2. Solve the initial-boundary value problem du 3 au 0 < x < 47, t > 0 10 Əx? ди (0, t) ди (4т, t) — 0 t >0 0, 0 < x < T u(х,0) 0 < x < 4m 8, T < x < 4T

Q: 2.61 Let fn(x) = n 1. Prove: fn 0 uniformly on R.

A:

Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e-a²-y°…

A: Given function is fx,y=e−x2−y2cosxy. We have to find the first and second degree Taylor polynomial…

Q: The curve with polar equation 24 3 cos 0 +4 sin 0 = is a line. Find the slope and the y-intercept of…

A:

Q: dy Consider the IVP dx (2y – 3x)?, y(0) = 0.

A: Consider u as 2y-3x. Differentiate both sides of the equation u=2y-3x to obtain the expression of…

Q: find bap lale of ferr tne

A:

Q: Factor 10+ 4i into product of primes Z [i], (Hint: Ille= (2)(2)(29)) in %3D

A:

Q: (a)((x+1)² – y²)ª– (2(x+1)y – 10(x+1)²) = 0 dx

A:

Q: Q.2: Determine the roots of the simultaneous nonlinear equations, initiate the computation with…

A: Given the simultaneous nonlinear equations (x-4)2+(y-6)2=5 and x2+y2=16. We have to determine the…

Q: 0) Use divergence theorem to evaluate the outward flux of the vector field F(x, y, z) = r³i+y°j+zk…

A:

Q: The coefficients of the power series representation of f(x) = 1 about x-4 (centred at) a = 3 are O…

A:

Q: Suppose an organisation is manufacturing two products P¡and P2. The profit per tonne of the two…

A: Given that Profit/tonne Product 1 Rs. 50  Product 2 Rs. 60 Total available Machine hours/ weeks…

Q: -пя for all x € 0, 00). t fal(x) — же па for all z € [0, co). Find || fn||sup for all n. Prove that…

A:

Q: Q1) solve ÿ – xỷ = (2 – x²)e* y(0)=0, y(1)= e' , h=0.25

A:

Q: 2. Sole Laplace's equation for a rectangular region (0<x<1, and 0<y<1) subject to the given boundary…

A: Solution

Q: If A = 30ein3, B = 102-40°, C = 16.46 + Oi, solve for A + B + C.

A:

Q: Let P denote the set of all functions f on [0, 1] such that there exists at least one point x E [0,…

A:

Q: (n+2) 5" 23n n=1 diverges converges

A:

Q: A. ((x+1)? -y? ) dy dx

A: Sol

Q: Question. Express the real part of each of the following signals in the form Ae cos(@t + 6), where…

A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and…

Q: Get up the integrals equal to the area and the perimeter of the region S (ahaded in the figure…

A:

Q: Let C be the parametric curve defined by x(t) = t² – 2, y(t) = t³ – 3t + 1. Determine if C is…

A: Given that,A parametric curve C is defined byx(t)=t2-2y(t)=t3-3t+1The concavity of the parametric…

Q: 2.55 Let P denote the set of all functions f on [0, 1] such that f(x) > 0 for all x € (0, 1]. Is P a…

A: P is not a vector space.

Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(, y) for f(x, y) cos(ry) for (x,…

A: Given function is fx,y=e−x2−y2cosxy. We have to find the first and second degree Taylor polynomial…

Q: Find the volume of the solid generated by revolving the plane region bounded by the equations about…

A: Disk method volume bounded by x-axis and y-axis

Q: Consider the Cobb-Douglas function n f (X1,x2,..,Xn) = x"x. i=1 where x; > 0, and a¡ > 0 for all i=…

A:

Q: Solve the linear differential equation dy y 2x2 - dx

A: Given differential equation is dydx - yx = 2x2

Q: Which of the following is a not number theoretic function? (a) (b) (c) (d) greatest integer function…

A: We have to check that in the given option, which is a not number theoretic function.  Note:- In…

Q: 2. Using the Standard Ultimate Life Table at 5% per year interest, calculate (a) 10jä using…

A:

Q: 3 -2 1 If Ax = b where A = 3 5 -4 and b determine A and 1 2 -3 hence solve the set of equations. Use…

A:

Q: Let R be the region bounded by the functions f(x) = –2x² and g(x) = -8 as shown in the diagram…

A: Given curve f(x)=-2x2  and g(x) = -8For intersection point    f(x) = g(x)so     -2x2 =-8        x2=4…

Q: X1 ^ x2 – 2x2 ^ x3 + x1 ^ x4 -

A:

Q: 6. Determine whether the following functions are harmonic. (a) u(x, y) = 2e* cos3y and v(x, y) = 2e"…

A:

Q: 10 Cos 30 + j sin 30 9 Ccjs 1000)

A: Given expression iscos2θ+jsin2θ5cos6θ+jsin6θ10cos3θ+jsin3θ9cjs100θ

Q: 1 1 -3 8. Let vi = 2 2 and v3 = 5 2 be given vectors in R4. Which of the following vectors is -2 V2…

A:

Q: Q2) find eigenvalue eigenvector of A x(0,0) = (1,1)

A: Eigenvalues and Eigenvectors of the matrix

Q: Represent the problem with Venn diagram and answer the question based on the diagram. show solution…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Solve of the following equation 4 y' +y = x³y2 Given by

A:

Q: Question 4 Please simplify this fraction to its lowest terms 290/580

A:

Q: Let S be the surface generated by z-4 = -y revolved about the z-axis. Let S2 : a2 + y? = 4. Sketch…

A:

Q: Q.1: Solve the differential equation from t- 0 to 2 using the fourth order RK method with a step…

A:

Q: Example 2: A food product is made from soybean meal (50% protein, 10% moisture) and corn flour (10%…

A:

Q: Which of the following statements about conjoint analysis are True? (Multiple Right answers, please…

A:

Q: 2.52 Prove that Ca, b] is a vector space.

A:

Q: h2 Evatuate the followingcartesian integrato by changing them inte equivalent Pelarintegrals: 3-…

A: Using Solution Subject Double integral by polar form

Q: Find the root of x3−2x +14=0, correct to 3 decimal places using the Newton-Raphson method.

A:

Q: Find minimized SOP expression using K-Map with the given function: f (A,B,C,D) = TM (0,2,5,7,15) D…

A:

Q: 2 Which of the following is the inverse of f(x)= Vx* - 4?

A:

Q: у- 4y/ + 4y — е?" (12л? — 6х); у(0) — 1, у/ (0) — 0 %3D

A:

Q: 2.59 Find || f |sup if a) f(x) = x on (-1, ). So if x E Q, b) f(x) = – x² .2 if x ¢ Q. -

A:

Q: If dx and dx 2 , then the graph of y will have: A a local minimum at B a local maximum at x= 0 and a…

A: