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

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A: The sine function is positive in the first and second quadrant. We can use inverse sine function to…

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Q: 1. Find the exact values of sinh (0) and cosh (0) using their definitions.

A: Sinh x=ex-e-x2∴ sinh0=e0-e-02=1-12=0∴sinh0=0      cashx=ex+e-x2∴cash0=e0+e-02=1+12=1⇒cash0=1

Q: Use the trapezoidal rule with n = 5 to approximate 3 cos(x) -dx Keep at least 2 decimal places…

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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: Evaluate / cos“(x) sin³(x)dx. Include "+c" in your answer.

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Q: Question 3 Use the trapezoidal rule with n = 5 to approximate %3D 2 cos(x) dx. Keep at least two…

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Q: 6. f cos¹ 2 xdx

A: Given,  ∫ cos7 2xdx

Q: Q3. Use substitution to show that x = n is a solution to the equation sin(x) – cos(x) = 1. Show your…

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Q: 12 If sinh x= find cosh x, tanh x, coth x, sech x, and csch x. 35

A: Given, sinh x = 1235   We have to find  cosh x, tanh x, coth x, sech x  and  csc hx

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A: Given function f(x)=4cos(2ln(x))

Q: Estimate the error if P2(x)= 1 - is used to estimate the value of cos x at x-0.7. Error - (Simplify…

A: to estimate the error

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: Evaluate (cos x In sin x) dx. Select the correct response: O cos x (In sin x-1) +C sin x (In cos…

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

A: To prove  sinh2x=2sinhxcoshx.

Q: 4 Find a sinusoidal function that matches the given graph. If needed, you can enter =3.1416... as…

A: solution:-

Q: 2. Find the exact value a. sin'' -1/2 b. arccos - с. tan-1(tan - )

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Q: Q3: Let cosh(x)3D5, x>0 , Find values of: sinh(x), tanh(x).coth x ,sech x,csch x

A: Given, cosh(x)=5, x&gt;0

Q: Find amplitude and period of function 1/3 cos pi x

A: function is 1/3cosπx here the standard form = AcosBx where A = amplitude period = 2π/B using this…

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Q: Use the tangent line approximation to evaluate the following in two ways. First, find the tangent…

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

A: The trapezoid rule is

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: An object attached to a spring oscillates around a position and is represented by the function y = 2…

A: Note : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Establish each identity given in attachment.

A: To establish the identity: lntanθ=lnsinθ-lncosθ Solution: We know that, tanθ=sinθcosθ Property of…

Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

Q: 1. cos x |? ecosx sin xdx

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

Q: Use Simpson's rule with n = 4 to approximate cos(r) -dx Keep at least 2 decimal places accuracy in…

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Q: 926 By computing the first few derivatives and looking for a pattern, find dx 926 (Cos x). ,926 (cos…

A: To evaluate the derivative:d926dx926cosx

Q: 3 1 y = log| cos DIFFERENTIATE THE GIVEN:

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Q: Help please..

A: We first calculate the value of cos x at x=0.5

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

A: The solution is given below in the next step:

Q: 1 COS 4 Now, differentiate f'(x) with respect to x. - 4 -x* sin(x4) f"(x) = -x°•si Submit Skip (you…

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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: Use the trapezoidal rule with n = 8 to approximate cos(x) -dx Keep at least 2 decimal places…

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Q: Use Simpson's rule with n = 4 to approximate .3 cos(x) Keep at least 2 decimal places accuracy in…

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Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π2. Give your answer…

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Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π/2. Give your answer…

A: Use derivative for finding the value .

Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: Using Newton-Raphson Method, estimate the root (6 decimal places) of the following: f(x) = 3x-e cos…

A: The newton-Raphson formula for the roots is given by xi+1=xi+f(xi)f'(xi), where x is the root of the…

Q: Evaluate the following definite integral. arctan dx

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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…

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Q: Find the linear approximation of f(x) sin(x) at a = E and use it to approximate sin(121°). Give your…

A: Given that  f(x)=sinx at x=2π/3  To find sin(121)

Q: 1. (a). Find the linear approximation to f(x) = sin x at = 0, (b). use it to approximate sin(-0.01).…

A: We have to find the linear approximation and percentage error.

Q: a(cos2x) sin(x-) TC 1. f(x) = tanx 4. What values should a and b take for the function fx) to be…

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