Perlyn makes deposits of 100 at time 0, and X at time 3. The fund grows at a force of interes t2 t > 0. 100' The amount of interest earned from time 3 to time 6 is also X. Calculate X.

Q: A 10-year warrenty on a new device pays 1000(1 − 0.1t), 0 < t ≤ 10 at the moment of failure. The…

A: Please check step 2 for the solution.!

Q: Find the differential of the function w=x^5sin⁡(y^5z^4) dw=  dx+  dy+  dz

A: Differential of a function is simply the derivative of a function. Also, d(uv) = u.dv + du.v

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A: Given:An object is shot straight upward from sea level with an initial velocity of 400…

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A: Given: A 100 gal-tank initially contains 50 gal of fresh water. At t=0, a salt solution containing 1…

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A:

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

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Q: Find the total differential. z = 5x3y9 dz =

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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…

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Q: A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium…

A: Given- A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The…

Q: A heavy-duty shock absorber is compressed 2 cm from its equilibrium position by a mass of 500 kg.…

A: Let K be spring constantThen ,Kx2x10-2=500x9.8⇒K=245000 N/m

Q: A mass weighing 4 pounds is attached to a spring whose constant is 2 Ib/ft. The medium offers a…

A: A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The medium offers…

Q: *A ball is dropped from a viscous fluid frcm rest with a resisting force numerically equal to 0.01V…

A: Given problem is :

Q: Evaluate the integrals in Exercises

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

Q: A large water tower holds 3 million gallons of water, which has a mass of about 11 million…

A: As there are multipart to the question, we’ll solve the first three parts. If you want further parts…

Q: A particle of mass m starts from rest at time t = 0 and is moved along the x-axis with constant…

A: Given that A particle of mass m starts from rest at time t = 0 and is moved along the x-axis with…

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…

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A:

Q: A particle of mass m starts from rest at time t = 0 and is moved along the x-axis with constant…

A: Given information:

Q: linear a approx Imation differential's to estimate Ja6.96

A: let ,

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Q: A soccer ball is kicked upward from a height of 2 ft with a speed of 16f t/s. Assuming that its…

A: To find the equation for velocity we will integrate the equation of acceleration  c=integrating…

Q: The velocity v of a falling parachutist is given by gm v = C where, g = 9.8 m/s². For a parachutist…

A: The velocity equation given is as follows:…

Q: A body of mass 1 slug is dropped with an initial velocity of 1 ft/sec and encounters a force due to…

A:

Q: This is a differential equations problem.

A:

Q: find the soution of' the differential eq. System X= 3X+44 9=X+3y %3D

A: Given differential equations are                                     dxdt=3x+4y,dydt=x+3y…

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: A mass weighing 4 pounds is attached to a spring whose constant is 2 Ib/ft. The medium offers a…

A:

Q: Verify the integration formulas in Exercise

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

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Q: A mass weighing 4 pounds is attached to a spring whose constant is 2 Ib/ft. The medium offers a…

A:

Q: A force of 3 N is required to keep a spring extended 1/9 m  beyond its equilibrium length. What is…

A: If spring constant is 'k' than Force required to extend spring 'x' meter is F=k(x)Here x = 1/9 mF= 3…

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: A spring is stretched 4 in. by a 2-lb weight. The 2-Ib weight is started from the equilibrium point…

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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: The Hubble Telescope was deployed on April 24, 1990 by the space shuttle Discovery. A model for the…

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Q: Use Newton's method with the specific initial value z1 = 1 to approximate the root of the equation…

A: As we know that; The iteration formula for Newton's method. xi+1=xi-fxif'xi ; i=0,1,2,3...... From…

Q: Find the Moment of Inertia of the plate with respect to Y- axis and its Radius of Gyration. (Present…

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Q: A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the…

A:

Q: Find the total differential. z = 10x6y7 dz =

A: Differentiation of xⁿ = nxn-1

Q: Find the total differential. z = 10x y10 dz =

A: As we know that the: If the given function is z=fx,y then the expression for the total differential…

Q: A mass weighing 4 pounds is attached to a spring whose constant is 2 Ib/ft. The medium offers a…

A:

Q: Problem begins here: A wooden ball of weight 196 newtons is dropped vertically from a height of 100…

A: Answer is mentioned below

Q: Find dt y = 31(21? – 5) $ dy dt

A:

Q: 9. It took 2000 J of work to stretch a spring from its natural length of 3 m to a length of 8 m.…

A: Hooke's Law states that force needed to stretch a spring by a distance x from its natural length is…

Q: A constant horizontal force of 21 N pushes a 5 kg-mass through a medium that resists its motion with…

A: Since force is 21N , and ,mass is 5kgso, acceleration by the force is 215. There is an opposing…