1 find func- 88. Finding a Composition If T(x) = %3D Vi + Vx tions f. g, andh such that fo goh = T.

Q: 13. To evaluate f 3cos*x-1 dx. the integrand can be transformed to 1-sin2x a. [(3cos x+ csc²x)dx b.…

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Q: Can you please answer this question and show all of the steps and say the correct letter

A: Consider the limit

Q: Using the Regula Falsi method f(x) = Vx – five iterations. cos x on [0, 1] for |

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

Q: 3.13 Function f(x) = 3x² +6x – 5 is given. 1. Calculate the value of df/dx at x=1 using the…

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Q: 1. Let X1,..., X, be independent, X; ~ exp(A;). a. Show that Y min(X1,..., Xn) is also exponential…

A: The exponential distribution is a continuous type distribution. The density function is defined as…

Q: 2. If :|S1, determine the maximum modulus f(:) (a) f(=) =z-2z+3, (b) f(=) == +z-1, (c) f(=)3= :+1…

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Q: 23 + 6x² – 32 1. lim 4 x3 + 5x² + 4x bw e 2. lim w>-00 4+ e 3w sin(6t) 3. lim 40 sin(11t)

A: Given that limit problem and we solve use L'hospital rule . If we apply limit and function is 0/0…

Q: 1) Find the value of m that makes m a) f(x) =- continous at x=0 tan x- sin x x>0 b) Show that the…

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Q: 3. A machine has n components, the lifetimes of which are independent. However the whole machine…

A: Since you have asked multiple question, according to our guidelines we will solve the first question…

Q: 3 1. Determine the order and the degree: sin x () - e* () = xy dx². a. Order – 2; Degree – 3 b.…

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Q: Moment generating function, M(x)=1/(t-1)2 , t≠1 var(3x+5)=?

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Q: iox e dx solue with Residue nethod 2 - x + 2ix +1

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Q: 1-e y = f(x) = ln fonksiyon eğrisinin x = 2 ve x = 4 apsisli noktaları 1+e-x arasındaki yayının…

A: The arc of the curve is given as:

Q: 0-6 3 Evaluate e dx by Simpson's th rule, taking n=6. 8

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Q: Ax) = Ln=0 n! e Show that: GAx)dx = En=1 n(n+1) (–2)"-1 (n +2)! ||

A: Here we use integration and series theorems to find the solution.

Q: Prove the identity. sinh(x + y) = sinh(x) cosh(y) + cosh(x) sinh(y) sinh(x) cosh(y) + cosh(x)…

A: Given identity for proof is  Sinh(x+y) = Sinh(x)Cosh(y)+ Cosh(x)Sinh(y)

Q: Find the Wronskian of the functions ƒ(0) = cos²(0) and g(0) = 1 + cos(20). NOTE: Your answer must be…

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Q: lim h→0 (e) cos( 4 + h) h 1

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Q: Suppose w where 2+ sin(5t), and z = 2+ cos(3t). 5t I = ex, y A) Use the chain rule to find de as a…

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Q: sin 2t sin 5t 10 58s2+ 441 20 s4+58s2 +441 84 O Option 3 Optlon 4 O Option 2 O Nons of the cholcss…

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Q: 1 Eliminabe the arbitrary constants C,e"cos 2x - 3X SIn 2x + - ZX Y C,e

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Q: Evaluate. d farctan a – In a] dæ 1+x² 1 sec2 x 1 :- e" sec² ¤ 1 + 1-x²

A: The rule of derivatives states that ddx(f(x)±g(x))=ddx(f(x))±ddx(g(x))

Q: X 1) f(x) = x6 + 4x + 2 I NIX - 3) f(x) = ln(x5 - cos²x) 5) f(x)=xsin x + πT x5 -√x - In 3 3 2)…

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Q: Bi(n, p) and using the MGF compute Derive the moment generating function of X E[X] and Var[X].

