min

Q: Matrix [1 3 4 in Z5 is digonalizable. True False

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Exercise 1 Using Euler's method: Find the value of f(x) at x…

A: For given IVP,  formula for Euler's method is         Given, IVP is  So, We will consider

Q: Question 12. population. The following differential equation describes the dynamics of a x' =…

A:

Q: Determine the interest and amount owed after 3 years on a 5,000$ car loan at 6% interest compounded…

A: A car loan of  at 6% interest compounded annually.The objective is to find the interest and the…

Q: Solve the following differential equation. y + y +y=x²-2x

A: We have to solve the given differential equation.

Q: How many even 11-digit numbers (no leading zeros) have at least three 3’s?  Is it possible to use…

A: Let U be the universal set of all even 11- digit numbers( no leadingzeros)Let A be the set of all…

Q: Evaluate fff zdV, where E E is the region shown on the picture. It is a half of the ball of radius 1…

A: Given integral is where E is shown in given figure.We convert the given integral Cartesian to…

Q: 1. Suppose that 0 ≤ a, b, for every positive integer n. Which of the following statements is always…

A: **Note: According to the Bartleby guideline I should answer the first one only.Comparison test…

Q: Find approximate value of the following integral So exp(r²) dr for a=0; b-2 use 3 points Gauss…

A:

Q: Solve the following initial value problem 2 1 6 0 2 5 X, X(0) 002 X = = 2 -3

A:

Q: Given the following set of data, determine the mode. 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1

A: In the given set of data, the number that occurs the highest number of times is called Mode.

Q: What's the quadratic approximation of the function f(x) = x² sin (2x) at the point x = π/4? O f(x)≈…

A:

Q: Match each of the following planar vector fields with the corresponding plot. Note that the vectors…

A: Given:The vector fields are given by,1) 2) 3) 4) The plots of the vector fields are given by:1st…

Q: (a) Draw the game in extensive form specifying who moves when, the set of actions available at each…

A: As per the question, we explore the strategic interactions between society and the state, which can…

Q: Is -2=5 and 5=-2 the inverses of 5 and 2?

A: The additive inverse, also known as the opposite or negation, is a fundamental concept in…

Q: 5. Given the following points (2,5), (4,6), (5,3) calculate the second order interpolation…

A: Formula for interpolation polynomial with Lagrange's formula is            Given,

Q: 17. Let S = {1,2, 3, 4, 5). The vertex set of a graph G is the set of 2-element subsets of S. Two…

A: The Petersen graph is a well-known and interesting graph with 10 vertices and 15 edges. It is named…

Q: 3. Using Simpson's rule with n = 6. Estimate the area of the surface generated by revolving the…

A:

Q: Use an appropriate infinite series method about x = 0 to find two solutions of the given…

A: Given differential equation is  note that here  is ordinary point.So the series solution is of the…

Q: e. Consider our original homogeneous equation: y" +2y' +5y = 0. Rewrite this as a system of first…

A: e. Consider our original homogeneous equation: y''+ 2 y'+ 5 y= 0. Rewrite this as a system of…

Q: I. II. Given f(x) = 1/Inx' approximate f(x) dx the Trapezoidal Rule with four subdivisions to 3…

A: Let       take   and number of sub intervals n = 6 then…

Q: Given the differential equation y"-4y'-2y = 5 sin(4t), y(0) = -1, y'(0) = -2 Apply the Laplace…

A:

Q: 1. Consider the linear system −1 1 X₁ 2 2x₂ -1 2x₂ 2 2 a). Find the exact solution of the system.

A: As your question has multiple sub parts according to guidelines I am solving  the first problem…

Q: Use the Laplace transform to solve the following initial value problem. y'+y=d(t-1), y(0) = 2

A: Introduction: Laplace transform is named in honour of the great French mathematician, Pierre Simon…

Q: Find the exact interest on a loan of ​$6,000 at 8​% annually for 70 days.

A: Given, a loan of $6,000 at 8​% annually for 70 days.To find the exact interest on a loan.

Q: 0

A:

Q: 3. The value sin(7/10) is a constructible length; construct it. That is: Begin with two independent…

A: Given that the value sin⁡(π10) is a constructible length. We need to construct this length using…

Q: In a family with 2 children, the probability that all the children are girls is approximately 0.25.…

A: In a family with 2 children, the probability that all the children are girls is approximately 0.25.…

Q: heaviside funtion. draw the graph of       f(t) = [u(-1) - u(t-3)] (e^-t)

A:

Q: A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP…

A:

Q: Evaluate the triple integrale dV where E is bounded by the parabolic cylinder z = 4 -1² and the…

A:

Q: Evaluate √3-2²+1-19 dr

A:

Q: 2 0

A: To find the equilibrium points of a given system, we need to solve for the points where the…

Q: A: - -2 3 -6 7 Find cos(At) and sin(At) Note: It's the same as finding eªt b instead of writing e2t…

A:

Q: maximize: subject to: 2x1 + x2 0≤x≤ 5 0 ≤ x2 ≤7 x1 + x₂ < 90

A: (.) Given ,     In simplex method we add slack variables.Let slack variables,  then inequalities…

Q: Compute the integral of the scalar function f(x, y, z) = 6xy +9z over r(t) = (cos (t), sin (t), t)…

A:

Q: Evaluate the surface integral ]], F F. ds for the given vector field F and the oriented surface S.…

A:

Q: Let F be a C¹ vector field and let W be a symmetric elementary region in R³ with boundary OW = S.…

A: Gauss divergece theorem

Q: Fourier's Law of heat transfer (or heat conduction) states that the heat flow vector F at a point is…

A: Solution is uploaded below

Q: Problem: Use the power series method to solve the given initial value problem: d²y (x²-1) ²+ 3x +xy…

A: We have to find the solution of differential equation using power method

Q: A payment of £8,000 will be received at time t=17. Calculate the value of this payment at t=0 years…

A: A payment of £8,000 will be received at time t= 17.We are to calculate the value of this payment at…

Q: The following gives the number of accidents that occurred on Florida State Highway 101 during the…

A: MonthJanFebMarAprNumber of accidents25406090Taken as: XY125240360490Total number of data, n=4

Q: Set up the triple integral of an arbitrary continuous function f(x, y, z) in cylindrical or…

A: Triple integral over the given solid.

Q: QUESTION 1 During the annual conference of a professional organization, nine topics were proposed…

A: As per the question, we can interpret it as a graph coloring problem, where each topic is a node and…

Q: Let f(x, y) = √√1 + 18xy and let C be the curve given by y = 2x³ for 0 ≤ x ≤ 3. Compute fef ds. (Use…

A: is the curve given by for .We have to evaluate the integration

Q: Prove that for every positive integer n, Q/Z has an element of order n.

A:

Q: given f(z)=u(x,y)+iv(x,y) is an analytic function where u(x,y)=x^3-3xy^2. find f(z)

A: We have to find .

Q: Example use the binomial theorem to a(1-x) x √(1+2x) up to the term in 20² expand

A: (.)  Given ,             (.) Binomial theorem for the expansion of  is,

Q: How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis…

A:

Q: Retail Sales A candy shop sells various items for the price per pound (in dollars) indicated in…

A: