Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x = =, Ax = dx = 1800 %3D

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A: Solve for the derivative

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A: Given y=fu and u=gx, to find dydx by using Leibniz's notation for the chain rule: dydx=dydududx.y=5u...

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A: On solving this we will get-:

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A: Note :- As you write for solution only for interval [1,2] so i  am providing solution only for it.

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Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Part 1 answer  tan3  (theta) sec (theta) dtheta = sec3(theta)/3 - sec (theta) + c    Part 2 answer  ...

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A: We have to find correct option

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A: We will use the definition of slope of tangent.

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A: Find the equation of tangent line to the graph of y= 2x/√(1-x2) at x=0 . 

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A: Given     Matrix is given

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A: Topic:- trigonometry ratios

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Q: T(t) = r'(t) N= T'(4) %3D Find Ť (t) t Ñ Ct) for ct)=tî t+4Eŷ. Evaulate tLt) $ Ñ Ct) for t= 3,

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Q: A third-order homogeneous linear equation and three linearly independent solutions are given below. ...

A: Given that Third order diffrancial equationy3+2y''-y'-2y=0,  y0=8,y'0=10,y''0=0Solution :y3+2y''-y'-...

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A: Answer: The solution is as given below:

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Q: Suppose that f and g are integrable and that f (x) dx : :-1 | f(x). h(x) dx = 4 Odx = 5 Use the rule...

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

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A: To find the value of "c" by using rolles theorem. 

Q: Given the power series, calculate the interval as well as the radius of convergence. Identify where ...

A: ∑m=1∞ (3y+2)m2m2+m-1Radius of convergence:am+1am&lt;1(3y+2)m+12(m+1)2+(m+1)-12m2+m-1(3y+2)m &lt;1(3y...

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A: ∑n=1∞ -1n1+2nn  

Q: Evaluate the integral. (Use C for the constant of integration.) | sz?e" dz

A: ∫5z3ezdzusing integration by part ∫fxgxdx=fx∫gxdx-∫dfx∫gxdxdxNow, fx=5z3,gx=ez∫5z3ezdz=5z3∫ezdz-∫d5z...

Q: 1. f(x) = x² and g(x) = –x² + 12x – 18 have a common tangent at point P. Determine the equation of t...

A: for same tangent line  slope of equation is same f'(x) = 2x g'(x) = -2x +12 both are same so f'(x) =...

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Q: Let f be a continuous function such that f (x) dx = -7 and 1 f(x) da = -2. What is the value of 3 (x...

A: Given query is to find the value of the indicated integral.

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Q: s=[−2,1,5] and t=[3,2,0] a) Determine s × t b) Show your work to confirm that s × t is orthogonal ...

A: Given query is to find indicated vector.

Q: Evaluate each expression. 12. logs 216 10. log, 32 11. log, 1

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Q: A restaurant manager has the option of a 30-year loan of $411,000 at an annual interest rate of 3.95...

A: (a) principal =$411,000 time =30 years rate=3.95% interest=PRT100              =411,000×30×3.95100  ...