elated Rate Problem: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the other travels due East at 40

Q: At high noon, boat A is exactly 30km due West of boat B. Boat A is heading South at a speed of 50…

A: From the given information, each boats travels 2.5 hours after noon and A is heading South at a…

Q: A car and a plane are racing each other. Both start at the same position, with the plane being 500m…

A: Form a triangle where y=500 m = 0.5 kmx = distance between plane and car = 70m = 0.07…

Q: Problem #2 One airplane is approaching an airport from the north at 199 km/hr. A second airplane…

A: We have to find the rate at which distance between the planes is changing.   According to our…

Q: 1. Describe related rates problem. 2. How can you solve related rates problems?

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Q: The sides of an equilateral triangle are increasing at the rate of 3 cm/min. Find the rate of the…

A: Given,          The sides of an equilateral triangle are increasing at the rate of 3 cm/min.…

Q: 3.7 - related rates car traveling north at 40 mi/hr and a truck traveling east at 30 mi/hr leave an…

A: We have given,Speed of car travelling north = 40 miles/hrSpeed of truck travelling east = 30…

Q: 3. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

A: According to Newton's law of cooling, we have T(t)=Ts+(T0-Ts)e-ktwhere T(t)- temperature of body at…

Q: 1. One car leaves a given point and travels north at 30 mph. Another car leaves 1 HOUR LATER, and…

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Q: Two cars start moving from the same point. One travels south at a rate of 60 mi/h and one travels…

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Q: Two airplanes are flying in the air at the same height: airplane A is flying east at 450 mi/h and…

A: Given Speed of airplane A = 450 mi/h Speed of airplane B = 500 mi/h Distance of airport = 50 miles…

Q: A streetlight is mounted at the top of a pole. A man walks away from the pole. How is the rate at…

A: The given situation is:

Q: 3 Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

A: Given the data:

Q: 2. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

A: This question is from Newton's law of cooling

Q: In a chemical manufacturing plant, a certain type of chemical B is produced through reactions in…

A: Given - In a chemical manufacturing plant, a certain type of chemical B is produced through…

Q: According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

A:

Q: 4. Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 5…

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Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 350 mph and…

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Q: Two cars drive towards each other at a right-angled intersection. Car A drives straight north, and…

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Q: 3. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

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Q: In response to rising concerns about identity​ theft, the number of models of paper shredders a…

A: It is given that, in the year of 1993 the model was 3 and in the year of 2008 the model was 38.

Q: A businessman found out that there is a need for a great supply of a certain type of ornamental fish…

A: Given: Fish grows and multiplyin captivity at a rate proportional to its population for any given…

Q: Water leaks from a cylinder, with axis vertical, through a small orifice in its base at a rate…

A:

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

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Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 200 mi/h and…

A: Given that: Two Planes are flying in the air of same height Airplane A is flying east at 200 mi/hr…

Q: the area of the triangle is increasing at a rate of 44 square centimeters/minute. At what rate is…

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Q: A spotlight on the ground shines on a wall 12 meters away. A man of 2 meters tall walks towards the…

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 41 km/h…

A: Given problem is : Two cars are headed for the intersection of the two roads. If Car A is travelling…

Q: hot air balloon is rising vertically at a rate of 1 meter per second. An observer standing 90 meters…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: NOTE: Refresh your page if you can't see any equations. . l=length of the rectangle w=width of the…

Q: Problem: A person who is 6 feet tall is walking away from a lamp post at the rate of 40 feet per…

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Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

A: Distance travelled by North car A in 1 hour= speed x time=30 mph x 1=30 milesDistance travelled…

Q: 1 A police car is at rest and is located 8. mile due west of a street intersection. Another car is…

A: Let the police car be A, it is at rest and located 18 mile due west of a street intersection,…

Q: A road running north to south crosses a road going east to west at a point P One car is driving…

A:

Q: According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

A: according to newton's law dTdt=-kT-Tm           ...i here Tm is the room temperature as given…

Q: (6) A person 2 meters tall walks directly away from a streetlight that is 8 meters above the ground.…

A: At first we draw the diagram  AC  is the street light, DE is the person. Let distance between…

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: According to Newton′s Law of Cooling, the rate of change of an object's temperature is proportional…

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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…

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Q: Problem 1: Phil is driving toward the intersection at a rate of 30km/h while along the perpendicular…

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

Q: Two cars start moving from the same point . One travels south at 48 m/h and the other travels west…

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Q: 2. Two cars are initially 1000 miles apart on a road that runs East/West. Car A drives 40 miles per…

A: Position at initial stage: Direction:

Q: 3. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

A:

Q: 3) One airplane is approaching an airport from the north at 163 km/hr. A second airplane approaches…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Let altitude = h  Area= A Base=B Given dh/dt= 1 , dA/dt=2  We have to find dB/dt at h=10 and A=110…

Q: By Newton's Law of Cooling, the rate at which an object cools is directly proportional to the…

A: let T denote the temperature of an object and T0 the surrounding temperature. If t denotes time,…

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A:

Q: According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

A:

Q: 5) One airplane is approaching an airport from the north at 145 km/hr. A second airplane approaches…

A: When the distance between the airport and the southbound plane is 30 km & the distance between…

Q: A certain mold grows at a rate proportional to its present size. If the original amount doubles in…

A: Given that a certain mold grows at a rate proportional to its present size. And the original amount…

Q: 9. One ship is approaching a port from the east, traveling west at 15 miles per hour, and is…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.