. Estimate the root of the expression, f (x) = x² – cos x, using: d. MOSS using xo = -1 with error tolerance of 0.0001%. Use the form, x = cosx.

Q: Solve the following ODE by introducing integrating factor on the process of your calculation: x…

A: Given differential equation.x dydx2x+1x+1 y=x-1Comparing with the standard form.   dydx+Px y=Qx…

Q: Which of the following functions does not have the property that f(x) = f(4(x) ? A flx) = cosx B…

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Q: Find the reduction formula for the integral co cos" x dr, for n> 2.

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Q: Let a be a constant, Evaluate[ (a* + x² + a) sin(3z") + 15z*)dzr.

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Q: Find for the following function. xp y= 3x cos x sin x dx

A: Given the functiony=3x2cosxsinx

Q: Evaluate the following integral. Л √4 sin *x dx 0

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Q: Which function is equivalent to f(t) = cos 4(t- T1/4)? *

A: Given that  f(t)=cos4(t-π\2)we need to find the equivalent equation from the given equation

Q: Compute the value given within 0.01 by deciding on the appropriate f(x) and a, and by evaluating…

A: The function is, fx=cosx differentiate above function, f'x=-sinx Substituting a=0, fa=cos0fa=1 And,…

Q: Q1: Find Maclaurim expression for the following functions 1. f(x)= sinh(x). 2. f(x)=sin (x). 3.…

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Q: calculate L4 for f(x)=76 cos(x/2) over [2pi/4, 2pi/2]

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Q: Make a table of values using multiples of t/2 for x between 0 and 47 for the function y = x sin x.…

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Q: If f(s)=sinh(s)^13 cosh(s)^10 , find f'(s)=???

A: We have  f(s)=sinh13(s)*cosh10(s)   We have to find its derivative…

Q: Find the value of the positive integer A so that: In A 1 sinh x dx 4 Jo

A: ∫0lnA sinhx=14 coshx0lnA=14 coshlnA-coshln1=14 coshlnA-cosh0=14 coshlnA-1=14 coshlnA=14+1…

Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x3 – 5x =…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: f(x) = tan x - tanh x, in the inferval [4, 5]

A: The given function is f(x)= tan x - tanh x tanh x=ex-e-xex+e-x The function f(x)=tanx-ex-e-xex+e-x…

Q: Find cosh a In(sinh r)dr.

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Q: antiderivative

A: Antiderivative means to find the indefinite integral of the function.

Q: Consider the following function and express the relationship between a small change in x and the…

A: Givenf(x)=10-acosxwhere a is constant

Q: b) tan n'(2x)dx

A:

Q: For cos2(xy) = L. For cos2(xy) =-, evaluate y' when x = 1. 4 3

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Q: Q.3 Evaluate the by using the appropriate u –sustitution. cos (ln x) dx

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Q: Which function is equivalent to f(t) = cos 4(t - TT/4)?

A: For two functions f:R→R and g:R→R to be equivalent, it means three things. First, the domains of the…

Q: Find the most general antiderivative of the following functions. (d).r(θ) = (sec θ − tan θ)^2

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Q: Given f(æ) = / - t2 + 2t – 35 -dt 1+ cos?(t) - At what value of x does the local max of f (x) occur?…

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Q: Apply the open Newton-Cotes formula with 3.5 xe*dx n=1 to approximate 0.5

A: For n =1 , ∆x = b-a3 , and the abscissas are x0 = a+∆x and x1 = a+2∆x . The Lagrange polynomials…

Q: Find the root of the function ((x) =sin x -e in the interval (0,1) using the formula g(x) =aresin…

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Q: Evaluate the following definite integral. S2 sin(2x)dx

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Q: Use the Reduction Formula to evaluate the following (a) f sin“ x dx (b) S tan x sec4 x dx

A: (a) The reduction formula for ∫sinmxdx is given as the following.…

Q: Use this figure to find the following definite integrals:

A: The figure given in the problem represents the graph of the function y=f(x). The region under the…

Q: Evaluate the following definite integrals log(1+cosx) dx .

A: Given the definite integral

Q: Find dx for the following function. 8 cos x y = 9-7 cos x xp

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Q: 22. Given that sinh 2 =, the value of cosh z is A. +- В. D. 4

A: Given: sinh x=34

Q: Perform the following integration: fa cos° x dx

A: To evaluate:∫cos3xdx

Q: Calculate L4 for f(x) = 42 cos () over L4 = %3D

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Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration

Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x3y2 sin(xy)…

A: Given below clear explanation

Q: Find for the following function. xp 2x sin x 3+ coS X

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Q: Evaluate F(4). f(t)=sin(2t)cos(2t) Round-off to 4 decimal places. Answer: 0.0625

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Q: a² f For the function ƒ(x,y), compute Or d0 if x =r cos O and x=r sin 0 .

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Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x³y? sin(xy)…

A: Given below clear explanation

Q: Differentiate each of the following functions with respect to x. 1y = In cosh 2x 3. y = sinh(sin x)…

A: the student has informed that none are graded.

Q: Q2) 1- Find O for: y= cos (x) + cos(x)

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Q: 27n 4 cos x sin x dx 7/3

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Q: Evaluate the definite integral 15 cos(t)dt:

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Q: Find the approximate root of the function f (x) = cos(4x) – x² sin x , xo = 7 using Newton- Raphson…

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Q: Calculate SN given by Simpson's Rule for the value of N = 6. 1 cos (4x?) dx (Round your answer to…

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Q: f (x) = 6 Sin(4x)+ 2 Cosh(3x)

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Q: Calculate SN given by Simpson's Rule for the value of N = 6. cos(3x²)dx (Round your answer to six…

A: given integral :

Q: Determine the value of x that satisfy the following equation; sinh-1x = In(3 – x²) – In(x + v3).

A: