3.7 - related rates car traveling north at 40 mi/hr and a truck traveling east at 30 mi/hr leave an intersection at the same time. at what rate will the distance between them be changing 3 hours later?

Q: 7. [10] A balloon rising from the ground at 140 ft/min is tracked by a rangefinder at point A,…

A:

Q: Water drains from the conical tank at the rate of 5ftmin 14. 4 10 Exit rate: 5 ft/min a. What is the…

A: By using the concept that the sides of similar triangles are proportional, therefore, the ratio of r…

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: This is a problem related to distance and velocity. By using the below formula we will solve given…

Q: s. Two boats leave a port at the same time. One travels west at the speed 20 miles per hour and the…

A:

Q: 31) As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume…

A:

Q: Hooke’s law states that the distance that a spring is stretched by hangingobject varies directly as…

A: Let distance= y Mass of the object= x According to the question y=kx  k=constant  Given that y=20…

Q: 1. A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area…

A: Given that: Rate of decrease of area = 0.5 m2/s

Q: A golf ball is hit from a Sandtrap 1.5 m below ground level with an initial velocity of 50 m/s what…

A:

Q: 3. A boat is pulled to a dock by a rope attached to the bow of the boat and passing through a pulley…

A: Explanation of the answer is as follows

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A:

Q: 10. A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

A: Here we use the property of right angle triangle.

Q: 13. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

A:

Q: At 1:00 P.M., oil begins leaking from a tank at a rate of (4 + 0.77t) gallons per hour. (Round your…

A: We have, at 1:00 P.M., oil begins leaking from a tank at rate 4+0.77t gallons per hour. Let us…

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

A:

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A:

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: The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. When x = 4 m, at what…

A:

Q: betw A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off…

A: Given that,

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A:

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

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

Q: 5. A man 1.9 meters tall is walking away from 6,7-meter-tall lamp post at the rate of 170 cm/s. a.…

A:

Q: 3. ) The height of a balloon is decreasing at a rate of 2 ft/sec. Lorenzo is skating along a…

A:

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: Given that , h=48 inch r1=3 feet , r2=5 feet find average rate of change in volume.

Q: The radius of a circle is increasing at a constant rate of 0.2 meters per second. What is the rate…

A: Given, radius of circle is increasing at a constant rate of 0.2 meters per second. ⇒drdt=0.2 m/sec…

Q: One side of a triangle is increasing at a rate of 8 cm/s and a second side is decreasing at a rate…

A:

Q: The radius of a circle is increasing at a constant rate of 0.2 meters per second. What is the rate…

A: At the instant when the perimeter of the circle is 20π, then p=2πr20π=2πrr=10 m

Q: Car X is travelling west at 20 kph and Car Y is travelling south at 30 kph. Both are headed for a…

A:

Q: 1. A biker is 50 meters away from a pole. The biker starts to ride south parallel to the pole at a…

A: Solution is given below:

Q: Two cars are moving towards an intersection. One car is 160 meters north of the intersection and…

A: Consider the following figure: Consider the intersection be Point O. Car A is 160 meters north of…

Q: The original 24 m edge length x of a cube decreases at the rate of 2 m/min. a. When x 6 m, at what…

A: Given : The original 24 m edge length of a cube decreases at the rate of 2 m/min

Q: A voltage V across a resistance R generates a current I=V/R. If a constant voltage of 6 volts is put…

A: A voltage V across a resistance R generates a currentI=V/R. V is constant and is 6 volts

Q: b. One airplane is approaching an airport from the north at 206 km/hr. A second airplane approaches…

A:

Q: Two cars are moving towards an intersection. One car is 170 meters north of the intersection and…

A: Introduction: The formula of the linearization of the function y=f(x) at the point x=a is given by,…

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: 21. A hot air balloon rising vertically is tracked by an observer located 4 km from the lift-off…

A:

Q: O H.W 1: Two cars leave from the same position at the same time. One travels due North at 30 km/h,…

A:

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: One side of a triangle is increasing at a rate of 7 cm/s and a second side is decreasing at a rate…

A:

Q: Blkers A and Bare travellng on perpendicular roads. At the same time, biker A Is leaving the…

A:

Q: 3. A police cruiser, approaching a right- angled intersection from the north, is chasing a speeding…

A:

Q: Water is being drained from a conical reservoir (vertex down) at the rate of 3 cubic feet per…

A: Given the volume flow rate of water is: 3 cubic feet per second. Consider the height of the cone is…

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

A:

Q: 1.The sides of an equilateral triangle are increasing at the rate of 3 cm/min. a) the rate of change…

A: dadt=3 cmmin. (a) Perimeter of triangle = a+a+a      P=3a   dPdt=  3dadt=3×3 =9 cmmin.

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

A:

Q: 6. At noon, ship A is 150 km west of ship B. Ship A is sailing east at 40 km/hr and ship B is…

A: Given query is to find the rate of change of distance.

Q: 4.) A light is placed on the ground 32ft. from a building. A man 6ft, tall walks from the light…

A: Given : A light on the ground is 32 feet away from a building. A 6 foot man is walking from the…

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: Two cars are moving towards an intersection. One car is 150 meters north of the intersection and…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: A car starts moving at timet=0 and goes faster and faster. Its velocity is shown in the following…

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.