Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

4th Edition

ISBN: 9780134686974

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Chapter 4.9, Problem 1AYU

Biology A strain of E. coli, Beu 397-recA441, is placed into a nutrient broth at $30^{˚}$ Celsius and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured.

Chapter 4.9, Problem 1AYU, 1. Biology A strain of E. coli, Beu 397-recA441, is placed into
a nutrient broth at 30˚ Celsius

(a) Draw a scatter diagram treating time as the independent variable.

(b) Using a graphing utility, build an exponential model from the data.

(d) Graph the exponential function found in part (b) or (c) on the scatter diagram.

(e) Use the exponential function from part (b) or (c) to predict the population at $x = 7$ hours.

(f) Use the exponential function from part (b) or (c) to predict when the population will reach $0.75$ .

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Chapter 4.8, Problem 36AYU

Chapter 4.9, Problem 2AYU

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The correct answer is D Could you explain and show the steps please

Taylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x) Zero order f(x + 1) = f(x;) First order f(x; + 1) = f(x;) + f'(x;)h 1.0 Second order 0.5 True f(x + 1) = f(x) + f'(x)h + ƒ"(x;) h2 2! f(x+1) 0 x; = 0 x+1 = 1 x h f(x)=0.1x4-0.15x³- 0.5x2 -0.25x + 1.2 51 Taylor Series Approximation H.w: Smaller step size implies smaller error Errors f(x) + f(x,) Zero order f(x,+ 1) = f(x) First order 1.0 0.5 Reduced step size Second order True f(x + 1) = f(x) + f'(x)h f(x; + 1) = f(x) + f'(x)h + "(xi) h2 f(x,+1) O x₁ = 0 x+1=1 Using Taylor Series Expansion estimate f(1.35) with x0 =0.75 with 5 iterations (or & s= 5%) for f(x)=0.1x 0.15x³-0.5x²- 0.25x + 1.2 52

Could you explain this using the formula I attached and polar coorindates

Chapter 4 Solutions

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

Ch. 4.1 - Find f( 3 ) if f( x )=4 x 2 +5x . (pp. 60-62)Ch. 4.1 - Find f(3x) if f(x)=42 x 2 . (pp. 60-62)Ch. 4.1 - Find the domain of the function f(x)= x 2 1 x 2 25...Ch. 4.1 - 4. Given two functions f and g, the ___________,...Ch. 4.1 - True or False If f(x)= x 2 and g(x)= x+9 , then...Ch. 4.1 - 6. If and , which of the following does (fg) (x)...Ch. 4.1 - 7. If H=fg and , which of the following cannot be...Ch. 4.1 - 8. True or False The domain of the composite...Ch. 4.1 - 9. In Problems 9 and 10, evaluate each expression...Ch. 4.1 - In Problems 9 and 10, evaluate each expression...

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Solution Summary: The author explains how to draw a scatter diagram treating time as the independent variable.

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