A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute later, the thermometer reading is 31°F. Find the temperature reading 5 minutes after it was brought into the room. At what time will the temperature reading be 67.8°F? Hint: cooling:=-k(T - Tm); heating: = k(Tm − 7); temp at time t: T = Tm + (To − Tm) e-kt

Q: Find x so that the dot product of the vectors u and v below is 23.

A: dot product will be 3*5+2*(-2)+2x so this must be  23

Q: (a) (Continuity of algebraic operations) Let S C R and c be a cluster point of S. Let f: S→ R and g:…

A:

Q: The subspaces of R3 are planes, lines, R3 itself, or Z containing only (0, 0, 0).(a) Describe the…

A: We know that ℝ3 is a vector space having elements of the form x, y, z, where x, y and z are the real…

Q: (1 point) Which of the following degree sequences are possible for a simple graph? 4 A.…

A:

Q: ht) Use a graph below of f(x) = In(8x² + 1) to estimate the x-values of any critical points and…

A:

Q: The population of a town increased from 3500 in 2007 to 5100 in 2012. Find the absolute and relative…

A:

Q: He Wa Salve the following.. Fech. Chape. Dr. Ir.). D. De X 2 y.). dy...c

A:

Q: Compute the following. 6! 0! Xx

A:

Q: Suppose that c. ind the values of c and d. C= [2] + d. d= -3 -10

A:

Q: Evaluate ſ√√x² + y² dA, where D is the domain in Figure 4 -RE D -R₂ IRE 20 R FIGURE 4 SSD √x² +…

A:

Q: Find the area inside the circle r = 4 sin 0 and outside the circle r = 2

A: As per our guideline, we are supposed to solve only first question because subparts are not…

Q: 2. (UC-3) A mass weighing 64 pounds stretches a spring 3.2 feet. The mass is initially released from…

A: Newton's 2nd law of motion for the system is, md2xdt2=-kx-βdxdt+ftd2xdt2+kmx+βmdxdt=ftm Now,…

Q: Verify the following functions f(z) are analytic for all z = x+iy. Use the Cauchy-Riemann conditions…

A:

Q: Tell whether each equation is true or false. 18 × 40 = (10 × 40) + (10 × 2) + (8 × 40) + (8 × 2)

A: Given equation is,  18 × 40 = (10 × 40) + (10 × 2) + (8 × 40) + (8 × 2)

Q: Assume that the rate of decay of a radioactive substance is proportional to the amount of the…

A:

Q: The linear combinations of v = (a,b) and w = (c,d) fill the planes unless _______. Find four vectors…

A: We know that two vectors in ℝ2 form a subspace containing planes if they are linearly independent…

Q: A state cooperative department is performing a survey to determine the annual salary earned by…

A: Given that the confidence level is at 95 percent. So, the Z-value is:  Z=1.96. It is required to…

Q: 14 when 0 < x < 1, when 1 ≤ x ≤ 2, elsewhere, find the distribution function F for X. 6. If f(x) = =…

A:

Q: A certain retailer increases wholesale prices by 34%. If this retailer offers a 20% discount off the…

A: Given the percent in increase of whole sale price is 34% Let the wholesale price of the ticket is…

Q: Given that the Fourier transform of e- πt^2 is e- πs what is the Fourier transform of the following…

A:

Q: If B is the inverse of A 2, show that AB is the inverse of A.

A: A square matrix A is said to be invertible if there exists a square matrix B such that AB=I, where I…

Q: xy² R x² + 1 Round your answer to four decimal places. Find • dA, R= [0, 4] × [ - 2, 2]

A: We need to evaluate the integral: ∬Rxy2x2+1dA in the domain: R=0, 4×-2, 2. Use the provided limit to…

Q: Current Attempt in Progress Find the inverse of the given matrix if the matrix is invertible, and…

A:

Q: Write the general solution of the differential equation 2ydx + xdy - x^3dx = 0. In writing your…

A:

Q: T (b) Use a triple integral to find the volume of the solid above z √√3x2 + 3y2 and below z = 6-1² -…

A:

