Find the following commutator Sin (kx)] a2 (b) x) 33 (c)x²]

Q: 29. Show that sin x rif0<1 <2m.

A: Given a function sin x and 0&lt;x&lt;2π To show sin x&lt;x for all values of x such that…

Q: Prove that the equation sinx = 0.3 has at least one solution in the interval (o, ~).

A: Given:sinx=0.3

Q: Show that f Va²-t²dt = a² sin-¹(2) + x√a²-x².

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Q: Verify the identity tanh2 x + sech2 x = 1

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Q: Q3) Ify = in[sec 8 + tan 8) find

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Q: Apply Maclaurln's Serles to Show (-1)*-1,2=-2) 2(n – 1)1 cos X=

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Q: 2) DISCUSS The Contmuyo f Sin TX %3D

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Q: If n is an odd natural number prove that I =, xsinnx dx = sinx 2.

A: Consider the given: It is given that n is an odd natural number, Take n = 1,Substituting n=1 and…

Q: Evaluate: Jcos 2xdx cos2x cos32х + C 6 A 2 sin2x sin32x + C 6 B 2

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Q: find maclurin formula in the fourth degree for f(x)=secx

A: To write the maclurin formula in the fourth degree

Q: In [tan (5 + )| +o sec x dx 4 2

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Q: Compute Lim メーフ4 7x+5 -3 Sin ? X 2)x-70 3X イメ2+2 3) -00 X-7-00 2x-1

A: (1)Consider the given function with limit:

Q: 3. Suppose csc(A) 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII 4

A: The relation between the sides and angle of right angle triangle are expressed in the ratio called…

Q: 11. Use the substitution u = x/3 to prove dx tan 9+x2

A: Consider the integral

Q: Find an expression that is mathematically equivalent to (1 - cos(x) / 2) and in which excessive…

A: We will find the expression mathematically equivalent to the given term as following.

Q: Show that sin mx cos nx dx = 0 for positive integers m and n: i using the primitive, ii using…

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Q: In the given question, verify the identity:-   cosh2 x =- 1 + cosh 2x/ 2

A: To verify: cosh2x=-1+cosh 2x2

Q: Prove cos 4x = 8 cos4x − 8 cos2x + 1.

A:

Q: Verify the following results  sin 4x = 8 cos3 x sin x − 4 cos x sin x

A: Given questions are two individual questions. So as per bartleby expert policy only one individual…

Q: Verify the identity cosh2 x = (1 + cosh 2x)/2

A: We simplify each side using the formula of cosh(x)   Left side:

Q: Show that sin 3x and cos 3x are orthogonal on [−π, π].

A:

Q: Suppose that x = 2 tan 8. What is sec e equal to in terms of x? √4+x² 2 √4+x² X Option 1 Option 2…

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Q: Therefore, YZ-F Find the coc 1. (-2, 3, 5) an

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

Q: (5tan28 etan 28 sec² 2 Bd B

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Q: Prove the following equation : Cosh(3 x) = 4 cosh³(x) – 3cosh(x)

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Q: Evaluate V1-289z2 sin (16x) + C 17 1 sin 1 (17x) +C 17 sin (16x) + C 17 1. sin (17x) + C 17

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Q: Find sin 8. 4/5 4|5 m15

A: Take point in parametric form and compare with given point then solve

Q: Solve using the false rule method f(x) = /x² + 1 – tan x %3D starting at the interval [0.5,1]

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Q: Use the addition formulas to provesinh(2x) = 2 cosh x sinh xcosh(2x) = cosh2 x + sinh2 x

A: Our Aim is to prove the following identities:-(a) sin h(2x)=2 cosh (x) sinh (x)Proof⇒Since, sinh…

Q: Prove that the equation sinx = 0.3 has at least one solution in the interval(o, π/2).

A:

Q: 1 If f(x) = 8 tan¯¹(8 sin(2x)), f'(x) =

A: Differentiate

Q: Find the root of f(n) = 3x - cos(x) -1 = 0

A: Please rate and feel free to ask any query about any part.

Q: A force of F(x)=x2−cos(3x)+2, x is in meters, acts on an object. What is the work required to move…

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Q: Evaluate: tan( 4x- -In |cos (4x + 3)|+C B -In |sin(4x + 3)|+C -In |cse (4x + 3)|+C -In \sec (4x +…

A: the given integral,        ∫tan(4x+3) dx

Q: (8) If fCx) = 3x*- +4X +1, Sind

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Q: 5. 4 f sin + 2zdz

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Q: find maclurin formula in the fourth degree for f(x)=tanx

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Q: 3. Suppose csc(A) = where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: Evaluate the integral. sin (8t + 9) -dt. cos (8t +9) sin (8t + 9) dt%3D cos (8t+ 9)

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Q: Find , if z= cos(3x² + 7y°) O 2x sin(3a? + 7y³) sin(3x² + 7y³) -9x cos(3x2 + 7y°) -6x sin(3x? + 7y°)

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Q: Find , if da y = 3x cos4x 12x* sin4x – 10x cos4x None -2x4sin4x – 12x° cos4x -12x4 sin4x + 12x°…

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Q: Prove the below 3 sin 4x 4 cos' x sin 3x + sin' x cos 3x |

A:

Q: How do you evaluate ∫ sinmx cosnx dx if m is odd? What if nis odd? What if m and n are both even?

A: If n is odd use substitution with u=sin x, du=cos xdx and convert the remaining factors of…

Q: /2 Evaluate using Wallis' Formula: sin5 x cos6 x dx

A:

Q: Suppose f(x) =cos ( 3x – 2). Evaluate: A -3sin(3x - 2)+C ® -sin(3x- 2) + C sin(3x – 2) +C 3sin( 3x –…

A: Given function f(x) = cos(3x-2)

Q: Prove the below 3 sin 4x 4 cos' x sin 3x + sin' x cos 3x

A:

Q: (6) Given that In= tan" x dx, show that, for n 2 2. %3D In- In-2 = %3D n- 1

A: I think given question is slightly wrong. According to me the required proof should be…

Q: Prove cos 4x = 8 cos4 x - 8 cos2 x +1.

A: In trigonometric ratio,cos2θ=2cos2θ-1

Q: How many integers are there in the domain of the function f(x) = ln (x² – x – 12) + v25 – x² +…

A: The domain of a function is the set of input or argument values for which the function is real and…