21. Given: OR' 2· OR; OS' = 2: OS: OT' = 2· OT Prove: ARST ~AR'S'T' R' R T S' T'

Q: Solve y" - by'tlly - Slt-1), ylo)= 1, y'lo)=0 ylo) = |

A: The given function is  y''-6y'+11y=δ(t-1) The initial conditions are, y(0)=1, y'(0)=0 We find the…

Q: 2. Triangle JKL is dilated about the origin to create triangle J'K'L'. 40 Which of the following…

A: Dilation - A dilation is a transformation that produces an image that is the same shape as the…

Q: The Anctien fay 'and i not depned frather veher stake the demanin of sec d h....... the invens…

A: Given that f(x) = sec (x) ; 0<=x<pi/2. we have to find the domain of f-1(x). and we have to…

Q: 4x 16. 6x 7. 2y 17. 3y2

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Q: By using Newton Back ward of x = 2.5 use the table 11 23 19 56 4 g-8 -7 and find (y", y")

A: According to the given information it is required to find the value of x=2.5 using Newton Backward…

Q: (x²+y² 4. If u = sin-1 ( ) then prove that by Euler's theorem, x+Vy. ди X + y: дх ди 3 tan u. 2

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Q: ). Show that V - u -ly- tan' u < V - u 1- if 0<u<v, < tan 1+v? 1+u 4 2< tan 4 25 3 and deduce that 3…

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Q: fG) = sin h e2y : find f'(y) f'G) = e2y cot hezy O None of the above. O Option 4 f'6) = e> coshe…

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Q: みm 'cU24onba buimoll ut anos Give answers occurate to o tu100yら19 SONe the foilowing tigures 6.8=…

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Q: 21. tant u du 3 tan u — и + С

A: Consider the following equation:

Q: 8F OF OF 1. Use the formulas above to find and ду ax exy + sin (xyz) + In (yz) = 4 – z

A: Partially differentiate the function with respect to x.…

Q: r = 6cos0 eğri 40 - parçasının uzun O A) 2n O B) 8T OC) 12n O D) 67 O E) 4T

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Q: 5. " cos (w) sin* (;w) dw -2n

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Əz Əz and at Use the chain rule to find as || 8」8 z = tan (#). u = 7s + 9t, v = 9s - 7t

A: answers are given below.Explanation:

Q: +x- âu ду

A: ∂z∂u=∂z∂x*∂x∂u+∂z∂y*∂y∂u∂z∂v=∂z∂x*∂x∂v+∂z∂y*∂y∂vx=eucoxvy=eusinv

Q: 5] What is the particular solution ( yp) of the ODE ( dx +y 4e*)? a) Ae* b) Ax³e-x c) Ax2e* d) Axe-x…

A: Question 1 is soly.It is against the policy of bartalby to solve more than 1 question. Here is…

Q: 18) S cot z + 2 dz 2 Csc Z +

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Q: 18. Trangle 7(6,4, U(–4, 2, V2,-–3) is maped onto ATU'V'. a. Triangle TUV is mapped onto ATU'V…

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Q: Prove thatc (ũ x ô) = CŨ XỬ = Ủx CŨ.

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Q: 5. y" = 4 Α.x В. 2х? С. х2 D. x³/3

A: Take two time integration. To find the final result.   As per the bartleby guidelines I can only…

Q: 2. The lateral surface area S of a right circular cone is related to the base radius r and height √²…

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Q: Find the Euclidean metric tensor (in matrix form) for Spherical coordinates. if (x²) Spherical…

A: Given :             x1=x1sinx2 cos x3x2 =x1sinx2sinx3x3 =x1 cos x2 To Find : Euclidean metric tensor…

Q: S sin'a/cosadr =? Zcos"a – cosz) va O a. COST 3 cosT + C O b. + C cos I 3. O C. cosx O d. 2r +2 + C…

A: you are going to use these  formulae:

Q: дz дz Let z = sinh(7x + 8y). Find and ax ду дz ax дz ду || 7 cos(7x + 8y) 8 cos(7x + 8y) х х

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Q: 1-) L [ 2 sin ½ t cas ½ t) {

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Q: 2) al X,X2 =) y = Xi~ ? ,-,Xn ~lid exporen tíal ( 100 b) Xq, X2,--- Xn~ iid N(44i44)= ビ- ~? i=1 %3D…

A: Solution : a) Given : xi  ~ exp ( 44100 )   ; i = 1,2,3,...,n ∴ θ = 0.44     Y    = ∑1n Xi It is…

Q: The thermic effect of food (TEF) is the increase in metabolic rate after a meal. To model TEF which…

A: To find the interval of Increase of the function h(t) we need to calculate the value of t for which…

Q: fz=f(x, y), where x = e" cos v, y = e" sin v. Show that af af +y ду ди X = e2uf ду

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Q: 1. If Z = sin r+ 2 I+1 6. - ", find dZ/dr.

A: differentiate with respect to x

Q: 3) sinhz = z *, 8WJ ทรู) 2n 3 (en-j

A: We know,        sinh(z) = (ez - e-z)/2 Now,        ez = 1 + z + z2/2! + z3/3! + z4/4! + z5/5! + . .…

Q: Which of the following integrals will give the volume of the the solid formed by revolving the…

A: Here we will find out the volume.

Q: C)u= Inx, dv = ln x. dx (5) If x = 5sine,≤0 ≤ C#/2 D)u= x,dv= Then tan 0= A) 11 √25-x² B) √25-x² T…

A: Given that, x=5sinθ , -π2≤θ≤π2⇒sinθ=x5

Q: 64 If y = cos ax, prove that У У1 У г Уз У4 У5 |=0, where y Уб У7 Ув d' dx' у.

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Q: O C = Paith 4: 3+ las t+ I sint t=0.

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Q: 3) [I - cos х х

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Q: 65. The function z(u, v) = u cos v satisfies the equation dz cos U- ди sin v dz = 1. и до

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