A small plane in flight consumes fuel at a rate (in gal/min) given by a. Find a

Question:

A small plane in flight consumes fuel at a rate (in gal/min) given by

if 0 < t < 8 (take-off)| if t> 8 (cruising). 4t 1/3 R'(t)

a. Find a function R that gives the total fuel consumed, for 0 ≤ t ≤ 8.

b. Find a function R that gives the total fuel consumed, for t ≥ 0.

c. If the fuel tank capacity is 150 gal, when does the fuel run out?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books

Question Posted: Apr 06, 2019 08:24 AM

See More Questions

Find the function r that satisfies the given conditions. 3 2t k; r(0) = i + te-*j 3k r'(t) Vi? + 4 t2 + 1
Find the function r that satisfies the given conditions. r'(t) = (0, 2, 2t); r(1) = (4, 3, -5)
Find the function r that satisfies the given conditions. r'(t) = (1, 2t, 3t 2 ); r(1) = (4, 3, -5)
The following data are for four independent process-costing departments. Inputs are added uniformly. Required: Compute the equivalent units of production for each of the preceding departments using...
Suppose that River Cruises, which currently is all-equity-financed, issues $250,000 of debt and uses the proceeds to repurchase 25,000 shares. Assume that the firm pays no taxes and that debt finance...
The file server of Fig. 6-6 is far from perfect and could use a few improvements. Make the following modifications.(a) Give the client a third argument that specifies a byte range.(b) Add a client...
The defendant, Sterile Technologies, Inc., purchased a sterilizer from the plaintiff, Troy Boiler Works, on an installment payment plan. The defendant was to make installment payments charged with
Tierney Company begins operations on April 1. Information from job cost sheets shows the following. Job 12 was completed in April. Job 10 was completed in May. Jobs 11 and 13 were completed in June....
First Draw an ER Model please and then covert it into relational model seperate figures required thank you Each cinema is identified by its name and has its residency at an address which consists of...
Let F be the language of all strings over {0,1} that do not contain a pair of 1s that are separated by an odd number of symbols. Give the state diagram of a DFA with five states that recognizes F....
Starting at the same point on a straight road, Anna and Benny begin running with velocities (in mi/hr) given by v A (t) = 2t + 1 and v B (t) = 4 - t, respectively. a. Graph the velocity functions,...
Water flows out of a tank at a rate (in m 3 /hr) given by V'(t) = 15/(t + 1). If the tank initially holds 75 m 3 of water, when will the tank be empty?
According to the same survey quoted in Problem 9, of the men interviewed, 20% had asked for a raise and 59% of the men who had asked for a raise received the raise. If a man is selected at random...
Howard is the bookkeeper for a convenience store. The convenience store completed a physical inventory at the end of the year. The beginning inventory was $35,000; however, the count taken was...
Given the following find_min algorithm on an array A of n elements. find min: min =A[0] for(i=0; i
For the unfinished ongoing project, the business received customer prepayment $1100,000 for the project that will be fully completed at the beginning of the next month. Indicate how to record this...
A surviving spouse with one dependent child has a gross income of 6 8 , 1 7 0 per year. If 3 , 0 0 0 is withheld from the taxpayers wages for federal income taxes, what is the amount of the taxpayers...
Suppose a comp sale occurred at a transaction price of $400,000, and was financed by the seller with a $300,000 note, for 25 years at 2.5%. The market rate of interest at the time of the sale was 3%,...
Describe the general characteristics of a futures contract. How does a clearinghouse facilitate the trading of financial futures contracts?
On April 29, 2015, Auk Corporation acquires 100% of the outstanding stock of Amazon Corporation (E & P of $750,000) for $1.2 million. Amazon has assets with a fair market value of $1.4 million (basis...
If f(x, y) = 16 4x 2 y 2 , find f x (1, 2) and f y (1, 2) and interpret these numbers as slopes. Illustrate with either hand drawn sketches or computer plots.
Find an equation of the tangent plane to the given surface at the specified point. z = 2y /x, (1, 1, 2)
Find the directional derivative of f at the given point in the direction indicated by the angle . f(x, y) = arctan(xy), (2, 3), = 3/4
Given the info below answer the question Inventory 12/31/25 $60,100 Cost of Goods Sold $221,463 Common Stock 74,510 Selling Expenses 15,783 Retained Earnings 45,810 Administrative Expenses 37,696...
Greyson Construction has the following account balances at the end of the e year. Accounts Equipment Accounts payable Salaries expense Common stock Land Notes payable Service revenue Balances $24,500...
A. Determine the internal forces at sections C, D1 and D2 2kN/m k 2m C 4m Figure 2 e=0.2m 8kN B D D 2m B. Construct bending moment diagram of the beam shown in figures 15kN 4kN/m B D F E (1) (2)...

A small plane in flight consumes fuel at a rate (in gal/min) given by a. Find a

Question:

if 0 < t < 8 (take-off)| if t> 8 (cruising). 4t 1/3 R'(t)

Step by Step Answer:

a For 0 t 8 we have Rt 4t so Rt 3t43 C but C ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions