(A) Explanation Calculation: The area under the graph f ( x ) = 1 x 5 4 from x = 1 to x = b is given by the integral ∫ 1 b x − 5 4 d x . Obtain the value of the integral ∫ 1 b x − 5 4 d x as follows. ∫ 1 b x − 5 4 d x = [ x − 5 4 + 1 − 5 4 + 1 ] 1 b = [ x − 1 4 ( − 1 4 ) (B) To determine To find: The area under the graph g ( x ) = 1 x 4 5 from x = 1 to x = b , b > 1 and discuss the behavior of the area as b assume larger values.

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Chapter 11.1, Problem 1ED

(A)

To determine

To find: The area under the graph f(x)=1x54 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

(B)

To determine

To find: The area under the graph g(x)=1x45 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

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Chapter 11.1, Problem 6MP

Chapter 11.1, Problem 2ED

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Consider the following equation and figure. a = 50 a A ≈ a a y = f(x) 2a x (a) By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area A under the given graph of f from x = 0 to x = 100. A X (lower estimate) (upper estimate) (b) Find new estimates using ten rectangles in each case. A ≈ (lower estimate) A (upper estimate)

continuing off of that question: 4. In the next two parts of the question, you will calculate the approximate area under the curve using the right end-points of the sub-intervals. Complete the following table (for the second column, you should only have to do one calculation from scratch, since you have already calculated three of the numbers earlier in the question). x1 : f (x1) : x2 : f (x2) : x3 : f (x3) : x4 : f (x4) : 5. Now calculate the approximate area under the curve using the formula Approximate area under curve : 6.In the next two parts of the question, you will calculate the approximate area under the curve using the mid-points of the sub-intervals. Complete the following table x1 : f (x1) : x2 : f (x2) : x3 : f (x3) : x4 : f (x4) : 7.Now calculate the approximate area under the curve using the formula Approximate area under curve :

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Chapter 11 Solutions

EP CALCULUS FOR BUSINESS..-MYLAB ACCESS

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

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The area under the graph f ( x ) = 1 x 5 4 from x = 1 to x = b , b > 1 and discuss the behavior of the area as b assume larger values.

Solution Summary: The author explains how to find the area under the graph f(x)=1.

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To find: The area under the graph f(x)=1x54 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

To find: The area under the graph g(x)=1x45 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

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Chapter 11 Solutions

The area under the graph f ( x ) = 1 x 5 4 from x = 1 to x = b , b &gt; 1 and discuss the behavior of the area as b assume larger values.

Solution Summary: The author explains how to find the area under the graph f(x)=1.

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To find: The area under the graph f(x)=1x54 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

To find: The area under the graph g(x)=1x45 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

Want to see the full answer?

Chapter 11 Solutions

The area under the graph f ( x ) = 1 x 5 4 from x = 1 to x = b , b > 1 and discuss the behavior of the area as b assume larger values.