Find an expression for the nth tion for the function cosh r

Q: Use Simpson's rule with n = 6 to approximate cos(x) d.x Keep at least 2 decimal places accuracy in…

A:

Q: Locate and identify the absolute extreme values of a. ln (cos x) on [-pai/4, pai/3], b. cos (ln x)…

A: a.Given:

Q: Use a linear approximation of f(x)=cos(x) at x=2π3 to approximate cos(123∘). Give your answer…

A: Given : function fx=cosx We have to approximate cos123° using the linear approximation of fx=cosx at…

Q: To evaluate the integral sin ³0cos (A) sin²0=1-cos²0 1-cos20 B sin ²0 2 sin20 sin cose 2 1+ cos20…

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Q: 3. Find the integral of these Trigonometric functions

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: 1. Using sin(0.1) = 0.09983 and sin(0.2) = 0.19867, find an approximate value of sin(0.15) by…

A: Take x = 0.15, x0 = 0.1, and x1 = 0.2, then y0 = 0.09983, and y1 = 0.19867

Q: use this to evaluate /x*sin (2x)dx

A: Integrating using by parts...

Q: Use a linear approximation of f(x)=cos(x) at x=5π6 to approximate cos(149∘). Give your answer…

A: Here we have to use linear approximation formula.

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

A: To verify: cosh2x=-1+cosh 2x2

Q: Prove the identity.   (cosh x + sinh x)n = cosh nx + sinh nx  (n is any real number)

A: The cosh x and sinh x are given by, LHS =

Q: Find the indefinite integral.

A: For the given expression:                       We can solve it using substitution method: Now,…

Q: The smallest positive number for which tan(3z) = 1 is z = .The next larger such number is z =

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Q: 4) state laylors your estima te 5) Using in Taylor's Theorem, show that the error in 3) for cos…

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Q: Let sin 0 = with A in QIV. Find the exact value of cos 20 %3D 315

A: A is in QIV. There cos is positive  So,

Q: (3) Estimate the error involved in using the approximation cos x = 1- for |x| < 0.01

A: To estimate the error involved in using the approximation cosx≈1-x22 for x≤0.01 The Taylor series…

Q: Find the limit of the trigonometric function .

A: We have to find the limit of the function: limx→06-6 cos x3 This is determinate form of limit so we…

Q: Evaluate the integral.

A:

Q: Write ∫ tan2k+1 x dx, where k is a positive integer, in terms of ∫ tan2k−1 x dx.

A: Given integral is ∫tan2k+1dx. Rewrite the above integral as follow.…

Q: In the given question, verify the identity:- cosh x - sinh x =- e-x

A: As we know that the hyperbolic function of the inverse trigonometric identity is given by as…

Q: Use Simpson's rule with n = 6 to approximate (2)soɔ cos(z) -dz Preview Keep at least 2 decimal…

A: Given ∫15cosxxn=6

Q: In the given question, verify the identity:-   sinh 2x = 2 sinh x cosh x

A: To prove  sinh2x=2sinhxcoshx.

Q: L {cos nt}

A: Solution

Q: Evaluate the integral.

A: We have to evaluate ∫3sinθ cosθ dθ Let substitute t=sinθ ⇒dtdθ=cosθ⇒dt=cosθ dθ Substituting the…

Q: 3. Give upper and lower estimates (in terms of n alone) for sin nb COs na + valid for all a, b; show…

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Q: The area (number) inside the one loop of r^2=4 sin2 theta is

A: We have to find the area enclosed in the loop of r2=4sin(2θ)

Q: 5) e Arcsin x

A:

Q: 3. Determine the values of 0 if 0 < 0 < 2n_given that cosx = – 0.3178. Explain your process.

A: Given query is to find the measure angel.

Q: Cualuate the tcasa infinite Sum t cos3. Cosi

A: We have to calculate the infinite sum of the series                   cos1+12cos2+14cos3+⋯

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 period N of the sequence x(n) = cos 8 (*)) + sin sin 15 60 O 15 O 120

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Q: . Estimate the root of the expression, f (x) = x² – cos x, using: d. MOSS using xo = -1 with error…

A: As per the question we have to find the root of the equation : f(x) = x2 - cos(x) = 0 With tolerance…

Q: Sketch, on separate graphs, each of the functions : (i)sinh(x). (ii)cosh(x). (iii)tanh(x).

A: Hyperbolic functions: These functions are defined as the algebraic expressions of the exponential…

Q: Find a value of θ in the interval [0∘,90∘) that satisfies each statement. Leave answers in decimal…

A: Given, (a) tanθ = 0.671972 (b) tanθ = 0.0945278 (c) cosθ = 0.784776 (d) sinθ = 0.980955 We have to…

Q: 4. Establish the identity using the sum and difference formulas: sin (m – 0) = sin 0

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Q: Find the period N of the sequence x(n) = cos 2nn cos 15 + sin sin 8 60 15 120 4

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Q: 4. As 0 increases from 90 to As ð increases for 180 to 270 degrees, describe the value of Cosine…

A: here we discuss the , some degree to describe the value of cosine and sine over the interval . cos…

Q: Find the area between the two curves for a = 13. %3D ,ra+ sin20 P= sin20 (Use symbolic notation and…

A:

Q: Q4. Expand tan 0 in powers of [0 – ().

A: we have to expand tanθ in powers of θ-π4

Q: 21: Using Bisection Method, find the Root of the following equa Cos (X) . = 0 for the interval (0,1)

A: # the answer mentioned is not correct  We need to find the roots of cos x = 0  in the interval (0,1)…

Q: Find cos using a sum/difference formula. Express answer in simplest radical form.

A: We have to find the value of cos-π12 by using the sum/difference formula.

Q: use the sum identity to evaluate exactly. Sin(π/12)

A: Given:

Q: find the reduction formula for tanx. Using this find Stan2xdx

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Q: Form the differenti al equati on by eliminating the arbitrary constants A and B from the equati on y…

A: Here we have the equation  y = ex (A cos x + B sin x)

Q: The antiderivative of Cos(3x) jis

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Q: 1- cos 0 1+ cos 0 sin 0

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Q: Each gives a value of sinh x or cosh x. Use the definitionsand the identity cosh2 x - sinh2 x = 1 to…

A: Since, we have been given that cosh x=135, x&gt;0  -(i)Our Aim is to find the values of the…

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: Find two angles in the interval [0, 360°) such that sin(x) = -0.61566 %3D

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Q: [sin’ @ cos' Ode

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Q: Maclaurin expension for cos(lnx)

A: The given question as belonging to the calculus in which we have to find the Maclaurin expansion of…