Answered: Velocity of a Hot-Air Balloon the…

Velocity of a Hot-Air Balloon the following function. A hot-air balloon rises vertically from the ground so that its height after t sec is given h = 2 t ft where (0

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 46SE: Near the surface of the moon, the distance that an object falls is a function of time. It is given...

See similar textbooks

Related questions

Q: For f(x) = x, the instantaneous rate of change is known to be 4 at x = 2. Find the equation of the…

Q: Pipe is to be laid from point A in a rectangular plot of size 10 x 20 feet to a point P on side BC…

A: In the above figure, AB=10, BP=x, BC=20AP=AB2+BP2=100+x2PC=BC-BP=20-x Total cost of laying pipe,…

Q: se the second-derivative test to determine the local extrema cof the function f. If the…

Q: A function f(t) gives the rate of evaporation of water, in liters per hour, from a pond, where t is…

A: F(t) – rate of evaporation in litre of water per hour .t measured in hours since 12 noon ʃ f(t) dt

Q: )Listen What does f' (2) represent, if it exists. The average rate of change of f (x) on the…

Q: Velocity of a Ball Thrown into the Air The position function of an object moving along a straight…

Q: The function gives the cost to manufacture x items. Find the average cost per unit of manufacturing…

A: Given: Cx=10000+5x-x210000 ; x=1000

Q: The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Given f(x)=x24(1-x)

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

Q: Jse the Second Derivative Test to classify the relative extrema of the following function, if the…

A: we have to find

Q: Numerically estimate the slope of the line tangent to the graph of the function fat the given input…

Q: Formula for slope: f(x + h) – f(x) m = lim h→0 h 1. Given the function: f(x) = x² + 2x + 1 where x =…

A: The given function f(x)=x2+2x+1 , x=3m=limh→0f(x+h)-f(x)h

Q: Numerically estimate the slope of the line tangent to the graph of the function fat the given input…

A: Given:- f(x) = 3x To find:- f'(2) using given table

Q: Numerically estimate the slope of the line tangent to the graph of the function fat the given input…

A: f(1)=2sqrt(1)=2We use this and plugged the given values of x. Plugged them in calculator to find the…

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

Q: 73. Filling a Bowl If a hemispherical bowl of radius 10 in. is filled with water to a depth of x…

A: The volume of water is given by the equation v=π10-x3x2 where v be the volume and x be the depth.…

Q: 立 Find the average rate of change of the function u(x) = - 3x over the interval[– 2, 1]. average…

A: The given function is u(x) = x2-3x over [-2,1] and [1,1+h] We have to find the average rate of…

Q: Numerically estimate the slope of the line tangent to the graph of the function fat the given input…

A: When x = 0.9

Q: 4. The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward…

Q: A tank contains 240 liters of water in which 30g of salt are dissolved. Salt water with a…

Q: Find the average value of the function on the interval. f(x) = 16 – x2; [-4, 4] Find all x-values in…

A: Explanation of the answer is as follows

Q: Find the average rate of change of the function f(x) = 2x² - 2x- 5, on the interval a E [1,3]. %3D…

A: Topic:- Functions Answer = 6

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: W need to estimate slope.

Q: 18. Average cost. The average cost for Turtlehead, Inc., to produce x units of its thermal outerwear…

A: Given that, The Average Cost for Turtlehead, Inc. to produce x units of its thermal outerwear is…

Q: Snowflakes land randomly on a small area of the ground at a rate of 16 per minute. Let X be the…

A: Solution

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: Here we have to find the slope of the line tangent to the graph of the function f at a given input…

Q: Total profit from marginal profit. Poyse Inc. has a marginal-profit function given by P'(x) = -2x +…

A: Here we find the total profit using differential equations.

Q: A function y = f(x) and values of xo and x1 are given. (a) Find the average rate of change of y with…

A: A change in the value of a variable is the difference between the previous value and the current…

Q: 4. The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward…

A: ..

Q: Numerically estimate the slope of the line tangent to the graph of the function fat the given input…

A: Used x=0.999f(1)=2sqrt(1)=2f(0.999)=1.999000 was there. Plugged all the values then…

Q: The average change of a function f over an interval [¤1, x2] is f(x2)-f(x1) First find the average…

A: We can find the instantaneous rate of change as below

Q: The average change of a function f over an interval [æ1, x2] is f(m2)-f(#1) First find the average…

Q: f. initial value of 200 decreasing at a rate of 4% Function f. g: initial value of 40 increasing at…

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A: fx=x+81x Differentiating with respect to x, we get f/x=1-81x2 Again differentiating with respect to…

Q: A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 9…

Q: Find the average rate of change of the function f(x)=2 to the square root of x from 2 to 6.

Q: Find all relative extrema and points of inflection for the function h(x)=-4x-X +10. You must find…

A: Given h(x)=(x4/4)-4x3-(13/2)x2+10

Q: A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t…

Q: Find the average value of the function on the interval. f(x) = 16 – x2; [-4, 4] Find all x-values in…

Q: The ordering and transportation cost C for the components used in manufacturing a 420 product is C =…

Q: The function y=f(x)y=f(x) is graphed below. Plot a line segment connecting the points on ff where…

Q: The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward from a…

A: as per our guidelines we can answer only 3 question. please repost other seperately

Q: Demand for Tents The demand for Sportsman 5 x 7 tents is given by the following function where p is…

Q: Area of a Balloon A spherical weather balloon is beinginflated. The radius of the balloon is…

A: Radius of the balloon as a function of time. Rt=2t Surface area as a…

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: We are given that f(x)=5x f(1)=5f(0.9)=50.9=4.743416 The slope of secant at x=0.9 is -…

Q: The average rate of change of a function f between x = h and x = c is: average rate of change = f(…

A: this is a basic formula there is nothing complex. the solution is in the below step

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: Find f(x) by substituting x = 0.9, 0.99, 0.999 and 0.9999 in given function.

Q: 14. The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Given fx=x242-x

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: Given function :- f(x) =3√x Estimate f'(1)

Question

Velocity of a Hot-Air Balloon
the following function.
A hot-air balloon rises vertically from the ground so that its height after t sec is given
h =
2
t ft where (0 <t< 60)
+
2
(a) What is the height of the balloon at the end of 38 sec?
ft
(b) What is the average velocity of the balloon between t = 0 and t = 38?
ft/sec
(c) What is the velocity of the balloon at the end of 38 sec?
ft/sec

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Harmonic Motion$

Learn more about

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

Similar questions

A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius of the circle of burning grass is increasing with time according to the formula r(t)=2t+1 , express the area burned as a function of time, t (minutes).
Near the surface of the moon, the distance that an object falls is a function of time. It is given by d(t)=2.6667t2 , where t is in seconds and d(t) is in feet. If an object is dropped from a certain height, find the average velocity of die object from t=1tot=2 .
Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then the total distance traveled over the teo-day period is given by d=300+vt miles. Use a formula to express v as a function of d and t for this two-day event.
For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is modeled by v=0.85sint/3, where t is the time (in seconds). a Find the time for one full respiratory cycle. b Find the number of cycles per minute. c Sketch the graph of the velocity function. Use the graph to confirm your answer in part a by finding two times when new breaths begin. (Inhalation occurs when v0, and exhalation occurs when v0.)