Find the value of e if (sin e + cos 0)* = 0, where < 0- c0

Q: (a) Is Rolle's Theorem applies for the function ƒ(x) = cos(sin¬'x) on the closed interval [-1, 1]?…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

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Q: If sin' 0+y cos e sin e cos e and x sin e = y cos 6, prove that x + y* = 1.

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Q: Verify the identity. 4 cos(sin-1 x) = V 16 – 16x? Let e = sin-1 x = sin e = x = X. * Thus, 4…

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Q: 5. Find the e xact Value. ) sin I Sin( 6. Wtan sint 3.

A: (1) We have to find the exact value of the following -  sin-1sin7π6Since sin-1 and sin together will…

Q: S 4- e-2) cos(e- + In z) dz

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Q: y = log (cos(2x) );y'=* %3D %3D O 2 tan ( 2x ) / In (10) O - 2 tan ( 2x ) / In (10) O 2 cot ( 2x ) /…

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Q: Locate the first positive root of: f(0) = sin(0) + cos(1+ 0²) – 1 Where 0 is in radians. Use four…

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Q: implicitly, if e"(e – 1) + sin(2r + 5y) = In(v7) -- cot(2x) Find

A: Implicit functions are thise functuon in which we can't separate variables. We have to difderentiate…

Q: n RL circuit has an emf given (in volts) by 4 sin t, a resistance of 100 ohms, an ductance of 4…

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Q: Suppose that at any given time t (in seconds) the current i (in amperes) in an alternating current…

A: For any function , ft , which is continuous and twice differentiable.f't=0 will give point of…

Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

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Q: -When the (4tan e. tan2 0 = 1),the value of (0) from 0° to 360°.

A: We will use the formula tan2θ = 2 tanθ1-tan2θ Hence 4tanθ . tan2θ = 14 tanθ2 tanθ1-tan2θ = 18…

Q: Evaluate in terms of gamma function: x°e-3¤ dx O r(7) Or(17) O(7) OI(7)

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Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the…

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Q: 1+cos 0 + sin 0 sin 0 Prove = 2 csc e 1+cos e

A: To prove : sinθ1+cosθ+1+cosθsinθ=2cscθ

Q: e n'rdr 17 cos'x Sin 2. 4

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Q: 3. S cos ædæ from a = 0 to b = 5

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Q: If k0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to [−sin(kx) + sin³(kx)] + C the…

A: To evaluate the integral.

Q: ) prove thaE cos ( x) dx =- T e x" + x2 +l 213

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Q: establish each identity.

A: Given  The identity is ln sec θ=-ln cos θ

Q: Find the linear approximation of f(x)=cos(x) at x=3π/4 and use it to approximate cos(137∘). Give…

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Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

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Q: 1-Show that the function defined by the base harmonic function f(x, y) = ex cos 4y

A: As per our expert guidelines we are allowed to solve only one question. kindly repost others. thank…

Q: E(- 1y**cos(nx) n=1

A: see 2nd step

Q: log, eln 5)(arccos(x)) simplifies to a) arccos(x) b) cos(x) c) None of these O d) 5 arccos(x) O e) 5…

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Q: (a) Show that cos(x²) > cos x for 0 ;. 1

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Q: sin x – e-* = 0, [0,1]

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Q: find sin x cos? x dx 75. 76. sin 2x sin (cos 2x) dx er dx et + e* (e2x + e)² dx 77. 78. x + 1 e* + 1…

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Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx-

A: To evaluate we first multiply and divide by 2 the given function.  Then use the formula: 2(sin(mx)…

Q: Please find all 0 <o< 2m, for which .. (a) tan (을) =D v3 (b) 3 sin²(0) + 4 = 5 (c) 2 cos(ln(x² + e")…

A: As question has many subpart we are giving solution for first three subpart. If you want solution of…

Q: 20 cos COs 47. lim e e>0

A: By using the formula cosx+cosy=-2sin[(x+y)/2]sin[(x-y)/2], we have

Q: Given In = S cos" x dx = - cos"-1 x sin x + In-2 ; %3D n/2 determine a reduction formula for cos" x…

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Q: b. Express tanh x in terms of e* and e-* and hence show that 2 tanh x tanh 2x = 1+ tanh? x' c. Given…

A: (b) To proof :   tanh2x=2tanhx1+tanh2x It is known that, sinhx=ex-e-x2coshx=ex+e-x2 so,…

Q: 2 tan 4x dx The is equal to 1- tan 24x A. In(sec 8x) + C B. In(sec 8x)8 + C 1 C. In(sec 8x) + C D.…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 1) Using the formula: cos(x + y) = cos x cos y - sin x sin y, prove in steps that: cos? x = 1+cos 2…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1) Using the formula: cos(x +y) = cos x cos y - sin x sin y, prove in steps that: cos? x = %3D 1+cos…

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Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value…

A: we use the formula ddx(ax)=ax lna

Q: Determine the value of the serie 4∑ ((-1)^n)/(n^2) *cos(nx) at the point x=1

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Q: Show that where n is a positive integer.

A: To show

Q: 5. Evaluate 1. S, sin(x2) dx

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Q: Find the value of k if 1 х cos(3x) dx 1 3* x sin(3x) + — сos (3x) + C. k

A: .1. ʃ (u.v)dx= u ʃv.dx - ʃ(d/dx(u) . ʃv.dx)dx       Where u and v are function of x 2. ʃ sin(ax) dx=…

Q: 4. Use Gamma function to evaluate the integral: sin? (40) cos (20)d0.

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Q: 9. Prove that | sin n0/sin 0| <n, limiting values being used when sin e = 0.

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Q: d. Show that sin ž is exists or not? e. Verify that the derivatives of sinh z. f. Solve the value of…

A: The solution are next step

Q: Verify this identity: sin 0 csc e = 1 1 A. cos 0 . 1 cos e sin e cos e В. cos e sin e 1 C. sin 0 . 1…

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Q: 9. Evaluate ſ,(cos x – 1) dx. Tt/2 - π/2

A: topic - definite integral

Q: 2 Recall thal cos-x= arccos x, Find /2 X Sin (cos x) dx. C.

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Q: Evaluate D°(cos x+e-2*) (A - cos x +64e -2x B - sin x – 32e -2 cos x – 32e-2 D sin x +64e -2x

A: Explained below