The bending moment M of a beam of length l at a distance x from one end is given by M = Wx(l – x)/2, where W is the load per unit length. Find the  maximum bending moment.

Q: Find the time required for an object to cool from 300°F to 250°F by evaluating, where t is time in…

A: To find the required t, we need to simplify the given integral

Q: Assume that the pressure P (in kilopascals) and volume V (in cubic centimeters) of an expanding gas…

A: Given that the pressure P (in kilopascals) and volume V (in cubic centimeters) of an expanding gas…

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

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Q: On a frozen pond, 10-kg sled is given a kick that imparts to it an initial speed of 2.0 m/s. The…

A: Initial kinetic energy is Final kinetic energy is

Q: A mass weighing 2lbs stretches a spring 6 inches. At t = 0 the mass is released from a point 2/3 ft…

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Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t2− 3t − 18,…

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Q: A ball having mass m falls from a tower with heigh h from the ground. The velocity of the ball…

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Q: Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and…

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Q: Suppose water is leaking from a tank through a circular hole of area A, at its bottom. When water…

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Q: A droplet has a mass of 2.9 x 10-13kg and a charge of +e. In what vertical electric field would the…

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Q: 3. A tiny organism begins to move in a straight line with velocity v(t) = t(t – 1)'/3 microns per…

A: Let the expression for the velocity is v(t)=t(t2-1)1/3. Integrate the expression to find the…

Q: With what initial velocity v0 must we fire a rocket so it attains a maximum height r above the…

A: We will use the maximum height formula Where u=initial velocity. g=gravity H_max= maximum height

Q: A 0.25-slug mass is attached to a spring and spring is stretched 1.28 ft from its natural length.…

A: Given : A 0.25 mass slug

Q: b) Use the velocity function v(t) = 2e" to compute the distance traveled by an object over the time…

A: The detailed solution is given below  Thank you

Q: Solve the problem. A body of mass m is moving in a straight line with an initial velocity of 2 m/s…

A: Given:-   acceleration⇒6t2-2t+4initial  velocity  of 2m/sec  from origin at  t=0,a=acceleration;…

Q: Suppose the length of rod, L = 50 cm is immersed in steam until its temperature is throughout u, =…

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Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that…

A: To find the number of units completed in t hours by the new employee, integrate the rate of…

Q: A parachutist of mass m falls from rest in the Earth's gravitational field and is subjected to mg…

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Q: The tank in the form of a right-circular cone of radius 11 feet and height 15 feet standing on its…

A: Given: Let us consider the right-circular cone, Radius=11 feet Height=15 feet and circular hole of…

Q: 3- If a ball v leased to fall at t=0 sec according to the law S =;gt where g is the acceleration due…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: The owner of a local hot dog stand has estimated that if he lowers the price of hot dogs from $2.00…

A: The demand for hot dogs is

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: Suppose water is leaking from a tank through a circular hole of area A, at its bottom. When water…

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Q: 1. (a). Find the linear approximation to f(x) = VT at r = 81, (b). use it to approximate V85. (c).…

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Q: Suppose an object moves along a line at 13 m/s for 0sts2 s and at 22 m/s for 2<ts5s. Sketch the…

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Q: a. Water is flowing into a conical tank at a constant rate of 3 cubic meters per second. The cone…

A: The answer is given by using volume formula of cone. The answer is given as follows:

Q: A sailboat is running along a straight course with thewind providing a constant forward force of 50…

A: Given: A sailboat is running along a straight course with thewind providing a constant forward force…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 – 2t, where 0 <t < 3 (in…

A: Given vt=13-2t, 0≤t≤3,t=3

Q: An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 + 0.25x²…

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Q: A circle has a radius of 9 cm. If the radius is increased by 0.2 mm, using differentials, what is…

A: We have to find the increase in area

Q: A 32-lb weight stretch a spring 2ft. At t = 0, the mass is released 1 ft above the cquilibrium…

A: The solution is given below

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = , find the…

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Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t 2 – 3t – 18,…

A: Given,           Suppose that a particle moves along a straight line with velocity defined by…

Q: A mass-spring system is subjected to a single external force F (t) = sin (t), which acts for 0≤t≤2π…

A: Given mass-spring system is subjected to a single external force F (t) = sin (t), which acts for…

Q: I need to create a function C(r,h) for a prototype cylindrical can, given a budget of $24pi and with…

A: Perimeter of cylinder is 2πrh total cost of top is 2πrh=24π⇒rh=12cm Now given total surface area is…

Q: Suppose water is leaking from a tank through a circular hole of area A, at its bottom. When water…

A: Given: Let us consider the given, dhdt=-56h32 c=0.6, g=32 ft/s2 Vertex angle=60°

Q: |A projectile is launched vertically from the ground at t = 0 and its velocity in flight (in m/s) is…

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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 tank in the form of a right-circular cone of radius 16 feet and height 40 feet standing on its…

A: given that a tank is in the form of a right circular cylinder of radius 16 feet and height 40 feet…

Q: Suppose an object moves along a line at 19 m/s for 0sts2 s and at 25 m/s for 2<ts5 s. Sketch the…

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Q: If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464…

A: s(t) = 48 + 64t - 16t2Hence, s’(t) = 64 – 32ts”(t) = - 32When s is maximum, s’(t) = 0; hence 64 –…

Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second…

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)

Q: Consider the acceleration function of an object on a projectile motion is a (t) = -32. If v (0) = 28…

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Q: A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400 – 20t, for…

A: Solve the following

Q: The radius r and height h of a cylinder are changing with time. At the instant in question, r = 3…

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Q: A projectile is shot vertically upwards from the earth's surface with air resistance equal to kv-g…

A: Given, Initial velocity=u Air resistance=kv^2g if height is h then we have to prove  h=1/2kg…

Q: If the velocity function v(t) of an object is at its maximum, then the value of a(t), its…

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Q: A spring is stretched 12 inches by a 24-pound weight. If the weight is pulled 10 inches below the…

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Q: The edge of a cube is measured at 3 cm, with a possible measurment error of 0.2 cm. Use…

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