4y – 3 51 54 D 57 S. 17х + 3 7. Given AXPS = ADNF, find the values ofx and y.

Q: 16. Find all values of the constant c so that (xy + 1)dydx = 4 + 4c. -1J0

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Q: find the so Solutions of the equation by using the Foureir Trains forms 7²u (x, y, z, t)==-1/2 du (…

A: As per the question we are given the initial boundary value problem of the wave equation. And we…

Q: Q2) f(x,y) = 2xy x(s,t) = 3s-2t and y(s, t) = s²+4t. Find Je Je as at

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Q: 2 13 y+y+y%3Dx"+4X+12%

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Q: Q4/ B/ If Ø = (x³y²z) and A = 2xz i - 3y²j+ 3xy²k Find 0(ФА) ay əx the point (2, -1, 3)? at

A: Given: ∅=x3y2z and A→=2xzi→-3y2j→+3xy2k→  To find: ∂∅A∂y∂xat the point 2, -1, 3 To solve the problem…

Q: Let z=xln(x2+y²-e*)-154xy, x=te, y=est. If the value of Oz when s=2 and t=1 is equal to Ae?+Be, then…

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Q: (g) S 40t² 4t²+25 dt S du = u-atan ¹+C 4² u²+a² (be sure to list the parameters: a,b,u, du...etc)…

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Q: xt=0xt-1 + Et +0€t-1 assuming that ø| < 1, and E(?) = 0², E(et, &s) = 0 ts.

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

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Q: H In OJ, GH = 9, KL = 4x + 1. Find x. R 5. 5 S. GK

A: Given: GH=9,KL=4x+1  If from a centre a perpendicular is drawn to the chord, then a chord is divided…

Q: 2s – 3t aQ aQ - If Q(s, t) = .2 find and s + t2 ' as at aQ Əs aQ at II II

A: we use Quotient rule to find out partial derivatives

Q: 5+ e6z dx = %3D 4e3z Select one: a. None of these b. pe 31 edz 12 C. 12 C - 12 d. 교e 3z +C 12 12

A: To evaluate :  The interval  ∫ 5  +  e6x4 e3x dx

Q: Q38: If y = e2* sin 5x, then which of the following is true? e (a) y" – 4y' + 30y = 0+ - (b) y" –…

A: The given equation is y=e2xsin 5x

Q: Find for the following by using appropriate rules: dx i. y = Vt , x= ++1

A: Differentiate y and x w.r.t 't' And, Recall quotient rule

Q: 1. Given r(t) = (1+ 2t, t², 3 – t2), calculate r'(t) and T(t).

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Q: If MZLRK = 74°, then what is %3D m/KRM? L R/1 K J 3/2 N 4 6 M

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Q: Given z = 36t +24 and y = 252t2 + 144 da (i) dt 36 |3D dy (ii)- 504(t) %3D dt dy (iii) da (write the…

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Q: 4) Find dy where r and y are related by the equation r?y + r³ + 2y? = 5y.

A: Given  x2y+x3+2y2=5y Apply power rule to take derivative We know that , derivative of x is 1  and…

Q: az əz az p?(r+1) Q2: Find if you know that : z = др + pre2p+3r+4t ar 'at t3

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Q: L. Given 2+ 2r + br - 19z +15 - cx + dx? + ex +f, find the values of b, c, d, e and f. * + 2r +5 INP…

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Q: Q2) If y(0) = 0 and y'(0) = 0, ƒ (t) = e*t, %3D 1 y(t) = (D + 3)(D + 2)(D + 1)ƒ (t), determine y(t).…

A: Here first calculate differential part.

Q: Q1: The tank shown in the figure below is filled initially with water: a- Find the depth of water at…

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Q: Given y1 = Vi a solution of 4t²y" +y= 0. Find a second independent solution.

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Q: Q2. If the solution of the below first order D.E is y = C ef9) (+xy)y=y Find the f(x, y).

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Q: 522 – 7z+3 dz - 12 dt 15w – 13u? + w dw f) e) d)

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Q: Solve the following diffential eauations a) dy + 4 y = e dy 3n2y = そ? ea3 dy C) N + 2y = そマ dn

A: We need to solve DE.

Q: 7. y = sec x, y = V2, -TT/4 sxS/4

A: y = secx , y = 2,   -π4≤x≤π4

Q: M(t)=(1-t) then E(X) of X about the origin (2 (12 24

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (xiv) f(t) = 3+et – te-2t + e5t cos3t + 6sinh7t

A: As two questions are given , I will solve only the first one. Given : f(t)=3+e4t-te-2t+e5tcos3t+6…

Q: Q1: Find the value of constant (K) 31 k xy#e* dydx = 56 %3D 27 0

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Q: Find ∫C (ez - 1) / z  dz with C being z(t) = eit for 0 ≤ t ≤ 2π

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Q: Find 0?w/axdy if w = xy + ey y2 + 1

A: Given that: w=xy+eyy2+1

Q: For f(æ) = e? + 0.39a? – 2 with æo - 4.9 and æ1 1.9 apply steps of the secant method to obtain 22 =…

A: The root of the function can be calculated using the secant method. The formula for the secant…

Q: Q1: Find the general solution of the following first order D.Es? (Answer two only) CELE MAI ) c)…

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Q: d cSc z = -csc z cot z dz

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

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Q: Fmd the General /Practical solution FOT the Following DTFFeren tiat eauation. 3x*dy + 4y²dx + xy…

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Q: For what value(s) of k will y 1 be a solution of ty" + (t – 3)y' + ky = 2te¬2t? e2t

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Q: dy =ky, where k is constant and Yy=8 when =0, Also suppose that y=6 when 1=3, What is the dr %3D…

A: First isolate y with dy and then Integrate both the sides and the substitute the value given for y…

Q: Find dy for the given values of x and Ax y%3D5X- 6x, x= -2 and Ax = 0.1 dy = (Round to the nearest…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 28 29 30 7.0 Pre-Learming 1 Basir %3B 12 cm Lee's Col Matheuties Summer Festival S.J-54 5. 5 cm A…

A: As per our guidelins we  can solve only 1 question. Rest can be reposted. In question no 14 we have…

Q: If y = 2x-5, x is a r.v., then E(y) can be calculated by M', (t = 0)=(e-st M, (2t)) when t = 0. O…

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Q: te² i· k) dt V1 – ? 40.

A: Solving by definite integral we have

Q: see attached for question

A: For two congruent triangles, their corresponding sides and angles must also be congruent. We can…

Q: Suppose V Geom(p) with p = 0.09 and that W = 2V. Find P(W 2 8), giving your answer correct to two…

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Q: Find the Solution (1+r?)ds + 21[st²– 3(1+1²)²]dt = 0; when 1 = 0, s = 2. = (1+ s?)13-e-

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Q: Find dy for the given values of x and Ax. y = /2x+9; x=1; Ax= 0.12

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Q: t = x+ y Use the substitutions : to solve the S = x ди ди PDE : -2y 0, u(x,2x+1) = e. -- дх ду

A: Given PDE, ∂u∂x-∂u∂y-2y=0,   ux,2x+1=ex To find the solution of the PDE.

Q: Q6: Solve the following Higher-Order D.E. d³y d²y dy + 7- 5y = 0 dx 3 %3D - dx3 dx2 To find the…

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Q: Find the value of k so that the value of "(2y - 1) dy is 10. 1 3 4

A: Topic = integration Value of k is 4.