A: Given,A random variable X~Bi(n,p)P(X=x)=nxpxqn-x    ;   X=0,1,2,.....nand q=1-p

Q: 1 8. When we say that (Inx) = , we really mean to con- dx 1 on the restricted domain (0, 0). sider…

A: Given the function ln(x) Now for the derivative : ddx(ln x)=1x Here we take the function 1x on the…

Q: cos(x) dx = dx. Use - 0o (1+x²)² o cos(x) 00 cos (x) Compute Jo 1+x²)² dx. Note that 2 (1+x2)2 the…

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Q: n lim >(sin (2mx;))Ax over [0,1] i=1

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Q: (x²+y2 ) prove ne du + y ax -2 sin2u ( Euler's Rule) 5. If u = cot-1 that x ду x+y

A: We use the Euler's rule of partial differential in homogeneous function to solve this problem.

Q: i) Given that f(x)=3cos5x+sin5x. (a) Express f(x) in the form Rcos(5x-a) where R>0 and 0° < a <90°.…

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Q: e 2*(1 – e *x)- J (arcsin e 2x) cos2 (In arcsin e2x)

A: Given,           ∫e2x1-e4x-12arcsine2xcos2lnarcsine2xdx

Q: 1. Let X1,..., Xn be independent, X; ~ exp(A¡). a. Show that Y = min(X1,..., Xn) is also exponential…

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Q: (9) Lim t-3 sin(z² +4t +3) 1² -9 t'

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: Fnd general solation:. Cosx x2

A: Given: y'+2xy=cosxx2

Q: 2 +3 Evaluate S4) (-2) (22+4)(- dx. Enter In(x) for In(x), abs(x) for |x|, and arctan(x) for…

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Q: 4. (a) Consider the ODE y' + tan(ax)y = sin(ax), where a is a nonzero real number. Find an…

A: We will use basic knowledge of ODEs to solve this question.

Q: Г(п + 1) (т + 1)"+1 I(n).k>0] 1 3. Show that, / (In-)" dx [Hint:/ -kx n-1 e kn

A: Question is solved.

Q: @) skelch a graph of the Punehion y=sinx-sinsx at Le,zn] 4) Given Secanda -10 and sr casd x =3,…

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Q: 20. The action of a spring can be modeled by the function y = 4 cos x – cos x sin x after x seconds…

A: Given y=4cosx-cosxsinx (0&lt;x&lt;8)

Q: 35. [T] lim sin2x; ±0.1, +0.01, +0.001, +.0001 *40 X X -0.1 -0.01 -0.001 -0.0001 sin 2x a. b. d. X…

A: The answer is given below:

Q: 3. Determine the values of 0 if 0 < 0 < 2n given that cosx process. - 0.3178. Explain your

A: When considering the circle our degree values changes from 0 to 360. So we know in which quadrant…

Q: 1- ( 5*-1)d xt (2xy-SinyJelya0

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

Q: sinh (1+Inx)= Select one: ex-1 2xe O Zero e Inx 2 O None e?x² +1 2xe x² +1 O 1+ 2x

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Q: Example 8.19. Use Romberg's method to compute dx 1 + x² correct to 4 decimal places.

A: Let y = 11+x2  and let I = ∫01dx1+x2take h = 0.5 =12The tabulated values of y are   x0 x1 x2 x…

Q: 3 2 10) Find the arc length of f(x) = x3 + 10 On [0,8].

A: To find the length of the arc for the given function f(x)=32x23+10 on the interval [0, 8]

Q: 47. Let y = sec-x. Show that tan y = vx? – 1 if x > 1 and that tan y = -Vx? – 1 if x 0 on (0, 3)…

A: Consider the function of x and solve further-

Q: 6. Using a suitable substitution in each case, integrate the following w 1 (a) x2 + 10x + 29 sec?,…

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Q: e Lim 2. 5+s2 y4 3 Lim (4) Lipn J+ Cos늦

A: 1. lims→∞(ss+1)(s25+s2)lims→∞s×s2s×s211+1s11+5s2= 12×2=14

Q: sin(x – y) + cos(x – y) – cos(x – y) y' = 0, y(0) = 7n/6 %3D

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Q: 1+(1+z²)/² • [a)] Show that csch 1 z = ln [(b)] Use part (a) to find all the values of csch (2i)

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