a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved. Pure water enters the tank at the rate of 10 liters per minute. The solution is kept thoroughly mixed and is drained from the tank at the same rate. If m is the mass of salt in the tank at time t, which of the following options describes the rate of change of the mass of salt in the tank?

Q: 27. x + (x + 1)y=x dy dz

A:

Q: Y X2 X3 140 4 8 260 6 12 350 7 10 470 10 5 590 13 10

A: Use the following formulae, to find the multiple linear regression equation with two independent…

Q: The logistic model P(t)= S Interpret P(0) Select the correct choice below and fill in the answer box…

A: NOTE: As per the guidelines we are supposed to answer only 3 subparts question. Please upload it…

Q: I need the answer as soon as possible

A:

Q: The dotplot below shows 2005 U.S. household income. Each dot represents half a million households.…

A: Given that Each dot represent half a million household

Q: C D A B Consider the graph given above. Give an Euler path through the graph by listing the vertices…

A:

Q: 2(a) Explain centroid of a triangle and rectangle with sketch.

A:

Q: 5. Solve the following linear equations using Crout's LU decomposition method. 2X₁ 5X2 + x3 = 12 -X₁…

A:

Q: (A) Find Laplace transform of the function: f(t)-t sin ( 21+5) cos(24-7) = 2t 2t (B) What function…

A:

Q: Select the graphical representation of the region R, which satisfies that: r6 6-y [[ f(x,y) dA= [[…

A:

Q: The probabilities of events E, F, and EnF are given below. Find (a) P(EIF), (b) P(FIE), (c) P…

A:

Q: ,0 2x²-1 x6 - 3x + 15 dx

A:

Q: To get a better approximation of the area under a curve using Simpson's Rule, the value of "n" can…

A: Explanation of the answer is as follows

Q: A polynomial p(x) = R²[x] has the coordinate x, 1+x+x²}. Which of the following is p(x)? (a) 3+ 2x +…

A:

Q: 3/18 (a) 17/18 (b) 1 (c) 13/18 (d)

A:

Q: .x'= = (² 3 -2 x, x(0) = 3 (²);

A:

Q: Eliminate the parameter f in the parametric equations z(t)=√t+1, y(t) = Sketch the graph of the…

A:

Q: Activity # 4: Inductive and Deductive Method A. Use inductive reasoning to guess the next three…

A: # As per the guidelines we are entitled to solve one question at a time (maximum three subparts)…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex, 0…

A:

Q: The value of A™ or h in Simpson's Rule is b-a O (b-a) n b-a

A:

Q: 5. x' = (4-3) 8 -6, X

A:

Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: Explanation of the answer is as follows

Q: Using Ralston's Method, calculate ys for the following: y xy² = 0, y (0) = 1, - h = 0.1

A:

Q: Q5. B. Solve the following first order differential equation using Linear method? ty' +2y=t²-t+1…

A:

Q: 36. The problem below shows steps in finding the product of two twe digit numbers using this…

A: Sol

Q: Given the Rational Function f(x) = Check all that apply. p(x) which of the following statements are…

A: I have given the answer in the next step. Hope you understand that

Q: Find Laplace f(t) = t sin 2t + S transform of the function TU 2 cos 2t T 2

A:

Q: 3. Let W be the subspace of R3 [x] spanned by the polynomials 1+2x+3x²+4x³, 2+3x+4x²+x³, 3+4x + x² +…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use Laplace transformation to solve the differential equation: y(0) = 1 and y'(0) = -3 y" + 3y'-10y…

A: Use the following formulae, to obtain the solution.…

Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8 (

A:

Q: Let F (x + e* siny)i + (x + eª cos y)j and the curve C: The right-hand loop of the lemniscate r² =…

A:

Q: 3. Answer the questions about the following function. g(x) = (x+12)(x² + 1)(x² − 1) (x + 1)(x −…

A: To find: Holes and asymptotes of the rational function g(x)=(x+12)(x2+1)(x2-1)(x+1)(x-14)(x2-3).

Q: A linear transformation T : R 2 → R 2 first reflects points through the x1-axis and then reflects…

A: A linear transformation T:ℝ2→ℝ2 first reflects points through the x1-axis and then reflects points…

Q: Solve for

A:

Q: (d) Solve the IVP in part (b) again using a different method. Must both solu same? Why or why not?…

A:

Q: You bought corn futures at $7.60/bushel and sold them back at $7.50. You bought corn in the cash…

A: Given Corn Future purchase price P=$7.60 Corn Futre Sold price S=$7.50 Corn cash price C=$7.25 To…

Q: 7. The absolute norm for tensor of two eigenvectors of A = (33) is (a) 3 (b) √3 O O b O O d a C (d)…

A:

Q: 2- Let the probability density function of the random variable X is - {²()* Then My(t) is (a)…

A:

Q: . As soon as a new value of a variable is found by ite in the following equations, this method is…

A:

Q: dz = 4y-7z 52-9

A: First we will show that the given first order differential equation is homogeneous then by using the…

Q: Suppose you are driving away from Morgantown. At noon, you are 75 miles away from Morgantown. From…

A: First convert the given interval into four subintervals and then find the values of function at left…

Q: For each xe X and a nbd: U(x) of x there exists another nbd.

A:

Q: how was the annihlator 1/(D^2-a^2) found ?

A:

Q: Consider the autonomous differential equation (y + 1)²(²-4). dt Determine all the equilibria and…

A:

Q: 6. To identify 3 x 3 matrix Abr fis positive definite if and only if cfr r> 0, r²- ab >0 and 4>0. O…

A:

Q: or the initial-value problem: ý = sint+et, 0≤t≤ 1, y(0) = 0, N = 2, the step size (h) is…

A:

Q: 12

A: The inverse of matrix A is written as A-1 so that  A A-1 = A-1 A =

Q: The normal vector to the plane. 3 tries remaining. 1 point(s) possible The unit normal vector to the…

A: The equation of plane is x+y+z=5. Now the normal vector is whose cordinates are given.…

Q: For the function f(z) = a pole of order 1 an essential singularity a pole of order 0 a removable…

A:

Q: Question 2. Show that for any integer n, 5|(n5 − n).

A: