sec (e)2tan(e) 1+3tan (e)

Q: IRI- 2. <| sinz|< -e 2

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Q: x=2- secy, x=2, y = 3 and y = 0; about x = 2

A: Using Washer method, we find the volume of revolution of the given region. The formula is for the…

Q: sec² x dx V4 - sec² x

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Q: Find the limit.

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Q: (sec x -1)(sec x-1)

A: To multiply: (sec x -1)(sec x-1)

Q: 1 dx -1 1+ 3x²

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Q: arcsin = ab x² – Va² – y²; Find y'.

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Q: 1 + cosh(x) 1 + tanh(x) 1- tanh(x) 1 cosh(x) cosh(x) + cosh(x) – He* + e*) + e* - o*) e* + e*) - e*…

A: The objective of the question is prove the given identi

Q: Find the limits

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Q: lim (x, y)-(0,7/4) sec x tan y

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Q: 1. tan 30d0

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Q: Leb Fur =ue Show thab f6/0 )c

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Q: 2² cos(4x) dæ

A: The given integral is ∫0πx2cos(4x)dx Using successive integration by parts by taking x2 as a first…

Q: sin 1(e") 2. lim (- V1-e2

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Q: EXAMPLE:- Method of variation of parameters. Solve the nonhomogeneous ODE %3D sec X COSX

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Q: sin(3 – x) lim с2 — 5х + 6 x→2 x2 – 5x + 6

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Q: sechx+cshx b) prove that e2x cshx-sechx

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Q: e² tan (e²) b) dr I sec2 (e-) – 7

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Q: tan - (i – 3) = %3D 2 | Log|-i-1|+i0 + i2kㅠ 2 |Logi-1+i0 +i2kt -2 2 Log - 1- – i0 + i2kT | | 3 |…

A: In the given question we have to find the value of tan-1(i-3). Formula used:…

Q: 6] y= 4x+2–- 5x6 Standard Form: Degree: Sign of LC: as x→-0, y → as x 0, y→

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Q: cot2 x+1 2. sec(2a) 11 cot2 x - 1 1

A: We will start with the right side. Replace cot x by cosx/sinx Then use LCD to add or subtract…

Q: Bernoulli's Equation Obtain the particular solution when x=3 and y=2: 2xyy' = y2 – 2x3

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Q: lim-o t- sin 3t² 1-cos 2t

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Q: Establish each identity.

A: Establish each identity.      sec2θ=sec2θ2-sec2θ

Q: Limi Delermine wbikr Hi Lim 3z4

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Q: Show that every member of the family of functions y = (ln x+C)/x is a solution of the differential…

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Q: chain rule to differentiate the following 1 y = sec 4 sec* (√x + 3)

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Q: y-y-coshx Ans.

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Q: 1/2 dx 1-х4

A: Let 1-x4 = t

Q: tan-1 z = 1 – j2

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Q: tan - (i – 3) = 2 Log i-1|-i8 + i2kㅠ 3 i |Log -2 i-1+ i0 + i2k 3 | ㅠ 2 Log .i-1 |+ i0 + i2kㅠ 3 2 +…

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Q: domain of g(t)= sin(et-1)

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Q: Confused on this.

A: topic - trigonometric identities

Q: y= cos(e-12)

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Q: sec2 x 2. csc2 x = %3D sec2 x-1

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Q: sin(2h)(1 – cos h) h2 lim

A: Consider Then simplify the function

Q: 21 y=-5x Degree: Sign of LC: as x→-0, y→

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Q: sec (In x) + sec2(In x) tan(In x) dx Given: 2x Find: du

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Q: 7topic: implicit differentiation

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Q: sec-1(V2+h)-sec-1V2 (ii) ļim h-0

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Q: (sin(x), x 4 x, k(x) = f(x) = -x2 + 4x – 2, х — 6,

A: Consider the given function as fx=sinx     x&lt;0x         0&lt;x&lt;2-x2+4x-2…

Q: -1 -sec"(x) =: dx -csc"(x)= Explain why the modulus x Given that and dx is needed here.

A: Definition used -                                        ddxsecx =secxtanx…

Q: 1 х-х2 dx -8 2

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Q: cos (x)+cos(x+x)= 0 = cosʻ (x)+cos(T+x)=0

A: cos2(x)+cos(π+x)=0 use trigonometric identity cos(π+x)=-cos(x) The equation becomes…

Q: Lim 8X +4=4 Cos X +tam

A: To find the given limit

Q: Newton method √11

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Q: sec-dx 3 - 3 In sec – + tan- + C | 3

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Q: lim sin(2z) = z-/3 %3D /3 2. 1/2

A: We need to find limx→π3sin2x