Solve the following initial value and boundary value problem 0 < x < 1, t> 0 u(r, t) = Ut Uxx, uz(0, t) = ur(1, t)=0 u(x,0) = x² =

Q: Given: A = 2 -3 B = [4 -3 -1] C = = 4 1 -1] 0 2 2 0 D = -3 0 [1 E = 1 LO 10 01 10 0 0 1 1] 1 3 -1 0…

A:

Q: A generator having emf 100V is connected in series with a 100 resistor and n inductor of 2H.Obtain a…

A:

Q: S=100, Q* 15√100 (P*)-³ Q* = (15) (10) (0.15)³ Q*-_150 (0.15)³ =44, 444.44 15 (0.15)³ 44,444.44…

A: We have given formula for Q* is  Q*=15SP*3 and also S=100 , P*=0.15 . To find the value of Q* .

Q: The number of X₁ + X2 + x3 + x4 + X5 + X6 = 12 is C(12+6-1, 12) = C(17, 12). True non-negative…

A: It is known that the number of non-negative integer solutions to the equation: x1+x2+x3+⋯+xn=k is…

Q: Compute 3P and 2Q. If the scalar product is not defined, state how you know. (a) 3P = 3. (b) 2Q = 2.…

A:

Q: Factor by Grouping Factoring Review Decomposition Factoring Review Difference of Squares Factoring a…

A:

Q: The position of a particle x(t) on an axis has been monitored. The results are shown in the…

A: Given t x(t) 0 5 1 12 6 14 8 14

Q: 4. Use the method of separation of variables to find the general solution of the following 1st oder…

A:

Q: (B) Find the particular solution to the differential equation : +³ xy" y' when (-)-° 0

A: Introduction:  A specific differential equation solution is one with the formula y = f(x), which…

Q: Power Special Function Name y = x4 y = x5 y = x6 Quartic Quintic Sextic Graph 128 160 96 64 -20 32…

A:

Q: Solve the initial value problem y' = 6y5 with y(0) = 3. y(x) = f(x), with f(x) = 3 To input, say,…

A:

Q: 40. a. If A is a matrix with three rows and five columns, then what is the maximum possible number…

A:

Q: For each real-valued sequence, explain whether it is convergent, divergent to t∞, or otherwise…

A: We need to check the convergence and divergence of the following sequences, also we have to find its…

Q: a) Write a regular expression for all strings over {a, b} that contain an even number of a's and an…

A: (a)  we can divide Set of all strings over {a,b}  into 4 groups (1) Strings with Even number of…

Q: (i) (ii) Show that sin(A + B) + sin(A - B) = 2sin A cos B. Hence, find integers and m‡ n. sin(mx)…

A:

Q: Consider the solid # bounded below by the zy-plane, on the sides by the sphere p = 2, and above by…

A:

Q: Consider the set = {x € R¹ / 93x₁ +34x2 +26x3 + 18x4 ≤ 131, X₁, X2, X Show that x₁ + x2 + x3 ≤ 2 is…

A: Here, in the question a set is given : X={x∈R4/93x1+34x2+26x3+18x4≤131, x1, x2, x3, x4 ∈ {0, 1} } We…

Q: - 3. Given f(x) = 2x² − 3 and g(x) = 3x +1. Find f(-4), g(1/6), (fƒ+ g)(-1), (fƒ— g)(4). Solution:

A: Given f(x)=2x2-3 and g(x)=3x+1 We need to find f(-4) ,g(1/6) ,(f+g)(-1), (f-g)(4)

Q: Challenge Problem 2 The time-dependent displacement vector of a particle is defined as * = (6.00t³ -…

A: Given that displacement vector of a article is…

Q: Determine whether the given statement is true or false. {9, 17} #{17, 9} Choose the correct answer…

A:

Q: Find the laplace transform of So 0 t> ³T

A:

Q: Shift the index so the sum starts at 0: TL 3. Σ=3 n=3 n+1 i 4. Σ2 143

A: Given : 3.∑n=3∞ nn+1           : 4 . ∑i=2∞ ii2+3 To Find : Shift the index such that the sum starts…

Q: Prove that ¬(q→r)^s and q^ (sr) are equivalent using a truth table.

