Ql:B // Given X = i- 5j + k, Y = -4i + j-k Find each of the following : a: • ỹ b: y * * c: +X

Q: 12. If KR= x +7, KM = 3x -5, and JL = 4x – 10, what is JR? %3D %3D

A: Given: JKLM is a parallelogram.

Q: 3-Evaluate Fdr where 2X Cisgiven by rit) = t3+U-3t)rék

A:

Q: e the triple integral: (x+y+z)dydxdz 6 24 18 12

A: Topic :- application of integration

Q: Show that (a) 8(at) =8(t), (b) 6(t) = 8(-t), %3D %3D la|

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: If y = exp(-x²) show that -2xy and hence prove that, for n > 1, %3D y(n+1) + 2xy(") + 2ny("-1) = 0.…

A:

Q: 'ind the Wronskian of any pair of solutions to 2t?y" + 3ty' – y = 0,t > 0.

A:

Q: What is the general solution of rydx (2² + 3y²) dy = 0 ? %3D 6y² In y = C O + 6y² In y = Cy² %3D

A: Given: xydx-(x2+3y2)dy=0

Q: Q2/ A/ Find the and ar * iff (x.y) = x - xy, x=r² +s and y =r-s as

A:

Q: D = {(r, y) : 1 <Ise, 0<yS In(r)}

A:

Q: I shift as in Example 4.9 to find the general solu b. (2D – 1)²y = 0 + czx?)e2x

A:

Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1   Find the general solution.

A: The given differential equation is: y''-y=4cost So, we can also write as: D2-1y=4cost So, the…

Q: Q5: Find the solution of the following D.Es: 1- x + 5y = x7 at x = +5y 2- y" + 4y + 2y = 13e³x 2, y…

A:

Q: Given that y' = 2x2 – y + 3y2, where y = 0.5 at x = 2. Estimate the values of y(2.2) using the…

A:

Q: What is the solution (ry – r) dr + (x²y + y) dy = 0 when 2 and y = 1

A:

Q: z= em and a = 2t– 2s?, y = 2s – 2t, find az at t = 1, s = 1. at

A:

Q: Q2: Find the aren bounehd by y=x and y =X+2

A:

Q: 3. If GH = 7x + 18 and JK = 81, find x. %3D H G 丰 K %23 世

A: In this question given that two triangles and both are same . Their sides are same and we can say…

Q: 8. Let D be the rectangle given by -1<ys0, 1s x< 3. calculate ff,(x2 + y)dydx

A: 8. We will evaluate the given double integral. Given integral is ∬D(x2+y)dy dx with the limits…

Q: B. In each exercise, obtain the particular of solution. 2. y(9x - 2y) dx - x(6x – y) dy = 0; when x…

A: Differential equations

Q: The reverse order of J Só 3xe dydx is equal to 2(e - 1) е - 2 -e

A: After changing the order of integration, solve it.

Q: Use 4t order Runge-Kutta Method to solve dy = y' = x+y, y (0) = 1 & Y(2) = ? Use h = 0.5

A:

Q: Consider the following IVP: y"+a2y = 0; y(0) = 1, y'(0) = 0   Find the general solution

A:

Q: 2. If LM = 10 and PS = 11, what is KN? ls 3. If PS = 2x + 4 and KN = 5x+ 2, and LM =-3x + 8, what is…

A:

Q: 10. What is 2ri 2 fo, h (z) dz?

A: curve C3 encloses points of singularity z=-2 and z=0 in clockwise and counterclockwise directions.…

Q: One 56 Use fPicard method to approximate y when a= 2, given that y=1 when r=o and dy da

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: d²y Compute dz? at the point (1, 2) given a² – y² = -3. a) 3 b) 4 9 d) 8 e) O

A:

Q: -3y(In x)' +3x* (In x) y' =0

A: First simplyfy the given differential equation.Then taking integral on both sides and solve it.

Q: dy 5t vi (In(t) + 1) Vi dt

A:

Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: When two resistors having resistances Ri ohms and R2' ohms are connected in parallel, their combined…

A:

Q: sec²(3vt) dt (4) VE

A: According to the bartleby guidelines I have to solve only first question in order to get the…

Q: - show that; L-1[e¬v$] = e %3D 2tynt

A:

Q: V9-r² S xydzdydx •3 (d) S So

A: We have to find value of given triple integration

Q: If y = u³ - 2u + 1, where u = 2√x, find at x = 4 -23 23 33 none of the above dy when x =

A:

Q: Find nalytical salution to Pnti = (r+)+m possible. an Simplity as much as

A: Given equation is: Pn+1=r+1Pn+m⇒Pn+1=rPn+Pn+m⇒Pn+1-rPn-Pn=m

Q: 3. If PQ = x - 5, QR = 2x – 1, and PR = 21, find x. %3D

A: Explained below

Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC

Q: ON 7 e the double integral || (8x+y)dA R rectangle R = {(x,y) : 0sxs5, 1s pe only the final answer.

A:

Q: Find mZR. Q 28 28-/2 R mZR = | %3D Submit

A:

Q: Find two values of n such that y = enI is a solution of y" + y' – 72y = 0

A: Given differential equation,  y'' + y' -72y = 0 To find the solution of above equation in form of…

Q: Given f(*, y) = 8a'y - 4cy. Compute:

A:

Q: H = 2 = 0, n2 = 22 and n, 18, thus df is: %3D %3D

A:

Q: What is the general solution of xydx (22 + 3y2) dy = 0 ? - %3D 22 + 6y2 In y = Cy? %3D Gylny = cy?…

A: To find  The general solution of the given differential equation.

Q: 2ste-tds + (s²e-t – t)dt = 0

A:

Q: The x, y, zER, subject to the condition yz + zr + xy = 12. Then greatest value of ryg is (a) 6 %3D…

A:

Q: Use variation of parameters d²y +pdty+94=Fx) plem) to find a particular solution to y" – 2y - 15y =…

A:

Q: d. ý <(1+s)y, ,h=o•2 yCi) = e

A: