Explanation Given Information: The function provided is s = t 2 e t . Formula used: According to the property of derivatives, if f ( x ) = c ⋅ u ( x ) , where, c is a constant and u ( x ) is a differentiable function of x , then, f ′ ( x ) = c ⋅ u ′ ( x ) According to the property of derivatives, for a function, y = e u , where, u is a differentiable function of x , d y d x = e u d u d x According to the product rule, for a function of form, y = f ⋅ g , the derivative is d d x ( f ⋅ g ) = g f ′ + f g ′ According to the power rule, if y = x n , then, d y d x = n x n − 1 If y = e x where, u is a differentiable function of x ,

11th Edition

ISBN: 9781305713864

Author: HARSHBARGER

Publisher: CENGAGE L

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Chapter 11.2, Problem 19E

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To calculate: The derivative of function, s=t2et.

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Chapter 11.2, Problem 18E

Chapter 11.2, Problem 20E

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MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function $m$ represent the balance of your savings account after $t$ years. The table shows the total balance of the accounts over time. Year, $t$ Total balance 0 1 2 3 4 5 $2500 $2540 $2580.80 $2622.42 $2664.86 $2708.16 a. Write a function $B$ that represents the total balance after $t$ years. Round values to the nearest hundredth, if necessary. $B\left(t\right)=$ Question 2 b. Find $B\left(8\right)$ . About $ a Question 3 Interpret $B\left(8\right)$ . b represents the total balance checking and saving accounts after 8 years the balance would be 16 / 10000 Word Limit16 words written of 10000 allowed Question 4 c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. A = 11998.70 SINCE 9000 is the principal ( 1+0.036/12)12 times 8 gives me aproxtimately 1997 14 / 10000 Word Limit14 words written of 10000 allowed Skip to…

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Chapter 11 Solutions

MATHEMATICAL APPLICATIONS FOR PKG

Ch. 11.1 - 1. Ch. 11.1 - 2. If Ch. 11.1 - Prob. 3CP Ch. 11.1 - 4. Find . Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Find the derivatives of the functions in Problems...

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The derivative of function, s = t 2 e t .

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To calculate: The derivative of function, s=t2et.

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Chapter 11 Solutions