A: Introduction: A truth table is a table or chart that is used to demonstrate and assess the veracity…

Q: 2 (b) There are a lot of 2 x 2 matrices with entries in Z/3 and probably you don't want to list all…

A:

Q: || A|| = max ||zi||1, Ki≤m for any real m x n matrix A, where zi, for i=1,2,..., m, are the row…

A: To Prove: ∥A∥∞=max1≤i≤m∥zi∥1, where A is any real m×n matrix and zi , i=1,2,....,m  are the row…

Q: Solve the system x1+x2 XI X2 X3 X4 Answeris) submitted: XI H-E1-E +s = 1 =-5 x3+x4 = 4 +x4 = 10…

A: We have given a system of equation, x1+x2=1x2+x3=-5x3+x4=4x1+x4=10 Let us convert given equations…

Q: What is the square root of 1843?

A:

Q: Find the sum: 4. Guess the value of Σko(). k=0

A: Find the value of the given series  ∑k=0nnk .

Q: Problem 6 Find all sets A, B and C which satisfy the following. A= (1, IB, IC} B = {2,|A|, |C|} C =…

A:

Q: Let F(x, y, z) = (3ry2, 3r²y + 4r, re") and be an oriented surface of the solid bounded by the…

A:

Q: Determine the derivative dA/dx if cos²x sin(x²) 7x3 tan x A = sin 3x In x² 2x² +8 e¹-2x] 52x+1]

A:

Q: 7. Can you guess a general formula from the yious two problems? pre-

A: The main objective is to give general formula.

Q: 3 64s6

A:

Q: Let x, y, and z be an element of a Ring Prove that (y-z)x = yx - zx

A:

Q: tx t² +9 6. Find the solution of the differential equation x' = the given initial value condition.…

A:

Q: Determine whether the function xy²/³ + xy ³√x⁹ + 2y³¹ 1 √3' if (x, y) = (0,0) if (x, y) = (0,0) is…

A: Let us consider a function f then f is said to be continuous at c if f(c) is defined limx→cf(x)…

Q: (a) r’ = 4tz-2, 4t (b) r = H |

A:

Q: Show that y = sin (1/x) has no limit as x approaches zero from either side

A:

Q: QA// Find the Fourier transform for the function sh 2 Y(t) 2

A: We have been given the graph of the function as:   To find: Fourier transform of the given…

Q: b. Prove: If A is an mxn matrix and A(BA) is defined, then B is an n xm matrix.

A:

Q: (e4x + 2xy²)dx + (cos y + 2x²y)dy = 0

A:

Q: Three slopes are given. For each slope, determine at which of the labeled points on the graph the…

A: GIVEN:  The curve enters the window in the second quadrant, goes down and right becoming steeper,…

Q: A population gathers plants and animals for survival. They need at least 400 units of energy, 300…

A: We will form a linear programing problem and then solve it by graphical corner points method to find…

Q: 11. Suppose that a population P(t) grows in proportion to the population present due to the…

A:

Q: 1) Find all solutions of the form y=ert for the differential equation y" + 3y' + 2y = 0 2) Find all…

A:

Q: Solve the linear programming problem. Maximize z= 10x+10y subject to 10x+10y ≥200 10x-15y2-50 x+y≤45…

A: We will draw graphs of in equations to find solution region and then use corner point method to find…

Q: Solve the following systems by the equalization method. IN DIGITAL FORMAT c) 3x+4y=24 -x+y=-1 d…

A: c).Given:        3x+4y=24-x+y=-1}⇒y=24-3x4y=-1+x}now equate value of y from above:…

Q: Determine whether the statement below is true or false. If ACB and dEB, then dEA

A: Here we have to find whether the given statement is true or not.

Q: 2x₁ +4x₂ −5x₂ +7x₂ = 7 X3 −X₂ + x₁ = 0 2x₁ +3x3-4x₂ = −7 ¯‚X₁ −X₂ +2x3 + x₂ = 5

A: This is a problem of Determinant using Excel. One should use MDETERM tab under the function to do…

Q: lim (x, y)→(0,0) x² - xy √x √x - √y

A: We will find the following limit :    (x,y)→(0,0)lim x2-xyx-y