1. A balloon leaves the ground 18m from anobserver and rises vertically at 1.25 m/s. How fastis the balloon receding from the observer after 8seconds?2. Water flows at the rate of 2000 cibic cm persecond into a verical cylindrical tank 120 cm indiameter and 6 m high. How fast is the water levelrising?3. How fast is the surface area of a cube changingwhen the edge is 30 cm. If the edge is changing atthe rate of 3 mm per second?4. A man 1.8m tall walks away from a lamp post 4mhigh at a speed of 1.5 m/s. How fast is his shadowlengthen ?

Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Answered: 1. A balloon leaves the ground 18m from…

1. A balloon leaves the ground 18m from an observer and rises vertically at 1.25 m/s. How fast is the balloon receding from the observer after 8 seconds?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

See similar textbooks

Related questions

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: Surface area of cube = 6x2Where x is the edge of the cube

Q: 3. A light is hung 15 ft above a straight horizontal path. If a man 2 ft tall is walking away from…

Q: A rocket, rising vertically, is tracked by a radar station that is on the ground 5 mi from the…

A: Given that: Rate of increase of distance from radar station = 2000 mi/hDistance between radar…

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

Q: A balloon is 20 m horizontally away from an observer. At an instant, the balloon rises vertically at…

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

Q: A balloon leaves the ground 30 m from an observer. If it rises at the rate of 2 m/s, how fast is it…

Q: 1. A 17 feet ladder is leaning against a wall. If the bottom of the ladder is pulled along the…

A: Given : dx/dt = 5 y = 8 Now we find the dy/dt = ?

Q: 21. A ladder 5 m long is leaning against a vertical wall. If a person pulls the bottom of the ladder…

A: Topic:- application of derivatives

Q: 25. A 10-foot ladder is placed against a vertical wall. Suppose that the bottom of the ladder slides…

A: Given :- dx/dt= 3feet/sec Ladder height= 10feet Find rate at which ladder is sliding down from…

Q: a)How quickly is the water leaving the barrel over the first two seconds? b)Will the water drain…

A: The solution is given below in the next step:

Q: Suppose the radius of a sphere is increasing at a rate of 5 in/second. At what rate is the surface…

A: Given that radius of a sphere is increasing at an of 5 in/sec. Let r be the initial radius of the…

Q: A 10-metre ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

Q: and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this mom

Q: Two cars start moving from the same point. One travels south at 32 mi/h and the other travels west…

Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 2.1 m/s. Find the…

A: Let distance of the man from the pole=x Let the length of the shadow =y…

Q: 2. A 15 foot ladder is resting against the wall. The bottom is initially 10 feet away from the wall…

Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s. How fast does the tip of…

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

A: Given the data :

Q: How fast is the surface area of a circular oil spill in the ocean changing when the radius is 10ft…

Q: An ice cube that is 3 cm on each side is melting at a rate of 2 cm3 per min. How fast is the length…

A: Given: Length of cube L=3cm Rate of melting =-2cm3

Q: A balloon is 30 meters above the ground when a car, running at 40 kph, passes directly below it. It…

A: Given, A balloon is 30m above the ground when a car, running at 40kph passes directly below…

Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume…

Q: 2) A 5-ft ladder, leaning against a wall, slips so that its base moves away from the wall at a rate…

Q: 7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the…

A: Given data A ladder slides a vertical wall at rate of 0.15 m/s find the length of ladder = ?

Q: 7. A conical pile is formed by pouring sand at a rate of 30 cm/s. When its base diameter and…

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

A: Consider the provided information, Let x and y be the traveled by the cars after time t. We can…

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

A: Given a lighthouse which is located on a small island 3 km away from the nearest point P

Q: 1. A conical paper cup 4 inches across the top and 4 inches deep is full of water. Since there is a…

A: We have been given the cone as in the figure By the given figure we get r = 2 in. and h = 4 in. We…

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline…

A: Let y be the distance of lighthouse from nearest point on the shoreline and at time t, the beam…

Q: A spherical balloon is inflated at a rate of 10 cm3>min. At what rate is the diameter of the…

Q: The area of a circle increases at a rate of 4 cm2 / s. a. How fast is the radius changing when the…

A: I have given an answer in step 2.

Q: C. Two cars start moving from the same point. One travels east at 55mi/h and the other travels south…

A: We use Pythagoras theorem

Q: 3) A camera is located on the ground 3000 ft from the spot where a rocket takes off. If the rocket…

Q: 4. A street light is at the top of a 16 ft pole. A 6 ft tall woman walks along a straight path away…

Q: An ice cube that is 3 cm on each side is melting at the rate of 2 cubic cm per min. How fast is the…

Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

Q: At what rate is the height of the water rising at the instant the tank is half full?

A: To find the rate at water rising

Q: A 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: A 13 feet ladder is leaning against the wall. The top slips down the wall at a rate of 2 ft/s. The…

Q: 1. How fast is the water level rising in a rectangular fish tank whose base is 20 ft² if the tank is…

A: Give: Area of base is A=20 ft2 Rate with which tank is filling dVdt=0.5 ft3/min. Volume of a…

Q: 2. A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from…

Q: 1. The volume of a sphere is changing at 10 inches per second. How fast is the radius changing at…

A: i have solved question number 1 for next question please repost.

Q: A light is hung 7m above straight horizontal path. If a man 2meters tall is walking toward a light…

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline…

Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How…

A: Given, A balloon leaving the ground 60 ft from an observer rises vertically at the rate…

Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume…

Q: 5. A cone-shaped ice cream is melting at the rate of 2cm/s in a manner that maintains its original…

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

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

A: A goes to south at 16 mi/h, so dA/dt= 16 After 3 hours A will be 16*3=48 mi away from the origin.…

Question

1. A balloon leaves the ground 18m from an
observer and rises vertically at 1.25 m/s. How fast
is the balloon receding from the observer after 8
seconds?
2. Water flows at the rate of 2000 cibic cm per
second into a verical cylindrical tank 120 cm in
diameter and 6 m high. How fast is the water level
rising?
3. How fast is the surface area of a cube changing
when the edge is 30 cm. If the edge is changing at
the rate of 3 mm per second?
4. A man 1.8m tall walks away from a lamp post 4m
high at a speed of 1.5 m/s. How fast is his shadow
lengthen ?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Pythagoras' Theorem$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the volume of a prism with a base area of 220.0 square centimeters and a height of 7.600 centimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the base area of a right circular cone that is 15.8 centimeters high and has a volume of 1070 cubic centimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a right circular cylinder that has a height of 4,600 inches and a base area of 53.00 square inches.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.
The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10 in. Find the exact a Lateral area b total area c volume.