Particular values of the marginal cost function of Kuddly Kites, a company that sells kites shaped like different animals, are shown in the table below, where x is the number of kites produced and C'(x) is in dollars per kite. 160 168 176 184 192 200 208 216 224 232 7 7.25 7.75 8.5 x 152 C'(x) 2.25 2.5 4 4.25 5 5.25 9 Estimate the change in cost (in $) when the number of kites produced increases from 160 to 224 with four subintervals of equal width and one of the following. (a) a right-hand Riemann sum (b) a left-hand Riemann sum

Particular values of the marginal cost function of Kuddly Kites, a company that sells kites shaped like different animals, are shown in the table below, where x is the number of kites produced and C'(x) is in dollars per kite. 160 168 176 184 192 200 208 216 224 232 7 7.25 7.75 8.5 x 152 C'(x) 2.25 2.5 4 4.25 5 5.25 9 Estimate the change in cost (in $) when the number of kites produced increases from 160 to 224 with four subintervals of equal width and one of the following. (a) a right-hand Riemann sum (b) a left-hand Riemann sum

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
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