Interpretations of the Derivative Homework

University:
Whitman College
Course:
MATH-125 | Calculus I
Academic year:

2022
Views:

448

Pages:

3
Author:

Maverick Martin

4. The Apollo 11 Crew left Earth for the moon on July 16, 1969, at 9:32 a.m. in a Saturn V rocket. They experienced forces of about 1.2g at liftoff and reached a maximum force of about 3.9g. The g-force is measured in Newtons defined as 1N = kg(m/s 2 ). Let F = p(h) represent the force of pressure in Newtons, p on the astronauts at a height h, in meters. Explain what each of the following quantities mean in relation to the astronauts. Give units for the quantities in Newtons. A. p(500) = 3.2 B. p' (500) C. p'(h) = = 0.2 -1 Wh� the roc.ket was 500 meters (ll'.X)Ve 1'he taut"\chpnd, �e -force was 3.� New-tones A� re.a�if':j_ 500 m� high, the. -forte_ on �e crew lS I nCieas,(\9 at o.. re1.te of o.� Newtoris pe.r meter, Toics 1s the nei9ht1 h, in meters> �here_ -lhe rQ-te. of the force of' +he. crew ,s decrec.61� o± o.. nrle of 1 New-rot'\ per meter. 5. A law firm pays a third-party to pick up confidential documents and deliver them to a shredding service. This cost, C, in dollars, is a function of the weight of paper, w, in pounds, that is shredded for each client's case, such that C = f (w). Describe the meaning of each quantity. A. f(65) s. C. = 45 The eost to 5 hrw 4.,5-1 bs (:)-t paper IS $4-S: After s hredd inoj 80- lbs of pa.perj the. mte +o Sr1f'ed rl-lb. oadit,o)'lQ.I paplf is if\Cfet:lSl� a;t $ t .. 3-5 per ptbunc.L [f- c200)]' = 2.5 WneA xou s�d � �o Of' SYlredd.i �, it to.k5 � ..s f bi of pa.per before the cost of rcso) = 1.2s 1 S hreddi09 i ()e£ea5es b � $!.OD 6. When a patient is prescribed an antibiotic to fight off infection, the dose, D, in milligrams is a function of the patient's weight, in pounds. Let D = f(w) define the dosage. Interpret the meaning of each statement. A. 1 c135) = 120 B. ['(135) = 2.5 A pa.t4ef\+ w})o weighs / 35 _I b� n�eds rn i 11 ,·gV"'a.ms of fhe anti b r o+r c . The rare of' antibiotic -fur (A, f)1-J the popula.t1a1 of Eulerville ts 1ncreas,n3 at a ,a+e of 3000 people per year. . . 1 r- c41.5) = s The popu la.non of Eulerv, lie W 11 be. Lf1,500 people nfter c:)OIS. When ine popuJcxhon of E.ulerv i I le ;s Cf-l)'c47_5) = 0_3 47 j()Q people 1t rakes Oo 3 o-P a. year -Fo'r o ulaiion to fr,crease b (COO A. f'(4) e. c. 1 =3

Description

Related Documents

Almost There!

Free up your schedule!

Take 5 seconds to unlock