Find the egetion of the tanqent line on the interval (o,5) to co.1, 6.2)

Q: → find period of 8- @yotan 2 y. 5 cos 1o* 10 yo 11

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Q: Compute the following derivative: tan e dr 30 – cos 0

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Q: Give the degree of 0 = tan-(-V3) if it exists. measure %3D

A: topic - inverse trigonometric ratios

Q: Find the sine transform of 1 and deduce that et - eT TLX F, (cosech Tx)= 1 tanh (p/2).

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Q: b. Prove that 2cot (20) = cot(0) - tan(0)

A: To prove the identity.

Q: With mean theorm, show that | cos x - cos y| < ]x – yl for all of x and y at R www.wwwnn

A: Mean Value theorem

Q: Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)

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Q: Find the value of u in the interval 30°, 90°4 in decimal degrees, if sin u = 0.27843196. Give the…

A: sin u=0.27843196⇒ u=sin-1(0.27843196) Now by using a calculator, we have…

Q: ) Prove that 2+sinZA Cos A-SinA

A: To Prove: cos3A-sin3AcosA-sinA=2+sin2A2

Q: 6. By using u = tan 0, evaluate | tan 0 sec*e de .

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Q: Q. Use first principle rule and proue that if y=s %3D secl tand = secx

A: Given: y=secx We know that for any given functiony=fx, first derivative is given by…

Q: Show thatI cos ve (-1/4s)

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

A: Topic = Integration

Q: cos プ7 loove -> the on interval the

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Q: Find the Residues of given points 1 at z = nt sin z

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Q: if f(2) = zsin(z) -1 defined on the interval (2. 3] then es using False-Position method equals [x in…

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Q: V/ Prove that: (1) tanx= cot

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Q: Use the addition formulas for sinh x and cosh x to prove tanh u + tanh v tanh(u + v) = 1+ tanh u…

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Q: 8. Show that cos a – cos y| < |x – y| for all æ and y.

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Q: Find the first 3 Zerms o Sinx et a =?

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Q: Use linear approximations to estimate the following. 1. sin 9/4

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Q: Use the trapezoidal rule with n = 5 to approximate cos(x) -dr Keep at least 2 decimal places…

A: The trapezoid rule is

Q: Evaluate et sin z cos z dr I COS using Simpson rule with h 20

A: Simpson rule  ∫abf(x)dx=h3f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x4)+⋯+4f(xn-3)+2f(xn-2)+4f(xn-1)+f(xn) Where…

Q: Assuming that |a| < 1, find the value of cosh ax dr. cosh x

A: It is given that,a&lt;1, we have to find the value of              ∫0∞coshaxcoshxdx

Q: Find the length of the path over the given interval. (sin θ − θ cos θ , cos θ + θ sin θ ), 0 ≤ θ ≤ 2

A: Given (sinθ-cosθ,cosθ+sinθ)    0≤θ≤2

Q: Use Simpson's Rule with ne4 to estimate Cos"xdx COSTX ☺ For ☺ an upper bound for the estimate. Hint:…

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Q: HW /Prove that: (1) tanx=cot

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

Q: .Find the estimate for the root of f(x) = sin x+ cos (r+1)-1using Bisection methodx, = 1.5, X=2 with…

A: Solution

Q: Find the extrema of the function on the given interval, and say where they occur. sinx+cosx, 0 less…

A: Given f(x)= sinx+cosx ------(1) let's differenitate (1)f'(x) = cosx -sinx

Q: The integartion of [sin(sinØ)]Ø cos dø Is: cos(sin0)+C -sin(cos Ø) + C O -sin(sinØ) + C O -cos(sinØ)…

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Q: Compute the length of the curve r-4 sin 26 for Approximate to three decima places.

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Q: Find the length of the path over the given interval. (5(0 - sin(0)), 5(1 – cos(0)) ), 0 < 0 < 2n

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Q: (b) Can we use the IVT to conclude that f (x) = tan(x) equals 0 for some c in (0, 1)? %3D

A: We can answer first question among which you asked as per the honor policy. please resubmit the…

Q: 1 Use the definition of the hyperbolic functions to prove the identity 1– - = tanh?(2x) cosh?(2x)

A: Explanation of the answer is as follows

Q: Find a series of cosines of multiples of x which will represent (x sinx ) in the interval (O, x) and…

A: Let's expand x cos(x ) , xcosx=x1-x22!+x44!-x66!+...=x-x32!+x54!-x76!+...             in 0,x To show…

Q: show that1) d/dz [cosz] = -sin z , 2) 1+tan2 z = sec2 z

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Q: Use the addition formulas to deriv TT 31. cos(x - sin x 2

A: Prove that cos( x  - π/2 ) = sinx Here we use general formula : cos( A - B ) = cosA×cosB + sinA×…

Q: Use Simpson's rule with n = 4 to approximate /" cos(2) -dr

A: Given: ∫16cosxxdx Here a=1, b=6 and n=4  h=b-an∆x=6-14∆x=54∆x=54

Q: Calculate under the function f(x)=tanx, from x=0 to x=3, by using Trapezium rule let the number of…

A: Find the integration using trapezoidal rule.

Q: 1 Use the definition of the hyperbolic functions to prove the identity 1- - tanh? (2x) cosh (2x)

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Q: Let w- fx.y.) - :), x- cos(), y sin(» and :. Then:

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Q: interval [−2π,π) that satisfy the given condition tan2s=3.

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Q: find an bound on me crror that can upper result if cos x is approximated by: over the in trval…

A: To find- Find an upper bound on the error that can result if cosx is approximated by: 1 - x22! +…

Q: (i) By making the substitution o = tan 0, demonstrate the validity of %3D Parseval's theorem for…

A: Consider the function as ft=e-tdt

Q: Find the value of s in the interval [0, n/2] that makes the statement true. Round to four decimal…

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Q: find the intergral of f(x) = sin(x) + cos(2x) on the interval [0,pi]

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Q: 6. y 45

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