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Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: a crane lifts a 1000 lb science desk to a height of 20 ft using a chain that weighs 2 lb/ft. If the…

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Q: The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions…

A:

Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: The consumer price index, C, depends on the current value of gross regional domestic expenditure E,…

A: Let's find.

Q: The volume of fluid in an IV (intravenous) drop decreases according to the mathematical model…

A: The  given model of the volume of fluid in IV drop versus time is:   V=-0.110t+1   Where, V is the…

Q: The total cost in pesos of producing x pools of low voltage cable is given by C = 0.002 x3 - 0.5 x2…

A: Given : Total cost in pesos of producing x pools of low voltage cable is given by C = 0.002x3 - 0.5…

Q: You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 198 km south and 193…

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Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: Here we can find the answer as below.

Q: What does it mean when we say that a formula models real-world phenomena?

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Q: In the circulatory system, red blood cells are constantly being destroyed and replaced. They carry…

A: Given system of difference equation is  Rt+1=1-fRt+MtMt+1=γfRt                            (i) Where…

Q: The altitude of a triangle is increasing at a rate of 3 cm/minute while the area of the triangle is…

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Q: 2. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above…

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Q: For a moving object, the force acting on the object varies directly with the object's acceleration.…

A:

Q: At noon, ship A is 12 nautical miles west of ship B. Ship A is sailing south at 15 knots and ship B…

A: v→AB=v→AS+v→SBHere v→AB=velocity of ship A relative to ship Bv→AS=velocity of ship A relative to…

Q: Two people are walking toward a statue. Alex is 200 m East and walking at a rate of 3 m/s. Charley…

A: The rate at which Alex walking is dxdt = -3 m/s when he is at 200 m East i.e., x=200 m The rate at…

Q: true or false that The plane stayed at a constant height for apprOximately 2 hours

A: Given,  In the above statement it is asked whether the plane fly at constant height for two hours

Q: A Plane (Plane A) travels North at a speed of 800 kph. after 15 minutes, another plane (plane B)…

A: Planes are moving same direction :

Q: Phyllis invested 44000 dollars, a portion earning a simple interest rate of 4 percent per year and…

A: given that Phyllis invested $44000, P=44000 for 1 year, T=1  some amount at 4%, R1=4% some amount at…

Q: A parachutist whose mass is 65 kg drops from a helicopter hovering 1500 m above the ground and falls…

A: Let y (t) be the Parachutist’s height above the ground. y (0) = 1500 m  ,  y’(0) = 0 and m y’’+ b y’…

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: It is given that the plant grows 1.67 cm in its first week. Each week the plant grows by 2% more…

Q: A lighthouse is located on a small island 3km away from the nearest point P on a straight shoreline…

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Q: In Exercises 46-48, suppose that Stuart is 6 feet tall and is walking towards a 20-foot streetlight…

A:

Q: A body of unknown temperature is placed in a refrigerator at a constant temperature of 0 degree…

A: Given that the body of unknown temperature is placed in a refrigerator at constant temperature of 0…

Q: The horsepower (hp) that a shaft can safelytransmit varies jointly with its speed (in revolutions…

A: Let the diameter of the shaft is d and the speed is 's' and horsepower be h According to the…

Q: You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 120 km south and 130…

A: The flight path of airplane is along the line  y=-120130xy=-1213x13y=-12x The perpendicular line…

Q: A roast turkey is taken from an oven when its temperature has reached 190 degrees Fahrenheit and is…

A: This is the problem of the Application of the Calculus.

Q: You're flying from Joint Base Lewis McChord to an undisclosed Location 259km south and 205km east.…

A:

Q: b) A train runs 240 miles at a speed of 60 m.p.h., another 480 miles at a speed of 80 m.p.h., then…

A: first part distance of journey travelled D1 = 240 miles speed of the the train in the first part of…

Q: 9. At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is…

A: Given Ship A is 160 km north of ship B Ship A is sailing south at 40Km/h and ship B is sailing east…

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Take the position of ship B as the origin. So the coordinates of ship A are: (-170,0) Coordinates of…

Q: Ben is walking with his backpack. If Ben is 65 kg, walking at a rate of 2 m/s and his backpack is…

A: Given  Mass of Ben m1= 65 kgvelocity v=2m/s.Mass of backpack m2=0.5 kg

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: In this question we have to find how fast is the distance between the ships is changing at 4:00 PM.

Q: The mass of the sun is 329,320 times that of the earth and its radius is 109 times the radius of the…

A: Let us assume Msun be the mass of the sun, Mearth be the mass of earth, Rsun be the radius of the…

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light,…

A:

Q: Answer all of the points with formulas and full procedure.  Given the quation y = -2x+22 : a)…

A: (1) Given information: The given linear decay function is y=-2x+22. Definition: The linear decay…

Q: How long does it take the rock to reach half its maximum height? How long is the rock aloft?

A: Given : velocity of rock thrown vertically upward = 8 m/sec Height, s = 8

Q: Phyllis invested 65000 dollars, a portion earning a simple interest rate of 4 percent per year and…

A: We will create two equations in terms of investments using simple interest formula. Then solving…

Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

A: Given: Total cost of producing x calculators per day is given by equation, C(x)=6+2x+32

Q: ek. che line of best fit is y=-0.4x+ 6.92. ent Time spent -x exercising, y s) (in hours) 10- 6.58 8.…

A: In this question, The equation of the line of best fit is given for predicting the time spent…

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: the average monthly bill for wireless subscribers from 1985 to 2008 can be modeled by…

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Q: A steel ball is heated to 120°C and then immersed in a vat of water kept at a constant temperature…

A:

Q: Suppose we create a model of the height of a shrub (Y) based on the amount of bacteria in the soil…

A: Let Y: Height of a shrub X1: Amount of bacteria in the soil X2=1 ; If the plant is in full sun0 ; If…

Q: If you walk at 1 km/h down the aisle toward the front of a train that is moving at 60 km/h, what is…

A: We have,  you are moving at 1 km/h down the aisle toward the front of a train. and train is moving…

Q: Find: > LSRL equation and predict the number of hours of walk per week for 35-year old person > r…

A: The independent variable is Age. The dependent variable is Hours of walk per week. This is simple…

Q: A man, 1.84 m tall is walking on a horizontal street at 3.9 kph away from a vertical street light,…

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.