The blank with the symbol < , > or = in the statement ∑ i = 1 n f ( x i ) Δ x _ _ _ _ _ ∫ 1 5 f ( x ) d x using the figure, where x i is the right endpoint of the i th subinterval. And, also explain the reasoning.

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Answer 1

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Chapter B, Problem 32E

To determine

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval.

And, also explain the reasoning.

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Given lim x-4 f (x) = 1,limx-49 (x) = 10, and lim→-4 h (x) = -7 use the limit properties to find lim→-4 1 [2h (x) — h(x) + 7 f(x)] : - h(x)+7f(x) 3 O DNE

17. Suppose we know that the graph below is the graph of a solution to dy/dt = f(t). (a) How much of the slope field can you sketch from this information? [Hint: Note that the differential equation depends only on t.] (b) What can you say about the solu- tion with y(0) = 2? (For example, can you sketch the graph of this so- lution?) y(0) = 1 y AN

(b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the following limit. lim h→0 - f(x + h) − f(x) h The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule defining f. f(x + h) = (x + h)² - 5(x+ h) = 2xh+h2_ x² + 2xh + h² 5✔ - 5 )x - 5h Step 4 - The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x). - f(x + h) f(x) = = (x² x² + 2xh + h² - ])- = 2x + h² - 5h ])x-5h) - (x² - 5x) = ]) (2x + h - 5) Macbook Pro

Answer 2

Question

Chapter B, Problem 32E

To determine

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval.

And, also explain the reasoning.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter B, Problem 32E

To determine

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval.

And, also explain the reasoning.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter B, Problem 32E

To determine

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval.

And, also explain the reasoning.

Expert Solution & Answer

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See solution

Answer 5

Chapter B, Problem 32E

To determine

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval.

And, also explain the reasoning.

Answer 6

Chapter B, Problem 32E

To determine

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval.

And, also explain the reasoning.

Answer 7

Chapter B, Problem 32E

To determine

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval.

And, also explain the reasoning.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. B - Using Rectangles to Approximate the Area of a...Ch. B - Prob. 2E Ch. B - Prob. 3E Ch. B - Prob. 4E Ch. B - Prob. 5E Ch. B - Prob. 6E Ch. B - Prob. 7E Ch. B - Prob. 8E Ch. B - Comparing Riemann Sums Consider a triangle of area...Ch. B - Comparing Riemann Sums Consider a trapezoid of...

The blank with the symbol < , > or = in the statement ∑ i = 1 n f ( x i ) Δ x _ _ _ _ _ ∫ 1 5 f ( x ) d x using the figure, where x i is the right endpoint of the i th subinterval. And, also explain the reasoning.

Solution Summary: The author explains how to divide the interval left[1,5right] into n subintervals of equal width.

Videos

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval.

And, also explain the reasoning.

Want to see the full answer?

Chapter B Solutions

The blank with the symbol &lt; , &gt; or = in the statement ∑ i = 1 n f ( x i ) Δ x _ _ _ _ _ ∫ 1 5 f ( x ) d x using the figure, where x i is the right endpoint of the i th subinterval. And, also explain the reasoning.

Solution Summary: The author explains how to divide the interval left[1,5right] into n subintervals of equal width.

Videos

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval. And, also explain the reasoning.

Want to see the full answer?

Chapter B Solutions

The blank with the symbol < , > or = in the statement ∑ i = 1 n f ( x i ) Δ x _ _ _ _ _ ∫ 1 5 f ( x ) d x using the figure, where x i is the right endpoint of the i th subinterval. And, also explain the reasoning.

To fill: The blank with the symbol <, > or = in the statement ∑i=1nf(xi)Δx_____∫15f(x)dx using the figure, where xi is the right endpoint of the ith subinterval.

And, also explain the reasoning.