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Q: H.w Find the enlsed between yasinx, ya cas X arca

A: In the question it is asked to calculate the are enclosed between y = sin(x) and y = cos(x) when x…

Q: 3) | (1– cos² 2t) dt (Trigonometric int.)

A: ∫0π(1-cos22t)32dt

Q: Define ro = 0 and xn+1 = In chis to Newton's method. tan(r,)-1 sec2(z,) What is lim, Pn in this…

A: In the given question we have to find the limit of the sequence xn as n→∞ where the recurrence…

Q: Pind yl with im Picit differentir tion Cosと+ Sinxニ)

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: Let 5 sin æ + 6 cos y = 6. dy dx d?y dx?

A: 5 sinx +6 cosy = 6  Differentiating w.r.t x,  5 cosx +6 (-siny) dy/dx = 0  dy/dx = 5cosx/(6siny)

Q: Given that Sinh Ys 2. fnd sech x, eanh y with draw atiangle

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Q: b,c,d

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Q: Give the number of complete oscillations that will occur over 1 minute for a mass- spring system…

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Q: Hiw proo p. s (sinh at) =_a s- at Notes at

A: Explained below

Q: (Sece tana) Sec de Cot e Cos?0

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Q: Integrate cot(r) In(sin(x))dx.

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Q: 1. Find the area under one arch of the curve y = cos- :cosex.

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Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

Q: 3. Find the area under one arch of the curve y = sin(2r).

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Q: cos(48°) Use differential to approximate the value of

A: Cos 48° The nearest value to 48 whose cosine value can be taken is 45.Let us consider :x = 45° and…

Q: Find the arc length of y=In tanh 2 2<x54 Select one: sinh 2 In sinh 4 O None sinh 4 O In sinh 2. 4…

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Q: tan y dy + In (secy) In (6)sec® de

A: Given data:     The given integral is: . The given integral can be written as, Assume Let…

Q: Find the area between the inner and outer ovals of r = 4(1+sine

A: I am going to solve the given problem by using some simple calculus to get the require

Q: sinh(In In a)da is equal to xlnx

A: To find:∫sinhlnlnxxlnx dx

Q: S) - aresin 2. 2 arcsin 2. is constant for 0sxs 4.

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Q: B. Use the trapezium rule with 6 ordinates to estimate fe* dx correct to two decimal places.

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Q: Determine the so luti'on of the equertion: dy dx2y cot x= 1- 2xcot 2x- 2csc 2x

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Q: & dy +16y=-Si Sinx

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Q: cos tdt Calculate following integral: . sin²t + 16

A: You can solve this integral using the substitution method.

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: What is the area of the region between the sine curve and the x-axis from to 2 ? -1 2 1 4 3.

A: Here we have to find the area of the region bounded by the sine curve and the x-axis from π2 to 2π.…

Q: is 4= Sinh(2sinhix) shaw Hh at %3D 2 (a)

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Q: if Pen) = Sinh(nw) find F(Z)=?

A: There is an exponential representation of sinhx. Whenever we analyse various properties of sinhx, we…

Q: arsualuate the faltowmg integgal dx 4 Sin?x

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Q: B) If sinh 0 V3 Find cosh 0, tanh 0, coth 0.

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We have identity, cosh2θ-sinh2θ=1 Putting…

Q: dx = ( sin 2y – 2x cot y) dy is ? -

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Q: Find the si0pe of the given Function 1.) hlx) = sin x cos 3x at * = 3 メ 2.) y= In at メ = -2 メー! 3.)…

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Q: Differentiate y= 3-carhx tespect to X 6+ Sinh x

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Q: cand. find dy at

A: Given that     If y=x2 - 4x and x=√(2t2+1) We have to find dy/dt at t=√2 .

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (5t), 8 cos (5t)),…

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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: Find the points on the cardioid r = 4(1 – sin0) at which there is a horizontal tangent line, a…

A: According to the given information, it is required to determine the horizontal tangent line,…

Q: If y= tanu, u=v-- -, and v=ln x, dy at x= e? dx what is the value of

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Q: -arc sin y dy 5 Answer with text and/or attachments:

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Q: find the arca of he shaded regon. Ue a calcularor apter xmng up tde integal. cos 20

A: Let r1=cos2θ and r2=2cosθ. We know that a polar coordinate is represented as r, θ, where r=x2+y2 and…

Q: Arc lenght of Curue y=ln(sinx) at intervol I sxS Ę

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

Q: The length of one arch of the curve y = sin x is given by L = | VI + cos² x dx. 0, Estimate L by…

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Q: Determine the speed (in meters per second) of a particle with a trajectory (2 sin (3t), 9 cos (3t)),…

A: Consider the given parametric equation of the trajectory of the particle, 2sin3t,9cos3t so we can…

Q: 3. Find if (a) y = 22" In (cot (7x)*) (b) y = sin? (Arcsin (T) +e-*)

A: Part(a) We have y=22xlncotπx2 We will use product rule and chain rule.  Product rule says:…

Q: Particular Intecral for the differen tial equation (0+0ly=Sin k is given by . * COSX * Sinx Sinx D0.…

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Q: 16. S cot xdx /1 + In sin x

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Q: Integrate this item using (parabolic) Simpson's rule, with interval width of 2.00 units. x tan x +…

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Q: Find the common elrea between Y=2CI+Cose) and carved V=Z(1-Sine) which is Losatel in the funrth…

A: Let's find common area between given two curves. Common area in fourth quadrant.

Q: 2 [arc cos ( Incs-2) fdz ( Incs-z>) ] dz

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Q: Cualuate the definle integial. x33 COs (xH) dx

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