F 4x newtons. Find the work done in compressing the spring 1 to x = 2. from x =

Q: For the following model of Newton's law of cooling dT 2(T+ 35), T(0) = 80, %3D dt the ambient…

A: The given differential equation is,  dTdt=-2(T+35)

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: Consider the function p=D(x)=112−2.8x Find the elasticity function.

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Q: An unstretched spring is 1Oft long. A pull of 40lb stretches the spring to 10in. Find the work done…

A: Force required for stretching the spring to 10 inches is 40 lb. Force required for stretching the…

Q: Find mZJ. H. 5/2 5/2 J mZJ = Submit Work it c Not feeling ready yet? M

A: In the given right triangle HIJ HJ = HI

Q: The acceleration of an object is given by a(t)=cos(πt), and its velocity at time t=0 is 1/(2π) when…

A: The acceleration of an object is given by a(t)=cos(πt), and its velocity at time t=0 is 1/(2π) when…

Q: Compute the work required to stretch a spring from 7 to 14 cm past equilibrium, assuming that the…

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Q: takes 90 J of work to stretch a spring 1 m from its equilibrium position. How much work is needed to…

A:

Q: A mass attached to a vertical spring has position function given by s(t) = 3 sin(4t) where t is…

A:

Q: Let y = 2x². Find the change in y, Ay when I = 4 and Ar 0.1 Sesse Find the differential dy when = 4…

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Q: e3x d 6. (10) Calculate dx cot(t)dt. 2

A: Solve by using substitution and first solve the integral and then go for differentiation. Do step by…

Q: A spring has a rest length of 9 inches spring and the spring constant is K = 6. How much work is…

A:

Q: 3. Find one approximation for the acceleration of the car, in ft/sec“, at t = 40. Show the…

A: Solution  Apply equation of motion V = U + at V = velocity at time t (ft/sec) U = velocity at time…

Q: A car starts from rest at time t = 0 and accelerates at – 0.61 + 4 meters/sec? for 0 <t< 12. How…

A: Given: a = -0.6t+4 and velocity at t= 0 is 0 Since, dvdt=a, here v is the velocity and a is the…

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: Solve the following NLP using Newton's method starting from the point x° = (0,1) Min f (x,y) = (x +…

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Q: A large speaker that you are planning to use, has a huge diaphragm connected to a spring, the force…

A:

Q: A mass attached to a vertical spring has position function given by s(t): 2 sin(4t) where t is…

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Q: 39. f(a + 1+2 tag z + tag' x) dx = S (sec" z + 2 tag 2) dz tag z)' dz %3D tag z + 2 In Isec z| + C

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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: h(x) = S*(8t³ + 2t)dt, use the FTC Part I to find h'(x). %3D

A: Given :  hx = ∫1x8t3 + 2tdt

Q: A large speaker that you are planning to use, has a huge diaphragm connected to a spring, the force…

A:

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: A force of F = 14x – x N stretches a nonlinear spring by x meters. What work (in J) is required to…

A:

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: SOLVE THE VOLUTION OF THE #F ㄜㄊ y" ty= g(t) = {1, 0≤ t <317 0₁ 773 1 J 9 (₁) = 0 9' (0) = 1

A: Laplace transform of the differential equation

Q: Find the total differential. w = eбy cos(4x) + z7 dw (No Response)

A: Explanation of the answer is as follows

Q: Q1: A conical tank with 3 m height, and 1.2 m radius initially is filled with water. If the water…

A: Given: Let H and R be the height and radius of the conical tank respectively. H=3 m R=1.2 m Let V be…

Q: A particle travels along the x-axis such that s = 41-2t + 5 where s represents its displacement in…

A: we have to solve the problem

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: When is the particle’s acceleration positive? Negative? Zero?

A: From the given figure:

Q: 5. The work required to compress a spring from its' natural position is 2 m is 1930 Joules. Find the…

A: Assume that ‘F’ denotes the force ‘x’ the natural length ‘k’ the spring force constant and W be the…

Q: A unit mass hangs in equilibrium from a spring with constant k = 1/16. Starting at t = 0, a force F…

A:

Q: It takes 1,600 joules (J) of work to stretch a spring from its natural length of 4 meters (m) beyond…

A: W=12kA2, where A is stretched or compressed length of spring

Q: E x² t xY +y'l find the velue Ot yll at Pint where t=\

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Q: s. When a particle is located a distance x meter from the origin, a force of F(x) = x² + 4x + 5…

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Q: It takes 50J of work to stretch a spring 0.2m from its equilibrium position. How much work is needed…

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Q: aw nd dt in term of t, if w = xy, x = cost and y = sint, when t = - %3D

A: Question 4 is not complete.  I am answering Question 5.

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: j íf the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work…

A: Given that

Q: The work done W,to stretch a spring from its natural length to an extension of 2 meters Is given by…

A:

Q: Find the most general antiderivative of f(x)=6e^x+5 sec^2(x), where -pi/2

A: Please see the answer below

Q: A steel shaft 3 ft long that has a diameter of 4 in is subjected to a torque of 15 kip-ft. Determine…

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Q: Q3: b) Consider the function f (x) = tan(nx) – x – 6. Use the Newton method to | evaluate a root of…

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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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Q: Find the root of t4−5t3+9t+3=0 accurate to six decimal places in the interval [4,6] using Newton’s…

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Q: The force, F, acting on a constant mass, m, moving at a velocity, v, is given by: F = m dv Newton dt…

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Q: Find z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

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Q: dt 13. 1 sec t

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Q: Find z = f (x, y) and use the total differential to approximate the quantity. (2.01)2(9.02) − 22 ∙ 9

A: The given quantity is 2.0129.02-22·9. It is of the form of fx+∆x,y+∆y-fx,y. Here, x=2,y=9 and…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.