Q: Determine the Nash Equilibrium by Backward Induction. Stop -1,-1,8 Go 5,-15, 10 Stop 5, 10,-7 Go…

A: Nash equilibrium in game theory is a set of strategies, where no player has the incentive to change…

Q: If A has column 1 + column 2 = column 3, show that A is not invertible:(a) Find a nonzero solution x…

A: A square matrix A is said to be invertible if the determinant of the matrix A is not equal to zero.…

Q: Expand the function f(x) = x², if -π < x < 0 if 0 < x < π -x², in a Fourier series. Plot what the…

A:

Q: Use the summation notation to rewrite the following expression. 6 (1³ – 6) − (2³ − 6) + (3³ – 6) −…

A: The series is given in expanded form as  (13-6)-(23-6)+(33-6)-(43-6)+(53-6)-(63-6)we have to find…

Q: 1. (VP-2) Use variation of parameters to find the general solution to the following equation: y" +…

A: Solution:

Q: Use the simplex method to maximize the following: Maximize f = 5x₁ + 4x2 + 8x3 subject to 2x1 + x₂ +…

A:

Q: answer incorrect

A:

Q: decide if the given statement is true or false,and give a brief justification for your answer. If…

A: We have given a statement, An eigenvector corresponding to the eigenvalue λ of a matrix A is any…

Q: A loan of $26,000 is paid off in 36 payments at the end of each month in the following way: Payments…

A: Answer

Q: The initial mass of a certain species of fish is 2 million tons. The mass of fish, if left alone,…

A: Solution: Let the mass of fish at time t be represented by m(t) million tonnes per year. We are…

Q: s instructed, || e-SP(x) dx Y/2 = Y/₁(x) [² (2(x) = -√²/(x) 2: dx (5) to find a second solution…

A:

Q: You bought a house for $165,000 in 2005. It appreciates 2% per year. What is the growth factor? You…

A:

Q: Find the short test distanse between the two curves y = Sinx ² where the interset and x² + y² Point…

A:

Q: 2. (f(x)=-5x-2 (g(x)=-2x+1 Point of intersection: 3. (f(x)=-x-2 g(x) = 2x + 10 Point of…

A:

Q: Find the minimum and maximum of f(x, y, z) = x² + y² + z² subject to two constraints, x + 2y + z = 7…

A: The given function fx,y,z=x2+y2+z2 subject to two constraints x+2y+z=7 and x-y=8. We have to find…

Q: A woman wishes to save $20,000 for a down payment on a home. She can afford to set aside $1100 per…

A: Future value of ordinary annuity is  FV=R1+in-1i where R is regular deposit, 'i' is periodic…

Q: Suppose a coronavirus has infected 4 students in our college the number of infected students doubles…

A:

Q: A lamina occupies the part of the rectangle 0 ≤ x ≤ 8, 0 ≤ y ≤ 6 and the density at each point is…

A:

Q: Find the volume of the solid under the surface f(x, y) R= [0, 1] x [1, √2] on the xy-plane. x³ y (x²…

A:

Q: Suppose ʼn is a positive whole number. Simplify [n+1)! — n! × n. On! O 1 On + 1

A: 'n' is a positive whole number. We have to solve  (n+1)!-n!×n Remember : n!=n.(n-1)........3.2.1

Q: NON O 4 2 0 -2 पं 0.0 R W 0.1 0.2 0.3 0.4 e (= recombinant fraction) Using pedigree data, you carry…

A: As given dominant disease locus and other molecular marke loci T , W and R. Claim - to find the best…

Q: 11. A matrix ME Mnxn (C) is called skew-symmetric if Mt = -M. Prove that if M is skew-symmetric and…

A: 11. A matrix M∈Mn×nℂ is skew symmetry and n is odd. We have to prove that M is not invertible. Also,…

Q: Use the formula for the sum of a geometric sequence to write the following sum in closed form. 83…

A:

Q: 2) Aşağıdaki sayıların ikili veya ondalık eşdeğerlerini bulunuz. a) -245.125 b) 391.45 c) 0 1000…

A:

Q: - Construct a matrix with the required property or explain why this is impossible: (i) Column space…

A: