(a) Find its initial position. (b) Find its positon after 5 seconds.

Q: a.) Evaleiate. (6tanx dx

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Q: do you have a solutuon for this?

A: Definite integral property : If f(x) is continuous on a,b and a<c<b ,then              ∫ab…

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A: Given: The computer completes a 5000 equation back substitution in 0.005 seconds.

Q: The position at time t ≥ 0 of a particlemoving along a coordinate line iss = 10 cos(t + π/4). What…

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Q: C1. A particle free to move along a line, becomes subject to an acceleration fo cos(pt) along the…

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Q: A mass of 1 slug is attached to a spring whose constant is 5 Ib/ft. Initially, the mass is released…

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Q: 5) Use the simple fixed point iteration method to find a root of the equation: x³ = cos x with…

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Q: Give the number of complete oscillations that will occur over 1 minute for a mass- spring system…

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Q: Find Newton-Raphson formula to obtain th

A: Given,           57

Q: cos(48°) Use differential to approximate the value of

A: Cos 48° The nearest value to 48 whose cosine value can be taken is 45.Let us consider :x = 45° and…

Q: Exumple: Solue-the ditfereutial equation dy 2 dey

A: The differential equation is given as x2d2ydx2-3xdydx+5y=0                       (1) We will solve…

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Q: 7. Use Figure 6 to choose an initial guess xo to the unique real root of x Newton iterates. + 2x + 5…

A: Let us choose x0= -1.5 (since between -1 and -2) Let, f(x)=x^3+2x+5 Then we find f'(x)

Q: A wheel starts from rest and rotates about a fixed axis with a constant angular acceleration of 4.6…

A: Use the circular motion equation, ω=ωo+αt      where ω=final angular velocityωo=initial angular…

Q: sin x – e-* = 0, [0,1]

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Q: Question: What is the formula for the Newton iteration in Newton's method?

A: So as we know Newton's method (or Newton-Raphson method) is an iterative procedure which is  used to…

Q: 19. Determine the period and phase shift for y = cos(5x + n).

A: We can find the period and phase shift as below using the general equation of wave.

Q: 3. A wooden ball is tied on a string 30 cm long, and is oscillating like a pendulum. It is initially…

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Q: find the fourier series for the half-Period sine of the function fx) = sinx inthe period 8. xx Then…

A: Given that, f(x)=sinx in the period 0<x<π. ∫n=1∞1(2n-1)2(2n-1)2. The objective is to evaluate…

Q: (b) Use the model from part a to determine number of bacteria, rounded to a whole nun after 2 hours:

A: we have to find

Q: ) A Cylinder tank of radius 4m and height 10m is initially filled with water. At the bottom of the…

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A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Submit Answer problem 1 oyt of max

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Q: The position at time t ≥ 0 of a particlemoving along a coordinate line iss = 10 cos(t + π/4). When…

A: Given,The position at  time t ≥ 0 of a particle moving along a coordinate line is s=10 cos(t…

Q: use Gamma Function to evalute the Rollowinq e dy

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Q: a(t) = -7 cos 2t – 8 sin 2t t Find its velocity and position functions at any time t if it is…

A: Given, The acceleration of a body, at=-7cos2t-8sin2t,  t≥0 At t=0 sec, Velocity,v=4 msec  and…

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A: Calculate the time period T. λ=6m and v=2m/secv=fλv=1T×λT=λv=62=3Hence,T=4sec

Q: .Find the smallest positive root of the function x2|Cos vx| = 5 using the False-position method.…

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Q: What do you mean by adaptive quadrature method? Compute cos x dx by adaptive quadrature method and…

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Q: Solve the initial-value pxoblem dy dr COSX-Sinx t %3D yro)%3D0 Using Adams. Moulton.

A: Given differential equation is dydx=cosx-sinx+y Let  f(x,y)=cosx-sinx+y                 (1) 0≤x≤0.5,…

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Q: C1. A particle free to move along a line, becomes subject to an acceleration fo cos(pt) along the…

A: The acceleration is given as a = focospt if v is velocity Then  dv/dt = a If x is displacement…

Q: Compute: d/dx(arctan(2x))

A: Given

Q: o(rad/s) 20 2 4 t(s) 8 10 12 -12

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Q: Find a function that models the simple harmonic motion having amplitude 60 m and period of 5…

A: If you like the solution then please give it a thumbs up.... The Answer is:          y=60cos2πst

Q: 1. Use Newton-Raphson method to find sixth iteration of a real root of the equation: cosx-xe* =0…

A: Formula Used: xn+1 = xn - { f(xn) / f'(xn) } .

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Q: If a sinusoidal function has a minimum at x=5 and a period of 14 units, at what x-value will the…

A: Since we know that in a sinusoidal function each value of the function will repeat after each period…

Q: 9. Give an equation for a transformed sine function with an amplitude of 3, a period of I1/4, and a…

A: The standard equation of the sine function: y=A sin (B(t+C)) Where A is the amplitude Period=2πB C…

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Q: 4. A 1-kilogram mass is attached to a spring whose constant is 25 N/m, and the entire system is then…

A: NOTE:- By Bartleby rules, only part (a) is answered A 1-kilogram mass is attached to a spring whose…

Q: Find a solution of Airy's equation in powers of x − 1.

A: