2) f(1)=t sin(@t)

Q: s sin(3x) + cos(5x) – sin sin)ax |dx

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Q: evaluate using the appropriate method or combination of methods.

A: Use 2sinA*cosB=sin(A+B)+sin(A-B) formula

Q: 2 Use the trapezoidal rule with n = 5 to approximate sin(x) -dx. 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 ,5…

A: Trapezoidal rule

Q: Obtain the general solution to the equation dr +r tan 0 de sec 0.

A: Given first order differential equation is drdθ+rtanθ = secθ. We have to find general solution of…

Q: = 0, t>0 ▪ = T, = 3 sin 2x 0 0

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Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

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Q: 2. Evaluate J dx (cos³x sin³x)

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Q: 2. (a) Find the tangent line approximation to sin(x) near r 0. (b) Is the tangent line approximation…

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Q: 6. Find the values of 0 in [0,27) where the tangent line of r = 2 + 2 sin e is horizontal or…

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Q: 2 sin(t) s(t) = et

A: Part (a) The displacement of the object is, s(t)=2sintet Integrate the expression with respect to t…

Q: Q#2 (a): Find root of the equation 3x + sinx – e* = 0 by secant method correct to six decimal Places…

A: # we are entitled to solve 1 question at a time ,please resubmit the other question if you wish to…

Q: olve the equation on the interval 0s0<2x V2 sin0- sin 0 = 0

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Q: 4. J (cos x – sin x)²dx

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Q: 2. Given: cosh x==(e²+ e*), sinh x=(e-e), use these 1-1/1 definitions to show that cosh’x−sinh’x=1.

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: I = ∫2/5 sec θ tan θ dθI = 25∫ sec θ tan θ dθI = 25∫1cos θ.sin θcos θ dθI = 25∫sin θcos2 θ dθ…

Q: At what points the curve x = 2a(cos(t))-a(cos(2t)), y = 2 a(sin(t))-a(sin(2t)) has vertical and…

A: Given: The curve equations are shown below. x=2acost-acos2ty=2asint-asin2t Calculation:…

Q: 2. Differentiate. f(t) = et sin(2t)

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Q: x4 1 If u = tan(- + y° x² – y² - then show that ди du + Y- ду X - = sin2u dx

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Q: (a) / sin sin(8x) + cos(7.x) dx (b) / (3x – 5 sin dx 2 (c) / cos(3t) + sin(5t) dt

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Q: f'(t) = sin 8t - cos -/-

A: You are correct

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

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Q: A particle moves along the x-axis with velocity given by v(t) = 5 sin (t) for time t> 0. If the…

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Q: 1. [* sin' y cos' ydy 3

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Q: Q! O show th at [x sin'x + V1-x²] = sin'x sin x

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Q: Find the equation of the line tangent to the graph of f(x) = -2 sin (x) – 1 at'x = =. (Enter an…

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Q: at æ = 0 for 12 sin(t)dt.

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Q: al equation sin(t) with y( solution for this hen t belongs to ||

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Q: 3. Find tangent line to x = 2 cot 0 y = 2 sin? 0 at 0 = t/4

A: First  differentiate  and find slope use equation of tangent line

Q: What is the antiderivative of sin^2(x) + 2sin(x)?

A: Antiderivative of sin^2(x) + 2sin(x) is given by,  ∫[ sin2x + 2sinx ]dx =∫sin2x dx + ∫2sinx dx

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A:

Q: dr Suppose x and y are functions of a third variable t. If sin (x) + cos²(y) = ² and dr what is the…

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Q: Evaluate: S 0 tan¬(0)d0 arctan(8)–0 Sarctan 0 + C 2 arctan(0) 0 zarctan 0 + C 2 arctan 0- 0…

A: Please refer the attached image for complete solution.

Q: Suppose x and y are functions of a third variable t. If sin-(x) + cos°(y) = = and dr dy what is the…

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Q: Find the linear approximation of f(x)=sin(x) at x=3π4 and use it to approximate sin(134∘). Give…

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Q: tan (e) 1+z* (d) (22+ cosh 2z)dz () z coshz dz zp-

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Q: 3. S sin? (2t) cos³ (2t) dt 4. ſ tan³(3x)dx

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Q: 2. Find the linear approximation to hly)=sin(y+1) at y=0. Use the inear approximation to approximate…

A: linear approximation.

Q: The value that will satisfy potentia. function p is x + y sin x None = In (x +y %3D

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find fif f'(0) = 2 sin 0-sec²0

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Q: 0 sin√xcos√x √x dx is equal to

A: To solve the given integral

Q: In integrating the function f(3x + 5)(cos) dx using integration by parts, what would be your v? v =…

A: The integration by parts is done using the formula: ∫udv=uv-∫vdu. In general, the ILATE rule is used…

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Given indefinite integral,∫7sinθ3 dθwe have to find indefinite integral and check our answers by…

Q: 2 cosh V5t + t5 1 -2t sin 2t

A: Definition of Laplace transform :Let f(t) be a function Laplace transform of the function is…

Q: Find Duf at P. 3 4 f (x, y) = sin(x – 5y); Р(5, 1); u = i и %3 - - NOTE: Enter the exact answer. Duf

A: This is a directional derivative problem

Q: Evaluate the integrals in Exercises

A: Given integral is ∫0π2costi-sin2tj+sin2tkdt

Q: The actual error of the approximation of I = x² sin (x³) dx using composite Simpson's rule with n=4…

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Q: Find the linear approximation of f(x)=sin(x) at x=2π3 and use it to approximate sin(121∘). Give…

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Q: I. Verify the following identities: 1. cosh x- sinh x = e* 2. sinh(-x) = –sinh x 3. cosh(-x) = cosh…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q.1\Find (1) I=S tan³(5x) sec²(5x) dx. (2) =S dx x3+2x3+1 Q.2\ Find if y = lIn sin (x) cos(x*).V1+x)…

A: As per our guidelines I am solving only first question please resubmit other questions.