Explanation Given: y = x e x and y ' = e x − x e x e 2 x = ( 1 − x ) e x Formula used: d d x ( e x ) = e x d d x ( u v ) = v u ' − u v ' v 2 Calculation: Differentiate the given function with respect to x . y ′ = d d x ( x e x ) We know that d d x ( u v ) = v u ' − u v ' <

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 3, Problem 33SYU

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Whether the given statement is true or false.

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Chapter 3, Problem 32SYU

Chapter 3, Problem 34SYU

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The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given by the following function. R'(x) = 4x (x² +26,000) 2 3 (a) Find the total revenue function if the revenue from 125 devices is $17,939. (b) How many devices must be sold for a revenue of at least $50,000? (a) The total revenue function is R(x) = (Round to the nearest integer as needed.) given that the revenue from 125 devices is $17,939.

Use substitution to find the indefinite integral. S 2u √u-4 -du Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice. A. Substitute u for the quantity in the numerator. Let v = , so that dv = ( ) du. B. Substitute u for the quantity under the root. Let v = u-4, so that dv = (1) du. C. Substitute u for the quantity in the denominator. Let v = Use the substitution to evaluate the integral. so that dv= ' ( du. 2u -du= √√u-4

Use substitution to find the indefinite integral. Зи u-8 du Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice. A. Substitute u for the quantity in the numerator. Let v = , so that dv = ( ( ) du. B. Substitute u for the quantity under the root. Let v = u-8, so that dv = (1) du. C. Substitute u for the quantity in the denominator. Let v = so that dv= ( ) du. Use the substitution to evaluate the integral. S Зи -du= u-8

Chapter 3 Solutions

EBK APPLIED CALCULUS, ENHANCED ETEXT

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To check: Whether the given statement is true or false.

Solution Summary: The author evaluates whether the given statement is true or false.