The height g metres, of a ball hit vertically upwards t seconds after it is hit, is given by g()= 41-. How long does it take for the ball to hit the ground?

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A: The population P of a bacteria culture is modeled by P=4100ekt , where t is the time in hours. The…

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Q: An arrow is shot vertically up into the air with an initial vertical velocity of 60 m/s, and its…

A: factor out -5 to do a complete square add and subtract 36

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A: We have to solve the differential equation as a function of t.

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A: An exponential function is a function in which the independent variable is present as an exponent.…

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A: Since, we know that the amount of solid undissolved after t seconds is given by:-A(t)=Aoe-ktAlso, we…

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A: a) Given model:

Q: An investment earning interest at the rate of 10%, compounded continuously, will double in tyears.…

A: Let's solve,

Q: new

A: Please refer to the image below

Q: 3.Divers swimming at 7 meters below the surface found that the light level was 83% that of the…

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Q: the velocity of a sky diver t seconds after jumping is given by v(t)=80(1-e^-0.2t). after how many…

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Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 35e0.012,…

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Q: Neglecting air resistance, the height h (in meters) of an object thrown vertically upward from the…

A: Velocity v(t) = rate of change of height, h(t)Hencev(t) =dh(t)dt Given:h(t) = v0t-12gt2

Q: A species of rabbits has a growth rate of 0.625 a month. If a population of foxes inhabits the same…

A: Given Growth rate of rabbits = 0.625 a month Foxes kills 10 rabbit per day

Q: If a rock is thrown upward on the planet Mars with a velocity  of 10 mys, its height (in meters)…

A: Given: The equation of height of the rock is thrown upward on the planet Mars with a velocity 10…

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

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A: Given, a=0b=6n=6

Q: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

A: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

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Q: If an arrow is shot upward on the moon with a velocity of 58 ms, its height (in meters) after t…

A: Given :         H=58t-0.83t2

Q: The concentration of an antihista-mine in the bloodstream of a healthy adult is modeled by C = 12.5…

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Q: If we put a cool object into a preheated oven, Newton's law of heating tells us that the difference…

A: given: newton's law of heating tells us that the difference between the temperature of the oven and…

Q: The height of a tree is approximated by h(t) = 48/ 1 + 240^e−0.2t where t is the age of the tree in…

A: Given,h(t)=481+240e-0.2there,h(t)=24…

Q: A football is kicked into the air and its height (h) in feet after t seconds is given by…

A: Given that h(t)=-16t2+25t a) Height of the ball when it was kicked i.e., at t=0: h(0)=-16(0)2+25(0)…

Q: The height of a tree is approximated by h(t) = 48/ (1 + 240e^−0.2t) where t is the age of the tree…

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A: it is mixing problem we use linear differential equation to solve this question.

Q: A population of bacteria is growing according to the equation   P(t)=1550e^0.06t, where t is the…

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Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount…

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Q: The energy E (in J) dissipated by a certain resistor after t seconds is given by E = In (t+…

A: Solution

Q: A projectile is launched upward from a height of 720feet with an initial velocity of 64ft/s.The…

A: From the given information;A projectile is launched upward from a height of 720 ft with initial…

Q: A projectile is thrown upward so that it’s distance above the ground after t seconds is h=…

A: Since the height is given by h=-13t2+494t

Q: The doubling period of a bacterial population is 10 minutes. At time t = 110 minutes, the bacterial…

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Q: Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. In…

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Q: After 12 hours, half of a 16 gram sample of a radioactive element remains. Find the constant k for…

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Q: At 2:00 PM a car's speedometer reads 50 mi/h. At 2:15 PM it reads 75 mi/h. Show that between 2:00…

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Q: A particle that moves along a straight line has velocity v(t) meters per second after t seconds. How…

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Q: The rate at which blood pressure decreases in the aorta of a normal adult after a hearbeat is dp/dt=…

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Q: Suppose an object is thrown down from a cliff with an initial speed of 4 feet per sec, and its speed…

A: Initial speed of object is s(0)=4 ft/sec. The speed of object after t seconds is given by s(t)=32t+4…

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