wo people are at an elevator. At the same time one person starts to walk away from the elevator at a rate of 4 ft/sec and the other person starts going up in the elevator at a rate of 8 ft/sec. What rate is the distance between the two people changing 20 seconds later?

Q: Two cars are at an intersection. One goes east at a speed of 40 feet per second; the other goes…

A: Given Data: The speed of car 1 is: dxdt=40 ft/sec The speed of car 2 is: dydt=60 ft/sec The distance…

Q: The height of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is…

A:

Q: A man 6 ft tall is walking toward a building at the rate of 5 ft/s. There is a light on the ground…

A:

Q: Two ships leave port at the same time. One travels north at 6 knots (that is, 6 nautical miles per…

A:

Q: One leg of a right triangle is always 12 cm long, and the other leg is increasing at a rate of 1…

A: Given that the length of one leg is=12Let the length of the other leg=xThe length of the…

Q: Two cars are at an intersection. One goes east at a speed of 40 feet per second; the other goes…

A: Given The first car is 240 feet away from the intersection and the other is 360 feet away from the…

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

A:

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

A: Let x be the distance travelled by Person A at a speed of 5 meter per second, after 25 minutes. Use…

Q: A kite 30 m above the ground moves horizontally at a speed of 10 m/min. At what rate is the angle…

A:

Q: Two cars start moving from the same point. One travels south at 40 mph and after one hour, the other…

A:

Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

A: Let t= time in second d=distance Also, consider second skater time in second is t .

Q: boy 5 feet tall walks at a rate of 3 feet/sec towards a streetlamp that is 12 feet above the ground.…

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Q: Two cyclists start at the same point and travel in opposite directions. One cyclist travels  6…

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Q: a man 6ft tall walks at rate 5ft/sec away from a lamppost that is 13 ft high. At what rate is the…

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Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

A: The rate of change of a function at a value is equal to the derivative of the function at that…

Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

A:

Q: One car leaves a given point and travel north at 30 mph. Another car leaves 1 hour later, and travel…

A:

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

A:

Q: Two trains travel toward each other from points which are 195 miles apart.They travel at rate of 25…

A:

Q: A baseball diamond has equal sides of 90 ft in length and each pair of adjacent sides are…

A: We will use vector projection and project the velocity vectors of B and C along the line joining…

Q: Two cyclists start at the same point and travel in opposite directions. One cyclist travels  9…

A:

Q: Two people start from the same point. One walks east at 2 km/h and the other walks northeast at 3…

A:

Q: Two people on bikes are at the same place. One of the bikers starts riding directly north at a rate…

A:

Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

A:

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

A:

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: A helicopter flies parallel to the ground at an altitude of 1/2 kilometre and speed 2 kilometre per…

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: Definition used -        Pythagorean theorem - In a right angle triangle, The Square of the…

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: Given,Height of the helicopter from the ground (h) = 1/2 = 0.5 kmSpeed of the helicopter (s) = 2 km…

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

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

Q: A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at the…

A:

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

A: Given Data: The distance of airplane 1 is: x=100 miles The speed of airplane 1 is: dxdt=400 miles/hr…

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west…

A:

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: Let t be the time taken by helicopter Speed = 2 km/min Horizontal distance = x = 2t km Vertical…

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

A:

Q: The side of an equilateral triangle decreases at the rate of 1 inch per second. When the area is 100…

A:

Q: A man 167. 68 cm tall is walking directly away from a lamp post fronting a building at the rate of…

A: A man 167. 68 cm tall is walking directly away from a lamp post fronting a building at the rate of…

Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are…

A:

Q: An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant that a…

A: Given: An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant…

Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

A:

Q: One car leaves a given point and travels north at 40 mph. Another car leaves 1 HOUR LATER, and…

A: Let's find rate of change distance between the cars changing at the instant the second car has been…

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

A: Given, Two airplanes at the same altitude converging to a point as they fly at right angles to each…

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

A:

Q: Two people are at an elevator. At the same time one person starts to walk away from the elevator at…

A: Concept: Pythagorean theorem. X2+y2=z2

Q: Two taxicabs left the company's garage and traveled in opposite directions. One taxi leaves at 6 am…

A: Let at time t hours after 6 am they will be 225 km apart. Since one taxi's average speed is 60 kph…

Q: Two ships leave port at the same time. One travels north at 8 knots (that is, 8 nautical miles per…

A: Two ships leave port at the same time. One travels north at 8 knots (that is, 8 nautical miles per…

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 8 m/sec…

A:

Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

A:

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

A: Assuming that car are travelling along the y-axis and x-axis respectively.The position of cars is…

Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

A:

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.