- Distance other sails east at 20 mi/h. Find a function that models the distance D between the ships in terms of the time t (in hours) elapsed since their departure. Two ships leave port at the same time. One sails south at 15 mi/h, and the

Q: A steel drum in the shape of a right circular cylinder is required to have a volume of 100 cubic…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A stone is dropped into a lake, creating a circular ripple that  travels outward at a speed of 60…

A: We have given the speed of the circular ripple is v=60 cm/s. That means the radius of circular…

Q: Environmental Concerns The spread of oil leaking from atanker is in the shape of a circle. If the…

A: The radius of the circular spread of the oil leaking is given as the function of time (in hours) as,…

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A:

Q: NASA launches a rocket at t = seconds. Its height, in meters above sea-level, as a function of time…

A:

Q: A ball is thrown straight upward. The function, s(t) = -16t2 + 40t describes the ball’s height above…

A:

Q: Xandria rides through a jeepney which charges P8.00 for the first 4 Kllometers and additional P0.50…

A: Given: Xandria rides through a jeepney which charges, P8.00 for first 4 kilometers. P0.50 for each…

Q: Express the altitude h and area A of an equilateral triangle as a function of its side S

A: Consider the equilateral triangle given below, Here, S=side of the equilateral triangleh=height of…

Q: An object dropped from a height of 500 feet has a height, h(t), in feet after t seconds have…

A: To express t as a function of h h=500-16t²

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A: If you like the solution then please give it a thumbs up... The Answer is:    (a) t  = 64.58  sec…

Q: An oil slick is expanding as a circle. The radius of the circle is initially 3 meters and increases…

A:

Q: A ball is thrown from the top row of seats in a stadium The function h(t) = -161 + 48t + 160 gives…

A:

Q: A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius…

A:

Q: (a) Express the angle of elevation 0 of the sun as a function of t length s of the shadow.

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Q: A ball is thrown in the air from the top of a building. It’s height, in meters above ground ,as a…

A: Consider the given function ht=-4.92+30t+10

Q: The acceleration due to gravity is-9.8 meters per second squared. An object is thrown upward from a…

A:

Q: An object dropped from a height of 400 feet has a height, h(t), in feet after t seconds have…

A: Given : h(t)=400-16t2   To find : a) t(h)b) time to reach height of 350 feet

Q: A function expresses an object's position, s(t), in terms of time, t. The average velocity of the…

A: At t1=3, st1=s3 And at t2=6, st2=s6 So ∆s∆t change in position that is ∆s=s6-s3 and change in time…

Q: At noon, ship A was 12 nauticalmiles due north of ship B. Ship A was sailing south at 12…

A: Suppose t be the time s be the distance between the ships. Use the formula to calculate the distance…

Q: A blimp can be seen flying at an altitude of 51005100 feet above a motor speedway during a race. The…

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Q: Lisa lives 2050 feet due west of a park bench and Sarah lives 1620 feet due east of the same bench.…

A: Answer is below

Q: The population P of elephants in a wild animal preserve changes with time (in years) according to…

A: Here, the given differential equation is: dP-0.0005P(190-P)dt=0 Find P as a function of t if there…

Q: An asteroid is spied by a ground-based telescope, traveling toward the sun. It is noted that the…

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Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a…

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Q: ces. 1. Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends.…

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Q: NASA launches a rocket att = 0 seconds. Its height, in meters above sea-level, as a function of time…

A: The rocket splashes into the ocean means the height of the rocket is ZERO.

Q: An asteroid is spied by a ground-based telescope, traveling toward the sun. It is noted that the…

A: Given that       An asteroid is spied by a ground-based telescope, travelling towards the sun.  It…

Q: An object dropped from a height of 400 feet has a height, h(t), in feet after tt seconds have…

A: An object dropped from a height of 400 feet has a height, h(t), in feet after t seconds have…

Q: The function gives the distances (in feet) traveled in time t (in seconds) by a particle. Find the…

A:

Q: NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time…

A: Given query is to find the max height and the time of splashing for the rocket.

Q: NASA launches a rocket at t= 0 seconds. Its height, in meters above sea-level, as a function of time…

A: solution: The objective is to find  what time does the flash down occur

Q: At the surface of the ocean, the water pressure is the sameas the air pressure above the water, 15…

A: Given: At the surface of the ocean, the water pressure is the same as the air pressure above the…

Q: Divers in Acapulco, Mexico, dive headfirst at 8 feet per second from the top of a cliff 87 feet…

A: Use the position function s(t) = −16t2 +v0t + s0Where,v0 = initial velocitys0 = initial positiont =…

Q: O seconds. Its height, in meters above sea-level, as a function of time NASA launches a rocket at t…

A:

Q: A stone is dropped into a lake, creating a circular ripple thattravels outward at a speed of 60…

A: (a) Express the radius of this circle as a function of thetime t(in seconds).

Q: Determine the function described and then use it to answer the question. An object dropped from a…

A: Given,The function h(t) = 600-16t2Where h represents the height and t represents the time in…

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A:

Q: NASA launches a rocket att = 0 seconds. Its height, in meters above sea-level, as a function of time…

A: The function of time is ht=-4.9t2+112t+115

Q: A ball is thrown straight down from the top of a 429-foot building with an initial velocity of -23…

A: We know v(t)= s'(t)

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A: Given: NASA launches a rocket at t =0 t =0 seconds. Its height, in meters above sea-level, as a…

Q: The average height of water in a harbour is 5 m. At low tide, the water height is 3 m. The tide…

A:

Q: The outside temperature over the course of a day can be modeled as a sinusoidal function. Suppose…

A: Now we will solve the problem using sine function.

Q: Lisa lives 2050 feet due west of a park bench and Sarah lives 1620 feet due east of the same bench.…

A: Lisa lives 2050 feet due west of a park bench and Sarah lives 1620 feet due east of the same bench.…

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A: Given

Q: NASA launches a rocket at t is given by h(t) = - 4.9t + 46t + 283. O seconds. Its height, in meters…

A:

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A:

Q: An advertiser goes to a printer and is charged $37 for 50 copies of one flyer and $49 for 238 copies…

A: Given: An advertiser goes to a printer and is charged $37 for 50 copies of one flyer and $49 for 238…

Q: A text message plan costs $4 per month plus $0.15 per text. The monthly cost, f(x), for x text…

A: Given, A text message plan costs $4 per month plus $0.15 per text

Q: A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius…

A: We know that ,a+b2=a2+2ab+b2Area of circle=πr2

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.