Question 16 A balloon is a rising vertically over a point A on the ground at the rate of 15 ft/sec. A point B on the ground is level with and 30 feet from A. When the balloon is 40 feet from A, at what rate is its distance from B changing? A 13 ft/s B 15 ft/s 12 ft/s (D) 10 ft/s

Q: QUESTION B11 A vase with a circular cross-section is shown in Figure 1. Water is flowing into the…

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Q: on a tree farm and the number of years since the trees were plante What is the rate of change of the…

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Q: A balloon is a rising vertically over a point A on the ground at the rate of 15 ft/sec. A point B on…

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Q: Problem 2. Water leaks from a vertical cylindrical tank through a small hole in its base at a rate…

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Q: PROBLEM 3: A person 6 foot tall is holding a ball exactly on top of their head. They then throw it…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Question 8 6. It is estimated that a worker in a shop that makes picture frames can paint y frames t…

A: Given that, Number of frames are given by the following function, y = 3t + 8t2 - t3,    0≤t≤4 work…

Q: Question 11: The speed of a sound wave through liquid glycerol is about 1900 m/s. Which of the…

A: Speed of sound varies from substance to substance. Speed of sound is slow in gases, faster in…

Q: Question 7 A particle travels along a straight line with a velocity of v (t) = 3el) sin (2t) meters…

A: Given : v(t) = 3 e(-t/2) sin (2t)

Q: Question 13 :  A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from…

A: Given the length of street light 11 ft, woman is 6 ft tall, the woman is moving away from the pole…

Q: at FIGURE 10 tomobile past the 232 23. A rocket travels vertically at a speed of 1,200 km/h. The…

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Q: Question 10 : Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It…

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Q: Question 6 Suppose that a particle moves along a straight line with velocity v(t) = 12 - 6t, where…

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

Q: Question 24 A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a…

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Q: After sitting on a shelf for a while, a can of soda at a room temperatu placed inside a refrigerator…

A: Given, Ta= 39°F To= 68°F T= 61°F t= 15 min

Q: Question 12 A cylindrical pool has a height of 8 feet and radius of 6 feet. How fast is the volume…

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Q: QUESTION 11 A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2…

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Q: Question 2: The velocity of a dragster t sec after leaving the starting line is 100te -0.2t ft/sec.…

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Q: QUESTION 14 A ball is thrown vertically upwards with a velocity of 48 f/s from the top of a building…

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Q: Question 7 of 12 (a) Find the instantaneous rate of change of pressure with respect to temperature…

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Q: Question 11. For a certain rectangle, the length of one side is always 6 times the length of the…

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Q: Question 6 A car has acceleration given by a(t) = -8e0.24 m/s² and initial velocity 15 m/s. %3D (a)…

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Q: Can you help me step by step?

A: The given situation can be picturized as follows.

Q: Question 6 The area of a square is increasing at a constant rate of 1 cm2/sec. How fast is the…

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Q: QUESTION 6 A kite is rising vertically at a constant speed of 2 m/s from a location at ground level,…

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Q: QUESTION 2 a. An object is shot upwards from ground level with an initial velocity of 3 meters per…

A: Since you have asked multiple question, we will solve the first  question for you.  If you want any…

Q: Question 6 The G string on a guitar has a linear mass density of 3 g/m and is 63 cm long. It is…

A: Use the formula of fundamental frequency and substitute the values to determine the value of string…

Q: QUESTION 9 If the radius of a circle decreases at a rate of 3 ft/s, what can you say about the rate…

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Q: EXAMPLE 5 A man walks along a straight path at a speed of 3 ft/s. A searchlight is located on the…

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Q: Question 1 A triangular trough is 10 ft long, 6 ft across the top, and 3 ft deep. If water flows in…

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Q: QUESTION 21 A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a…

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Q: Question 2 A balloon is rising vertically over a point A on the ground at the rate of 15 feet per…

A: Using differentiation

Q: Question 12 : A spherical snowball is melting in such a way that its diameter is decreasing at rate…

A: We know the volume of a sphere is V=43πr3, where r is the radius. Given that,  Diameter, d=18 cm…

Q: Question 19 : The area of a healing wound is given by A=πr2. The radius is decreasing at the rate of…

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Q: QUESTION 14 A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2…

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Q: Question 1 A stone is thrown vertically upward from the top of a house 112 feet high. If it was…

A: We need to find time when stone passes top on its way down.

Q: An inverted conical water tank with a height of 16 ft and a radius of 8 ft is drained through a hole…

A: Given, Height of water tank = 16 ft Radius of water tank = 8 ft Rate = 5 ft3 per second

Q: QUESTION 6 A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2…

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Q: Problem 5. An observer is positioned 3km away from a rocket launch pad. How fast is the distance…

A: This question can be solved using the concept of rate of change.

Q: Question 4 The radius r of a right circular cylinder with a fixed height of 48 inches is increasing.…

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Q: Question 14 An engineering student is experimenting on a cylindrical can with a fixed rate of 8…

A: Topic:-  application of derivatives

Q: Question 6 From the edge of a cliff, 128 feet high, a man throws a stone vertically upward with a…

A: I am attaching image so that you understand each and every step.

Q: Question 2 Sand is being dropped into a conical pile in such a way that the base radius of the pile…

A: Let's find.

Q: QUESTION 12 A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a…

A: Taking upward direction is positive; u=48ft/s.

Q: In an airplane control problem, an airplane is flying in still air with an airspeed of 275 mph. the…

A: Let's find.

Q: Question 5: A balloon leaves the ground 250 m from an observer and rises at a rate of 5.0 m/s. How…

A: Explanation of the answer is as follows

Q: Question 16 Vith the given equation =E+L Find the average rate of change of y with respect to x over…

A: Topic:- Average rate of change

Q: Question 6 Suppose that a particle moves along a straight line with velocity v(t): = 12 - 6t, where…

A: Solution :

Q: QUESTION 2 The height, h, of a cylinder is two times its radius, r. If the radius of the cylinder is…

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Q: Question 10 A man who is 5 feet tall is walking away from a lamp post that is 10 feet high. How fast…

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Q: Question 16 : An inverted pyramid is being filled with water at a constant rate of 25 cubic…

A: This is a problem related to derivative of the volume of the square base pyramid. Please follow the…