Which of the followings is spring of constant radius? < cos 5t, sin 5t, -2 > < cos 5t, sin 6t, 6t > < cos 5t, sin 6t, -2 > O < cos 5t, sin 5t, 6t >

Q: Tell-hetherethtnetion lepresents cxponetitial growth or Eparentid dacay ane then find 10) for…

A: Exponential function is given as f(x) = P (r)x   If r &gt;1 and x is increasing then f(x) will also…

Q: dy sec (re ), y(In 4) = 3 / t dt

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Q: ds-(s + et)dt=0 (find DE,prove if exact or not)

A: dsdt=s+et  It can be solve by integrating factor method I.F =e∫1dt =et solution of DE is…

Q: A spring has natural length 28 cm. Compare the work (in J) w, done in stretching the spring from 28…

A: Given:- A spring has natural length 28 cm. Compare the work (in J) W₁ done in stretching the spring…

Q: w = - 6 sec²(3x) – V8 )dx. Evaluate W W 5 3 6x+9

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Q: If a(t) is the acceleration of a moving particle at time t , then Ja(t) dt is the velocity at time t…

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Q: Q Find the deriva tive using the de fini tion (x)

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Q: It takes 120 J of work to stretch a spring 0.5 m from its equilibrium position. How much work is…

A: It is known that Work=(force)(distance). Thus,  120=F×0.5F=1200.5F=240 N

Q: Three masses are suspended vertically by a series of identical springs where mass 1 is at the top…

A: From the given question, the forces acting on the first mass are F1=kx1 in the upward direction and…

Q: 0. gy c ube a losed Cont Conlainig he okigin it. Pycoue thal az 2.

A: I have used Cauchy integral formula

Q: A given spring requires 34 newtons of force to be stretched 1.5 meters. Use this information to…

A: Consider a spring of spring constant k. Here, the objective is to find: A) The value of spring…

Q: (ii) to the force of gravity . Assume that an object with mass m is dropped from a height so and…

A: The given equation is St=S0-mgkt+m2gk21-ektm. The given values are g=32.17fts2,S0=300 ft, m=0.25 lb…

Q: Pn 1995 Hhe moose papulalion n MeaSured to be 1900.TTBa, 1994, Hbe Was, eaSuned agaio to be Uu400.1f…

A: Given query is to find the formula for the function P.

Q: of the hghset of cheryt the t y temthe 2M percetaof the tres aea dy tn than ees hae ate your

A: Given that  The histogram data of heights of cherry trees. We write the given data in frequency…

Q: Let x~B (mp) Find E (x') Metho d Moment ?

A: From the given information, X~Bn,p The probability mass function is, PX=x=nxpx(1-p)n-x,…

Q: x°y" + 2x?y"+ xy'-y=0

A: A homogenous linear differential equation with variable coefficients given by,…

Q: A spring has natural length 28 cm. Compare the work (in J) w, done stretching the spring from 28 cm…

A: We have to use the hooks law to solve this problem.

Q: Fmd the power series represedatia Fin of 和 Pn ant to tan't dt, fez)- where enD (B) (C) and an 2. and…

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Q: (b) A spring exerts a force of 4.2N when stretched 0.7m beyond its natural length. How far beyond…

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Q: The work done W,to stretch a spring from its natural length to an extension of b meters Is 6. given…

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Q: : Scot y dy

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Q: If x cos t and y sin? t, then d'y/dx at t is If s 10 t+ 80/t, find the acceleration when t 2.

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Q: p = m(1-dt) for d (buisness)

A: In this question , we can solve for 'd'.

Q: A spring has natural length 27 cm. Compare the work (in J) W, done in stretching the spring from 27…

A: Let a spring with spring constant k, has initial length=L, applying a force it new length =x+L, that…

Q: (Superman Versus m ers arrive according uho

A: System 1 Customer arrival rate in a Poisson Process λ Service time  3μ System Capacity…

Q: 236 A 1-m spring requires 10 J to stretch the spring to 1.1 m. How much work would it take to…

A: Given natural length of spring=1 mWork done to stretch it to 1.1 m is 10 JSo, W1=10 J, L0=1 m and…

Q: (c) What is the particle's position at timet= 67 Show all work that leads to your answer.

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Q: When a 2.60-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: Given  m=2.60 kgd=3.22 cm

Q: 7. Amy is hauling a toy car of mass 4 kg which was at rest earlier on the floor. If 50 N is the…

A: Explanation of the answer is as follows

Q: 2. SOLVE THE FORCE ACTING ON THE 5 KN BLOCK IF IT IS IN EQUILIBRIUM. P 58⁰ 38⁰

A: given figure

Q: 14. In the theory of relativity, the mass of a particle with velocity v is то m where m, is the mass…

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Q: The volume V of a right circular cylinder of radius r and height h is V = ar?h. (a) How is 4 related…

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Q: Find work done from the followingW = G- sec²(3x)- V8) dx witch Gx +9 h used to stretch a spring from…

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Q: andom ple A moment enerating tion M(t) = e3t+t?. What is the second moment of X about x = 0?

A: Given: M(t)=e3t+t2 To find second moment of t about t=0

Q: The particle is observed in its original position with initial velocity of 3 meters per second. It…

A: Given: a=t+12t-1 ⇒a=t3+t+2t2-t2-1-2t ⇒a=t3+t2-t-1 Since, a=dvdt

Q: Solue d?3e 2 +4x=5in zt using methoel I Vorintion of parameters .

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Q: A spring has natural length 25 cm. Compare the work W, done in stretching the spring from 25 cm to…

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Q: A roctangular tonk uith a cauaro boco and a volumo of 2.016 e3 dimoncions of tho tank that hac 1o…

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Q: What is the weight w, of the Newton-Cotes formula Q[f;-1,1] = wof(-1)+wif(\/3) W)+wzf(1) with nodes…

A: Use the formula of Newton-Cotes formula to determine the value. Now substitute the values and solve.

Q: 1. The position of a weight attached to a spring is s(t) = -3cos5nt inches after t seconds. When…

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Q: Compute the work required to stretch a spring from equilibrium to 8 cm past equilibrium, assuming…

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Q: The acceleration of a particle moving back and forth on a line is a(t) = n? cos(at) m/sec? for all…

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Q: he acceleration due to gravity is 9.8 m/sec. A rock was thrown vertically upward from the ground…

A: Given that the acceleration due to gravity is 9.8 m/s2 and a rock was thrown vertically upward from…

Q: A body falls in a medium offering resistance proportional to the speed at any time "t". If the…

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Q: consider a spring-mass system driven by an external force governed by : 2u'' + 3u'+4u=cos(wt)…

A: Given, a spring-mass system driven by an externod force governed by…

Q: Je find The general Solutivn od DiE+

A: The detailed solution is as follows below:

Q: A cylindrical pool that has a 3.3 meter radius and is 1.8 meter deep.…

A: Here, r=3.3 m h=1.8

Q: Solve the following Bernoulli DE's. *+ x*y = x®y? a) b) y' - = y %3D

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Q: It takes 15 J of work to stretch a spring 0.2 m from its equilibrium position. Find the spring…

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