of 8 Question 7 At time t hours a company is selling items at a rate of r(t) items per hour. 10 Interpret the statement | r(t) dt = 280. %3D

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Q: 3. Suppose a child going down a slide experiences an acceleration of a(t) = (- cost,- sin t, –1).…

A: Given,  Acceleration is,  at=-cos t, -sin t, -1Writing in vector form,at= -cos ti^ + -sin tj^+…

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Q: 17. The displacement (in meters) of a particle in motion is given by a= dt -t², where t is measured…

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Q: Lets assume that y(t) represents how many fish are harvested in month t. Solve dy/dt =1/(y+yt2) with…

A: The given differential equation is: dydt=1y+yt2 and y0=4 Here t in month To find approximately how…

Q: Q2] can transmit the disease but who exhibit no overt symptoms. Let r and y denote the proportions o…

A: Here c1 is arbitary .

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Q: A particle moves along the x-axis with it's position at time t given by x(t)=(t-a)(t-b) where a and…

A: Given A particle moves along the x-axis with it's position at time t is   x(t)=(t-a)(t-b)  where a…

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Q: ) L -dx (x² + 1)²(x² + 2x + 2)` sen? t dt, for 0 <b< a. a+b cost

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx x + 3y? + 6y…

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Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

A: A detailed solution is given below.

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Q: Two particles have positions at time t given by s =4t-t^2 and s=5^2-t^3. Find the velocities v1 and…

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Q: Solve the DEQ given the initial condition (2,0). Graph it on the slope field. 11 « 10 Let…

A: dydx=g(x,y)g(x,y)=ey(3x2) - dydx=ey3x2Separating the…

Q: 2. Suppose s(t) is the position of an object moving along a line at time t > 0. Describe a process…

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Q: 2. The altitude of a helicopter at three different instants is listed as below: 0.3 1, sec 0.2 h, m…

A: We will solve this using 2 point forward and 2 point backward difference formula

Q: Water is being drained from a spout in the bottom of a cylindrical tank. According to the…

A: Given  , Rate if drain: dV/dt = - 1.8L/min By integrating the equation we get the volume.

Q: One model for the spread of epidemics assumes that the number of people infected changes at a rate…

A: Here we will verified the given solution.

Q: A particle is moving with acceleration a(t)=12·t+3. At time t=0, its position is s(0)=7 and its…

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Q: A type of sugar in the blood, also known as glucose, which is one of the major sources of energy, is…

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Q: 3. The formula g = 2s /is used to determine the acceleration of gravity. For a possible error of 1%…

A: Let's find.

Q: A particle moves along a line with acceleration 2 + 6t at time t. When t= 0, its velocity equals 3…

A: Particle acceleration velocity and position.

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Q: 11) A brake company is testing their brakes. When the brakes are pressed fully, it creates a…

A: When the brake is applied then  deceleration a = - 25 ft/s2 Car travelling speed v = 100 ft/s Let…

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Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find da/dt in…

A: Given that  Area of the circle =A  Radius of the circle =r  To find the rate of change of area

Q: 5. If a ball is thrown into height in feet t seconds later is given by y = 40t - 16t?. (a) Find the…

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Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

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Q: 1. The position of a particle at time t is given by s(t) = t³ – t2. Using a table, estimate the…

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Q: Suppose that a furniture removal truck gradually speeds up so that for the first 10s its…

A: We will find out the required values.

Q: A particle moves along a straight line with equation of motion s = t – 1tª Find the value of t…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: A particle moves along a straight line with velocity function v(t) = 8sin (t)- 4cos(t) and its…

A: Just integrate the velocity function and find the value of integration constant with the given…

Q: – 4.9 + 15t + 8 meters above the ground. What is An object is thrown upward at timet = 0. After t…

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Q: n a culture of yeast the rate of growth dy/dt is proportional to its population present at any time…

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Q: 2. Matter cools governed by = -k(T – B) where ß is the dt temperature. Clearly T(0)=25 degrees and…

A: Given, dTdt=-kT-β where β is the room temperature, i.e. surrounding temperature. Newton's Law of…

Q: A 5-m ladder leans against a wall. Assume the bottom slides away from the wall at a rate of 0.7 m/s.…

A: At t=0, x=1.5 m dxdt=0.7 m/s ∴xt=tdxdt+x0x2=2×0.7+1.5=&gt;x2=2.9 m

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

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Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

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Q: A particle moves along the x-axis so that at any time t ≥ 0 its velocity is given by…

A: Given: v(t)=t2ln(t+2)we know that acceleration of particle is differentiation of velocity of…

Q: 2. A honeybee population starts with 100 bees and increases at a rate of f'(t) bees per week. What…

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Q: dy dx Suppose x and y are functions of a third variable t. If 2sin(x) + 4cos(y) =3 and dt -3, what…

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Q: Q 10 Show that for motion in a straight line with constant acceleration a, initial velocity vo , and…

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Q: The velocity is equal to the rate of change of distance x (m), dx v(t) dt (1.1) a. Substitute Eq.…

A: After substituting Eq. (1.2) to Eq. (1.1), we have dxdt=gmc1−e−cmt

Q: A)If A is the area of a circle with radius r and the circle expands as time passes, find  dA dt  in…

A: a) Given A is the area of a circle of radius r A=πr2 Then, dAdt=2πrdrdt...(1)

Q: f(t) = e-t sinh(5t) s2+25 s+1 s2+28+26 g2 +25 s2+28+26

A: Given function is f(t) = e-tsinh(5t)