A 400-gal tank initially contains 100 gal of brine contain- ing 50 lb of salt. Brine containing 1 lb of salt per gallon enters the tank at the rate of 5 gal/s, and the well-mixed brine in the tank flows out at the rate of 3 gal/s. How much salt will the tank contain when it is full of brine?

Q: Use technology and the future value formula to find i. FV = $6,490; PMT= $600; n = 8; i = ? i=…

A:

Q: Consider the vectors 2 3 3 ·0.0 H in this order. Find a subset of these which is a basis of the span…

A:

Q: Q6. Find eigenvalues and associated eigenvectors for each matrix. [-1 4 -1] b) A = 0 1 0 03-21 a) A…

A: Given  A = 8-63-1                      The characteristic equation of A is…

Q: F(x, y, z) = xy i+yzj+zxk, C is the boundary of part of the paraboloid z = 1 - x² - y² in the first…

A: We have to find the value of k ∫Fdr. Using stokes theorem  The procedure is given below

Q: dz √|z|=1 |z|=1 z²-8z_+1

A:

Q: Approximate the stationary matrix S by computing powers of the transition matrix P shown below.…

A:

Q: y" - xy = 0 2) Solve for term of X7 . Final answer must Show the series until

A:

Q: 3\ Let T = {0} U {un, neN} un = numbers N and A = {2,3,5} be {n, n+1, n + 2,...} r is topology on a…

A: The definitions that are necessary to solve this problem are the following: 1. Interior of a set…

Q: ind the general solution x'y"-3x'y"+6xy-6y= 2x as assume x > 0

A:

Q: ¡CON(I) 1 G(r): = -T₁₂ -2 dy 1-y³

A: Gx=∫x-2cosx11-y3dy To Find: Evaluate the above definite integral Using the Fundamental Theorem of…

Q: Consider the following consumer utility maximization problem: How much x and y will this consumer…

A:

Q: You are analysing a factory. Stage 3 of the manufacturing process has a 15% chance of finishing on…

A:

Q: 4 Given that y = ex solves (x+1)y"+xy-y=0 find the second solution of the above differential…

A:

Q: Let f (x, y) = e(5x-6y). Find the equation for the tangent plane to the graph of f at the point…

A:

Q: Approximate the stationary matrix S by computing powers of the transition matrix P shown below.…

A: We are going to solve this using methods of Markov chains. Properties of Markov Chains:- Let P be…

Q: 6. If the vertices of a digraph with n vertices can have its vertices numbered from 1 to n such that…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis y…

A:

Q: Question 3 In each of the following cases, check whether the given subset is (1) an ideal, (2) a…

A: To determine whether the subset J = {a + ib : 17a - 190a2b2 > 0} in Q(i) = {a + ib : a, b ∈ Q} is…

Q: ne function

A: The function 3sin(x) represents a sinusoidal function with an amplitude of 3. It is a transformation…

Q: A company makes three types of candy and packages them in three assortments. Assortment I contains 4…

A: Let x represents the number of boxes of Assortment I. Let y represents the number of boxes of…

Q: Let f(x, y, z) = 5x³ - y³ + z². Find the maximum value M for the directional derivative at the point…

A:

Q: 18. The first floor of a house is shaped like a rectangular prism and the second floor is shaped…

A: Please refer to the solution in next step.

Q: Find the value of the permutation. P(7.1)

A: The objective is to find P(7,1).

Q: a) 5. Encuentra el flujo del campo F(x, y, z) = 2 [+x5-3= k a través de la superficie determinada…

A: Here, the given F→=Z2i^+xj^-3zk^. To find : The flux.

Q: In a class of students, the following data table summarizes how many students have a cat or a dog.…

A:

Q: 1. Explain why log 7 +log = 0. Provide algebraic proof in your explanation

A:

Q: The Acme Widget Company has found that if widgets are priced at $ 212, then 46000 will be sold. They…

A:

Q: Problem 1 For each of the following matrices, compute the rank and the inverse if it exists. 2 (1)…

A: Since you have posted a multiple question according to guidelines I will solve first(1)   question…

Q: Q5. Express the vector w = (1,0, −7) as a linear combination of the vectors v1=(5, 3, 4) and v2=(3,…

A:

Q: (1) Express the invertible matrix 121 10 1 1 1 2 as a product of elementary matrices. (2) Prove that…

A: Concept Used An elementary matrix is a matrix that can be obtained from the identity matrix by one…

Q: In the following linear programming problem, there is a tie for the choice of the first pivot…

A: Objective Function: Maximize: P = 1X1 + 1X2 Subject to: 4X1 + 1X2 ≤ 22 1X1 + 0X2 ≤ 5 0X1 + 1X2 ≤ 17…

Q: You are given the following: 1 g(1) 2 g(5) g(12) Find g(1001). = = = 15 2 39 g(2) 3 2 g(7) = 14…

A:

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A:

Q: APQR has T on QR so that PT is perpendicular to QR. (a) Draw three triangles APQR with PQ, PR, QT,…

A: As per the question we have to find the triangles ∆PQR with PQ, PR, QT, RT all integers and PT is…

Q: In each case, draw the regions and determine if they are the same. (b) (c) R₁ = {(z,y) |0 ≤ y ≤2. y²…

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

Q: Let A = PDP-1 and P and D as shown below. Compute A4. P= 1 2 - 1 3 D= A4= (Simplify your answer.) 1…

A:

Q: the answer is wrong please check ,thanks

A: As per the question, we are asked to determine the probability of a particular scenario in a…

Q: с z³ + 2z+1 (z−1)³ dz

A:

Q: (2) Let {E₁} be an increasing sequence and U EN = X where µX <∞o. Show that lim μ E = 0.

A: 8

Q: (b) Based on the following functions, sketch the level curves in the function's domain. Hence draw…

A: We shall use MATLAB to perform the following operation. (i) The MATLAB code to sketch the level…

Q: What is the probability that the sum of two randomly chosen integers between 20 and 40 inclusive is…

A: What is the probability that the sum of two randomly chosen integers between 20 and 40 inclusive is…

Q: 3) Solve for." — 2xy + y = 0. Final answer must Show the series until term of X7.

A:

Q: 1. ý tỷ = 2 sec¹x. tan x + sec² x

A: According to Bartleby guidelines, If multiple questions are submitted by a student then an expert…

Q: *If G is k-regular and connected but there is a vertex v such that Gv is disconnected, then prove…

A:

Q: How many ternary ( 0,1,2) sequences of length 10 are there without any pair of consecutive digits…

A: We need to find the number of ternary(0,1,2) sequence of length 10 are there without any pair of…

Q: Example 3: Sketch a graph of f(x) = log3(x − 2) alongside the parent function. -10 -8 -6 -4 -2 10 8…

A:

Q: Let f(x, y, z) = 5x³ - y³ + z². Find the maximum value M for the directional derivative at the point…

A:

Q: Advanced Math Question

A: A null space is the solution set of the general linear system is known as the null space of the…

Q: Problem 3.5 Evaluate the following determinants (use row operations to simplify the calculation).…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…