1. Using analytical method to solve the given differential equation. A steady-state heat balance for a rod can be represented as dx2 d?T - 0.15T = 0. %3D Obtain the solution for a 10-m rod with T(0) = 240 and T(10) = 150.

Q: IF S= 5A<(2E-D']find the value of the following #1 P11 # 4 P21 #7 P31 #2 P12 #5 P22 #8 P32 #3 P13 #6…

A: To find the required matrix :-

Q: 3(1+6) – log(5+ sin(VI+yi)) +4(z + 2)-3 Draw a parse tree for

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A: 7 False 8 True

Q: Solve using method of undetermined coefficients: y" + 4y = e3x. %3D

A:

Q: I. Show that the function f defined by 1, (x, y) = (1, –1) %3D f(r, y) = { r² + y (x, y) # (1, –1)…

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Q: Newton's method Employ Newton's method to find all solutions of the equation 0 = 2 – 2 cos(2r) – 4x…

A: Solution : f(x)=2-2cos(2x)-4xsin(x)+x2-x4 f'(x)=4sin(2x)-4sin(x)-4xcos(x)+2x-4x3 f(x)=f(-x) f(x) is…

Q: 2.5OLVE BY GAUSS ELIMINATION METHOD 2x - Y+ 32 =-3 3X +3Y - Z= 10 X- Y + Z = 4

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Q: A cone with an altitude of 40 cm has its base radius changing at the rate of 2 mm/s. How fast is its…

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Q: Find the Laplace transform of 1. f(t) = [1– Uz7(t)](2 sin t – sin 2t)

A: Given the function ft=121-u2πt2sin t-sin 2t  We will find the Laplace transform of ft

Q: prove a Bolzano–Weierstrass theorem and explain on how you prove the theorem. Thank you

A: Solution:-

Q: Jy cosy smy dy 3

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Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…

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Q: 4. Consider the subspace V of R' given by 1 3 V = span (a) Find an orthonormal basis for the…

A: Solution:-

Q: ») Shade the region in the complex plane defined by {rec: s |z+ 2+ 2i <1 4i E C

A: Complex plane

Q: Find the laplace transform of the following: a.) f(t) = teatcosbt b.) f(t) = 7t + 6et - 2et - 10…

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Q: QUESTION 22 The following adjacency matrix corresponds to a directed graph. Determine if the…

A: We have to find the solution.

Q: 11. Carry out a single-variable search to minimize the function 12 f(x) = 3x + on the interval <x…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

Q: II. Let U = R I = {x € R|x° – 14x³ + 45x = ( J = {x €R|x° 2}. Find the following. All infinite sets…

A: I={-3,-5,0,5,3} We have I={x∈ℝ|x5-14x3+45x=0} Solve for x in  x5-14x3+45x=0 We get I={-3,-5,0,5,3}…

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0 %3D

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Q: dz dz IV. Suppose z is a function of x and y, and tan Vy2 + x2 = z"e&y. Solve for and dx

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Q: Instructions: • Solve the following SLES in a clean sheet of paper (preferably bond paper). - Show a…

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Q: 2. Using Gaussian Elimination a.3x + y - z = 1 b.x - у+z%3D-3 c.2x + y +z= 0

A: Solution :-

Q: 1. Solve the simple concentration problem P.D.E. xux + U̟ = 0 ,-0 < x < ∞, 0 < t <∞ I.C. и(х,0) By…

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Q: b. e d

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Q: Theorem 12. Let V be a finite dimensional inner product space and te Hom (V, V). Then linear…

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Q: For the table shown below, calculate the first f '(3) using the five points formula:…

A: We have to calculate f'3 using the given five points formula.

Q: 5.19 Consider the mapping T: L'(0,2) L'(0, 2), (Tf)(x):= f(t)dt. (i) Show that T indeed maps L'(0,…

A: We will use the basic knowledge of functional analysis to answer both the parts of this question…

Q: 2 0 The total of the Eigenvalues (A, + 22 + A) for the matrix 1 4 -1 is -1 2 О а. 5 O b. 13 O c.…

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A: Given data X=a,b,c with the topology,  τ=X,ϕ,a,b,c,a,b,a,c,b,c

Q: 6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

A: Solution

Q: .3. Let K be an extension of a field F. Let

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Q: Q6) Find the approximate value of A and B in ya = x(1 – x)(A + Bx) where y + x² = 0 and y(0) = y(1)…

A: Given data A polynomial  ya=x(1-x)(A+Bx) A differential equation  y"+x2=0ord2ydx2+x2=0 Boundary…

Q: (c) Using the hyperbolic identity cosh² r – sinh r = 1, and without using a calculator, find all…

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Q: Find a harmonic conjugate of the function u(x, y) = arctan(x/y)− 6

A: Solution :-

Q: 1. Let G be a group and let H, H, .. H, be the subgroups of G. The ...

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Q: Given the adjacency matrix of a graph: 0 20010 0 110 1 0 120 0 00 10 1 Answer the following…

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Q: dz dz and ду IV. Suppose z is a function ofx and y, and tan Vy? + x² = z*e©y. Solve for

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Q: 5 solve the 1UP: y% 4y(2)+ 3y'= Y1)=e+ % ,uG) = et %

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Q: DO NOT include spaces in between characters. * The point (3,2 )is on a curve, and at any point (x,…

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Q: dz and ду Suppose z is a function of x and y, and tan Vy² + x² = 2*e6y. Solve for

A: This is a problem of partial differentiation.

Q: Question 3 (4-u (2y+z -5y over surface S: f(u, v) =2+v ), (u, v) E [-1,1] x Cive surface integral of…

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Q: Give the VALUE only. No need to include the unit of measurement in your answer. DO NOT include…

A: Let's suppose Volume of plane cell is C. According to the question: Rate of increase per day after t…

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Q: Determine whether the series are convergent or divergent. Justify your answer

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: Determine the area of the region below. A. 1.5 sq. units B. 1/2 sq. units C. 1 sq. unit D. A sq.…

A: Solution

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A: This is a problem of Graph Theory.

Q: Let Q be the field of rational numbers, then show that e(vZ, v3) = Q(vZ + J3).

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Q: Consider non-neja tive CnTeger soluTions of X +Xa fXg + X4+ X5+X=30 O)o How many di Staent solutione…

A: This follows from a standard formula of the number of solutions to x_1+x_2+...+x_r=n. The detailed…

Q: Compute the determinant of the following matrix 1 а а? 1 b 2 1 c a A =

A: Solution :-

Q: Given the first order differential equation 1.1 using the substitution y = vt. 1.2 dy 2y2+12 = dt…

A: Given differential equation is  dy2y2+t2=dt2yt⇒dydt=2y2+t22yt         .........(1)