section 2.4 hw

Current Score : 20 / 22 Due : Sunday, February 9 2014 11:59 PM EST

1. 0/1 points | Previous Answers SCalcET7 2.4.001.

Use the given graph of f to find a number δ such that

if

δ = .3

Section 2.4 HW (Homework)Frances CoronelMAT 151 Calculus I, Spring 2014, section 01, Spring 2014Instructor: Ira Walker

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|x − 1| < δ then |f(x) − 1| < 0.2

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Use the given graph of f to find a number δ such that

if

δ = .4


Use the given graph of to find a number δ such that

δ = 1.44

0 < |x − 3| < δ then |f(x) − 2| < 0.5.

f(x) = x

if |x − 4| < δ then − 2 < 0.4.x




Use the given graph of to find a number δ such that

(Round your answer down to three decimal places.)

δ = 24/25

Enhanced Feedback

Please try again. For finding δ such that implies start by finding the

solutions to Choose δ so that neither of these solutions are at a distance smaller than δof


Use a graph to find a number δ such that

if then

δ = .0146018366

f(x) = x2

if |x − 1| < δ then |x2 − 1| < .12

|x − a| < δ |x2 − a2| < b,

|x2 − a2| = b.a.

x − < δπ4

|tan x − 1| < 0.2.




A graphing calculator is recommended.

For the limit

illustrate the definition by finding the largest possible values of δ that correspond to ε = 0.2 and ε = 0.1.(Round your answers to four decimal places.)

ε = 0.2 δ = .0219

ε = 0.1 δ = .011



For the limit

illustrate the definition by finding the largest possible values of δ that correspond to ε = 0.4 and ε = 0.2.(Round your answers to three decimal places.)

ε = 0.4 δ = .1771

ε = 0.2 δ = .0938429

(x3 − 3x + 8) = 10lim x → 2

= 2lim x → 0

e2x − 1x

http://www.webassign.net/scalcet7/2-4-def-02.gif






Given that illustrate the definition by finding values of δ that correspond to the

following. (Round your answer down to four decimal places.)

(a) M = 500

δ = .0447

(b) M = 1,000

δ = .0316163268



A crystal growth furnace is used in research to determine how best to manufacture crystals used inelectric components for the space shuttle. For proper growth of the crystal, the temperature must becontrolled accurately by adjusting the input power. Suppose the relationship is given by

T(w) = 0.1w2 + 2.157w + 20where T is the temperature in degrees Celsius and w is the power input in watts.

(a) How much power is needed to maintain the temperature at 204°C? (Round your answer totwo decimal places.) 33.4453 watts

(b) If the temperature is allowed to vary from 204°C by up to ±1°C, what range of wattage isallowed for the input power? (Round your answers to two decimal places.)

33.3321 watts < w < 33.5582 watts

(c) In terms of the ε, δ definition of what is x?

tan2 x = ∞,lim x→π/2

f(x) = L,lim x→ a



What is f(x)?

What is a?

What is L?

input power

temperature

tolerance in the temperature

target input power

target temperature

input power

temperature


target input power

target temperature

input power

temperature


target input power

target temperature

input power

temperature


target input power

target temperature

What value of ε is given? 1 °C

What is the corresponding value of δ? (Round your answer to two decimal places.) .1129 watts

10.2/2 points | Previous Answers SCalcET7 2.4.013.

Find a number δ such that if |x − 1| < δ, then |4x − 4| < ε, where ε = 1.

δ ≤ .25

Repeat and determine δ with ε = 0.1.

δ ≤ .025



section 2.4 hw

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