The rate at which a substance cools in moving air is proportional to the difference between the temperatures of the substance and that of the air. If the temperature of the air is 290 K and the substance cools from 370 K to 330K in 10 minutes, when will the temperature be 295 K? (1) 20 minutes (2) 30 minutes (3) 40 minutes (4) 50 minutes

Q: Question 2 For any A € M3,3(R), we define f(A) = \det(A)]. norm? You need to determine True/False to…

A: We are given  and we define absolute value of determinant of A such that .We need to find whether it…

Q: 3. y' = y³, y(0) = 1

A: As you mentioned Q-3 with three parts as per norm.GivenHere and The Euler's method iteration

Q: - Evaluate, and express your answer as a fraction or -2 integer: 64 1 8

A: Solution:Given expression: we have to evaluate the given expression

Q: 202021: Lagrange multipliers. a. Optimise f(x, y, z) = xy + yz + zx subject to x + y + z = A for the…

A: You have given multiple questions so according to question-answer regulation here I am given first…

Q: Which of the followings is true fort he value of A B D E -00, divergent 0, convergent 3/1 2 1 - -,…

A: The given integral .We have to find the value of the integral.

Q: Given the wave equation on an infinite string. Use the D′Alembert formula to calculate the solution…

A: We are given the following system.      As per the instruction, we will be solving the above system…

Q: Question 3: Simplify the following expression: Re(-jes)

A:

Q: 2k-1 00 (9) The sum k-13k = A) 312 9/2 C) 2 D) 2/12

A:

Q: The McDonnell Douglas (now Boeing) F-15E Strike Eagle is an American all-weather multirole strike…

A:

Q: For what value(s) of a is 5 equal to 256?

A: We have here we have to find the what values of a the above expression equal

Q: Find the general antiderivative. f(3 sin x-3cos.x) dx Select One 3cosx + 3sinx + c -3cosx - 3sinx +…

A: We have to find antiderivative.We have to find solution.

Q: D) Sp1 B) lim > 1 k+1 C) lim+¹ <1 D) lim<1 kwe (25) The interval of convergence of the power series…

A:

Q: The temperature distribution u(x, t) in a bar 1 m long, insulated along its length, is given by the…

A:

Q: Consider the following differential equation: (D− 6)³ (D² + 4)y = 8eº + sin (2x) + 4 (a) Solve the…

A:

Q: Solve the following integro-differential equatic y' (t) + [ * (t – u)y(u) du (tu)y(u)du = t, y(0) =…

A: Given differential equation

Q: R = BYn+Ssyn B + 2yn (1+5²) 1/2 22.9Yn+4yn² 22.9+2yn (1+4211/2 12833 = (22.9 yn + 4yn²). 1.…

A:

Q: ΣΑ x n=1 (x-2) 2) n 3" (n² +1 2

A:

Q: 28. Determine the point of intersection between the following pair of lines ở = (5,1,7) +s(2,0,5),…

A:

Q: (21) The appropriate substitution for f dx A) x + 1 = 3 tan@ √x+2x+10 B) x 10 sin 0 (22) The radius…

A:

Q: Consider the following LP: Maximize z = 3x1 + 2x2 Subject to: 2x1 +52 8 3x17x210 #1, #20 The optimal…

A: Consider the given LP problemWe have to find the range of  such that the current basic feasible…

Q: Given the vector-valued function for curve C as r(t) = (3t², 8e¹, 2t), answer the following. (a)…

A: Vector-valued function : Point :

Q: 1 C: An example of diagonalisation: Let T be the operator of C3 with matrix M = 0 0 2) Find the…

A:

Q: Suppose the series Σbx" converges for |x| <9. Select all that applies n=0

A:

Q: 1. Consider a thin bar of length 10 cm whose density is distributed according function p(x)=0.12,…

A: A thin bar of length 10 cm whose density is according to the function  where x=0 is the left end of…

Q: ummarizes the findings. Find the standard deviation of the amount of time spent in line. (Round your…

A:

Q: 23 02 Find unit vectors ū₁ and ū₂ such that || Aū₁|| = 4 and || Aū2|| = 1.

A: The solution is given by

Q: Problem 3 Verify that the given differential equation is exact; then solve it. (z + tan¯¹ (y))dy…

A:

Q: (25) The interval of convergence B) (-) A) [0] of the power series -1* is: C) (-3,3) D) (-00,00)

A:

Q: Determine whether the following equation defines y as a function of x. y=\sqrt(x+31) Does the…

A:

Q: 9-12 Sketch the curve and find the area that it encloses. 9. r 4 cos 0 = 10. r= 2 + 2 cos 0 11. r=…

A: To Find:Graph of the curve and also find the area."As per the policy, we are allowed to answer only…

Q: Find absolute maximum and minimum values for f (x, y) = x² + 6xy + y2, defined on the disc D = {(x,…

A:

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

A:

Q: Q2: Find the value of parameter a for which the function f(x) = 1 + ax, a ‡ 0 is the inverse of…

A: A function To Find:Value of  for which the function is the inverse of itself.

Q: Problem 6 1. Use Euler's method to find y(0.3) for the differential equation = 2 +t-y with initial…

A:

Q: Consider the following LP: Minimize z = 2x1 + 3x2 + x3 Subject to: x1 + 2x2 + x3 ≥ 2 x1x2x3 = 1 ₁…

A:

Q: 4x(1-x)y"+y'+8y=0 Solve Gauss' hypergeometric differential equation

A: Let Its general solution is given by where,

Q: (Optional) Torsion of a curve is defined as T = [r′(t) × r' (t)] · r'' (t) ||r' (t) x r"(t)||² is a…

A:

Q: Your client has been given a trust fund valued at $1 million. She cannot access the money until she…

A: Given that, P = $1 = 10,00000                   r = 7%= 0.07                 t = 12 years.Then from…

Q: Fit a straight line to the x and y values in the table below using Least Square Regression Method.…

A:

Q: determine convergent or divergent and why

A: We know that…

Q: nsider the vector field F(x, y, z) = 10yzî+(6-a)x²yĵ-2ax² z kw d the value of a that makes F…

A: A vector field is called incomprehensible if divergence is zero everywhere.

Q: Solve the following problem. PV = $24,802; n=82; /=0.016; PMT= ?;

A: Given thatHere we can use the formula

Q: 8) Let A be a 12 x 7 matrix. If the dimension of the nullspace of At is 6, what is the nullity of A?

A:

Q: Use the given graph to estimate the value of each derivative. Then sketch the graph of f'. (a)…

A: As per the question we are given the graph of a function y = f(x) and using the graph we have to…

Q: Find the associated partial differential equation to solve u(x,y) = e*f(xy-ux)

A:

Q: 2) Conversely Suppose that V = UW and that T is the projection on a U along W. Prove that there is a…

A:

Q: Hi, how would I approach solving a differential equation using the power series method if the…

A: Given differential equationwith initial conditions Assume the power series solution be

Q: 102 +251 (2x + 3)p5x

A: Given differential equationWe have to solve using method of variation of parameters.

Q: 9. Given the graphs of y = f(x) and y = g(x) sketch the graph of k(x) given k(x) = (^)(x) y=f(x)- y…

A:

Q: 1 0.5 0.3 3 4 5 6 7 8 । Q2. For the given membership function as shown in the above figure,…

A: Concept UsedWeighted average methodThis method is valid for fuzzy sets with symmetrical output…