solve the following differentral efuation x2y-x²dysyf cose

Q: Verify the following identity by algebraically turning one side into the other:…

A: we have to prove that1+tan2u1-sin2u=1

Q: --9. Determine the possible values of AACT if AC = x+2, CT = 2x AT= %3D %3D

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Q: One of the following has only one nilpotent element Z[i] = {a + bi : a, b e Z}

A: Given problem is :

Q: If the L[ eat cos2t] = (s-a)/( s2 - bs +31), determine the value of a.

A: Some of the formulas of Laplace transform Leat=1s-aLcosat=1s2+a2Leatcosbt=s-a(s-a)2+b2

Q: Prove the following Cscxcotx/secxtanx=cot^3x

A: Cscxcotx/secxtanx=cot3x

Q: Evaluate the followingintegrals.

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Q: let CRIW) be usual top. let A= Co1] Finel usual Fop. A Arand Bod (A)

A: Definition: Let X be a topological space and A⊆X. A is closed if the set Ac is open The interior of…

Q: 1- Evaluate the following integral: 1 1.25+ cos W

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Q: Give the exact value of the following: 5 - cos - T Preview | 4

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Q: Find an equivalent algebraic expression for the coMPOsition: @ Sin@rctan 2) Dtan Gres in) ☺ seckcot"…

A: (a) Let, sin(arctanx)=yarctanx=arcsiny           ..............(1)Again let, arctanx=t,…

Q: Find the bonded be aren

A: In this question, the concept of the definite integral is applied. Definite Integral A definite…

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A: Given the right angled triangle ABC ,

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Q: Evaluate the followingintegrals.

A: We have to evaluate ∫-π4π4sin22θdθ Here given function is even and  we know that if function is even…

Q: Find the first four terms in each gortion ot ths seneJ Solution Groud 2-2 for Me fellowng…

A: Here, first we will find the solution of the ODE by power series method about x0=-2,then we will get…

Q: See picture below.

A: Consider a function f(x) such that:

Q: Let gt): csc (U) for Oct C! and CSC 2- 13/2- 2 How do I find fogle)

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Q: Calculate the value ofsin30° – tan45° + cos60° – cot45° O 2 O -1 O 4

A: To determine the value of: sin30°-tan45°+cos60°-cot45° Concept: Values are:

Q: Let Xvuniform(0,8) then E(x-2)

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Q: Evaluate the following: 1. [cos 3xdx

A: We can solve the integration as below.

Q: 21.2) S coE cos Va dx /x

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Q: I For each, compute the velue,or show Shieeryent" (date i sachintegaf ở "impropari!) কেতাদে) 3 da…

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Q: One of the following has only one nilpotent element Z[i] = {a + bi : a, b E Z} M2x2(2Z) ZOZO Z6

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Q: of the following isa solation so the d tial guatin (a) =2 +2 (b) y-vor43 (e) y--ve+2 (d) All of the…

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Q: Compute cos (2). As a helpful comment, notice that 4. 4 O V3+v2 || kko

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Q: Find the DE of the following by eliminating the arbitary 1. tanx-2x3y=c

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Q: dq + q = 4 cos 2t dt

A: Given that, dqdt+q=4cos2t On comparing with general equation dydx+Py=Q ⇒P=1, Q=4cos2t, dx=dt…

Q: z has a power (z) is

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Q: A, Use the dddition Rormulas to derive the identitie arll sin(x- II) = - CosX

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Q: 2 cos®0 d0

A: The integration is used to find area under curve, it is done by slicing the area into small parts…

Q: use the given Corditions 10 find the exact values. of sin(2u) cosQu)rtancz) usingthe doube Aingk…

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Q: Find the area inside the loop of the following limacon. r=6-12 sin 6

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Q: Calculate the following 212 5i + 3n lim 3n3 i= 8n2 T 00

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Q: eces. To form a le, so that the a

A: It is given that, a wire of length 20 feet is cut in to 2 pieces. X+Y=20 Here, X=2πr is the…

Q: Use symmetry to evaluate the followingintegrals.

A: Let a be the positive real number, and f be an integrable function on the interval -a,a, If f is…

Q: Find a value of a in [0°, 90°] that satisfies the given statement. sec a = 1.3165054

A: Simplification

Q: Show a Check for each. In othe 4) Find a. / (z + 4) dz

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: If Cov(x,y) = 0, then X and Y are uncorrelated Select one: O True False

A: If two variables are independent then their covariance is zero and we, say that they are…

Q: 15. Evaluate o" Sy" cos(x?) dxdy,

A: Given: I=∫0π∫yπcosx2dxdy   So, The region bounded by the lines x=y, x=π, y=0 & y=π is as shown…

Q: Prove the following identity Cos2x/1+radical2sinx=1-radical2sinx

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Q: 1 1 The identity I = [ |" dixcy=f, S* * dydx is

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Q: E. Prove. 1+ cos20 – cos²0 = cos20 %3D

A: To prove:- 1+cos(2θ)-cos2(θ)=cos2(θ)

Q: Prove the followling identites 9) A-7-A 2. gn gntt

A: a) Given, ∆-∇=∆∇ Take LHS, ∆∇fx=∆∇fx Since, ∇fx=fx-fx-h ; Here h is the step size. and ∆fx=fx+h-fx

Q: (e' – 1)y' = 2 + cosx

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Q: Find the supremum of the set A = { cos (1/n): n E N}, if it does not exist then state so.

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Q: 34) find the Maclaurin senes for fC2)= Cos 32

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Q: 6. Solve the following difterence equatrm using z-T. b. yck)- y(k-1) +yCk-2) = 2 sin H -yck-2)=2sin…

A: Given y(k)-34y(k-1)+18y(k-2)=2sinkπ2               (1) Since Zy(k-1)=y(-1)+z-1Y(z)…

Q: Prove the following identities by choosing one side and manipulate until you arrive at theother…

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