The position of the The particle is mov

Q: 4. The two differentiable functions f(r, g) and g(r,0) satisfy the identity 9(r, 6) = S(r cose, r…

A: Given two differentiable function are f(x,y) and g(r,θ)  such that g(r,θ)=f(rcosθ,rsinθ) given that…

Q: Find the integral surface of the linear PDE xp - yq = z which contains the circle x² + y? = 1, z=1.

A: From Lagrange method

Q: Calculate the value of 102 – 101 correct to four significant figures.

A: Given that  √102-√101

Q: 1) The probability density function of X is: f(x) = 4xe-2x x>0 Calculate F(5) = ? where F indicates…

A:

Q: Describe the procedures to find the factor of a matrix, matrix norm, column norm and row norm.

A: Factor of a matrix: Let,  A=1abc1bac1cab Performing row operations, 1abc1bac1cab…

Q: The Laplace transform of Le t] is 4 (s+3)5 4! (s+3)4 3! (s+ 4)5 4! (s+3)5

A: By using the formula of laplace transform of product of function and exponential function

Q: Evaluate e*y dx dy by using trapezoidal and Simpson's rules.

A:

Q: Qd-Qg+0Qd, +06s,10P, 10 OGd + Qs, tOQd +OQs, -hR-bPh = be OGd-06+Qd, -Qs,-Of-0R

A: Given:  Qd1-Qs1=0  ....(i)Qd1=a0+a1p1-a2p2  ....(ii)Qs1=b0+b1p1+b2p2.....(iii)  and Qd2-Qs2=0…

Q: The complementary function (C.F.) of the differential equation:(D² +3?)y=cos lz s. O ge* + cz sin 3z…

A:

Q: 1 If z = 8 -xy, find the percentage error in z when x = 3.14 + 0.0016 and y = 4.5 + 0.05.

A: Calculate percentage error: ∆zz=∆xx+3∆yy        =0.00163.14+30.054.5        =79723550        =0.0338…

Q: Show that the map t: V,(R) → V3(R) defined by 1(a, b) = (a + b, a- b, b) is a linear transformation.…

A:

Q: (b) Show that general solution of the second-order difference equation: ya+2 - Gys+1 + 8ya = 2+ 3.k…

A:

Q: 18. Find the complete integrals of the following PDES: (i) xp°q² + yp*q° +(p³ +q°) – zp²q² =0

A: Since you have asked multiple questions, we will solve the first question. Please resubmit the…

Q: valuate the integral using Partial Fraction Technique: 7- 5) (x – 9)2 dx

A: To evaluate: ∫xx-5x-92dx. Simplifying the expressio using partial fraction decomposition.…

Q: Prove that E = ehd.

A: By the defination, fx=fx+h....1∆fx=fx+h-fx∆fx=Efx-fx∆fx=E-1fx Therefore, ∆=E-1E=1+∆.....2

Q: Explain the term 'round-off error' and round-off the following numbers to two decimal places:…

A:

Q: Show that factorial polynomial represent the function: -1+2r – 3r2 + 42 is -1+ (2 – 3h + 4h²)æ(-1) +…

A: Given function, -1+2x-3x2+4x3 To show that the factorial polynomial representation of above function…

Q: For the function f(x) = 9x² + 12x + 22, find f'(x) f(x +h) – f(x) lim h 0 h O 24x + 22 O 9x O 9x +…

A: Please refer the image.

Q: The exponential series is given by e* =1+x++ 2! 3! + 4! Find the number of terms of the above series…

A: We have to solve given problem:

Q: )Show that given differential equation is exact hence solve it (cos a sin a - xy²) dx + y(1 – x²)dy…

A: We know that the differential equation  Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x Given differential equation…

Q: Find fxxyz for the following function: f (x, y, 2) = 40cos (9x – 2yz) + 18sin(3x + yz)

A: Given,       f(x, y, z) = 40cos(9x-2yz) + 18sin(3x+yz)   We need to find fxxyz i.e., to find…

Q: The Particular integral(P.I) of the differential equation A: (D +3)*y= 5 is 05 5. 27 O27 Clear my…

A: For calculating PI y is a constant. Let y=c. Therefore:  D3+34y=50+34c=581c=5c=581

Q: What is the main advantage of Newton's interpolation over Lagrange's interpolation?

A: Lagrange interpolation is mostly just useful for theory. Actually computing with it requires huge…

Q: 3. A thermally conducting solid bounded by two concentric spheres of radii a and b, a<b, is such…

A: Given that the temperature of the inner surface is T1 The temperature of the outer surface is…

Q: 2. A homogeneous thermally conducting solid is bounded by the concentric spheres r= a, r= b, 0b…

A: Let the temperature of inner surface is f1Q=T1. Let the temperature of outer surface is f2Q=T2. Let…

Q: Find the value of lim f(x), if f(x) = 7x + 3 x 7 O 10 O 88 O 17 O 62

A:

Q: To find a particular solution for y" - 6y' + 9y = x² + 10 with the method of variation of…

A: The given differential equation is a second order non-homogeneous differential equation with the…

Q: If p = 3c° – 6c², find the percentage error in p at c = 1, if the error in c is 0.05.

A:

Q: Q2/ The following data represent the sales of a private company for the period 2005-2010 Answer each…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Please solve it quickly

A: We write diffrence between exact and approximate number

Q: Find out the general solution of one-dimensional wave equation in spherical polar coordinates by…

A:

Q: Q. 03: Find f(0.23) and f(0.29) from the numerical values f(0.20) = 1.6596, f(0.22) = 1.6698,…

A: