Problem 5 A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4 L/min; the well-mixed solution is pumped out the same rate. Find the number A(t) of grams of salt in the tank at time t.

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A: It is a Numerical Analysis problem and let us approximate the  values of f'(0.8) and f"(0.8) correct…

Q: Example 2.28. Find a real root of 2x - log 10 iteration method. 7 correct to four decimal places…

A: The give polynomial is 2x-log10x=7. To find: the root of the polynomial.

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 5. Suppose f(n) = xn is a function defined for all integers greater than 1 such that: X log2 In…

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

Q: Example 2.34. Apply Muller's method to find the root of the equation cos x = xe which lies between 0…

A: Here we need to use muller's methode.

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Q: e point where t = =1+

A: Given: Equation of two curve R(t)⇀ =t2,1-t2,t and r(t)=cost . To find, Parametric equation of line…

Q: Given A = 1078 and B = 222. Find the Greatest Common Divisor, d = GCD(A,B) Based on your answer in…

A: We need to find Greatest Common divisor of 1078 , 222. We will use Euclidean algorithm for that ,…

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A: Consider the given figure. We have to find the lateral area of the prism. The lateral area of the…

Q: (3) Draw the missing figure on the sequence below and provide solution/explanation:

A: SOLUTION

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Q: Advance Engineering Mathematics: Find the Z Transform of given signal. Show your complete solution.…

A:

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A: Given curves are x2=8y, x=4 and the x−axis. We have to find the moment of inertia of the area…

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Q: Find the principal value using De Moivre's Formula 1. (1+i)2 6 2 (1-¹) * 2. 2 2

A: The given complex numbers are 1.   (1+i)2 2 .    12-32i6

Q: 35-36. Find the solution set for the constraints in the figure below. 3x + 2y ≤5; 2x + 5y ≤6; 3x -y…

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Q: A closed wood storage having a volume of 27 in.³ is to be in the form of a right-circular cylinder.…

A: We will use calculus to maximize volume

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A: To find the area bounded by each of the given curves :-

Q: Find Laplace Transform F(s) for the variable x or y in the equations a- y"+2y'-3y=32e³; y'(0) = 12,…

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Q: Example 4.12. Obtain by power method, the numerically dominant eigen value and eigen vector of the…

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Q: 32. Evaluate: lim X18 10 (x + 1)¹⁰ + (x + 2)¹0 + 10 X + (x + 2012) ¹0 ... + 2012¹0

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Q: Solve for x: Assume x is a negative number. 6 x - 4 = 2 = 0 -21

A: Solution

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Q: 3 x = y + z- w = 2 -x + 2y - z - w = -1 2x - y - z+ w = 4 x + 3y - 2z - 3w = 6

A: 3

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Q: Solve the problem Utt = 36uTz u(0, t) = u(1, t) = 0 u(x,0) = 4 sin(2x), PDE: BC: IC: u(x, t) = =…

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Q: If A = {x+|x-1| : xER), then which of ONE the following statements is TRUE?

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Q: If ß is such that sin 230, the of the following two values?

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Q: Find the Laplace transform of the following: t, 2. g(t)= (t-4)², (9t-e20-4t, t<3 3<t<5 t≥5

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Q: 10. The tensile strengths of stainless steel cables of different diameters are investigated to give…

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Q: I'm sorry. I am just confused with the answer. Does x= -4 and y=0 are the lower bound of the…

A: Solution

Q: 2. y'" - 4y" + 5y' – 2y = 7t — 5, y(0) = 0, y'(0) = 0, y'(0) = −2

A: 2

Q: Example 2.36. Find the cube root of 30 correct to 3 decimal places, using Horner's method. (

A: Formula  ∛a ≈ x ((x3 + 2a)/(2x3 + a)) a = number whose cube root is being calculated x = integer…

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Q: Which among the equation represents for equating the coefficient of x form 3x+2 = (A+B+C) x^2 +…

A: To find The equation that represents for equating the coefficient of x. And to find the value of x.

Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

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Q: Find eijen values and eigen vectors 5 For M = 5 QNO:7 7

A: We need to find eigenvalues and eigenvectors for , M = 5775 For finding eigenvalues we need to find…

Q: III. Determine the validity of the following arguments using the long truth-table method. : (Note:…

A: The logical symbol "∨" is used to denote "OR". The logical symbol "·" is used to denote "AND". The…

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A: ddx(uv)=udvdx+vdudx ddxxn=nxn-1

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Q: Example 2.38. Show that the generalised Newton's formula x+1=xn-2f(x) If '(x) gives a quadratic…

A: Please find step by step solution below:

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Q: Use the matrix 1 0 11 E -1 1 0 0 1 2 to obtain the Hill cipher for the plaintext message "HELP ME".

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Q: Find the Fourier Series of the given periodic function. if -n≤t<0 f(t) = ={-1; if 0≤t<nif(t+2n) =…

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Q: Example 4.16. Using House-holder's method, reduce the following matrix to the tri- 1 diagonal form:…

A: First check  about the symmetricity (A square matrix  A is called symmetric if A=AT) AT=143412321…

Q: G Н

A: for G graph :- there are 7 vertices , and we can use edge contraction method.  if we take one…