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q | 2.2 | 2.4 | 2.6 | 2.8 | 3 |
---|---|---|---|---|---|
h(q) | 270 | 372 | 513 | 706 | 972 |
Estimate h'(2.6) using the table above.
h'(2.6)≈
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- Find the average rate of change of the function K(x)=cos(X−?/2) from x=0 to x=(5?)/6The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using data obtained by Charles David Keeling, professor at Scripps Institution of Oceanography, the average amount of CO2 in the atmosphere from 1958 through 2010 is approximated by A(t) = 0.012313t2 + 0.7545t + 313.9 (1 ≤ t ≤ 53) where A(t) is measured in parts per million volume (ppmv) and t in years, with t = 1 corresponding to 1958.† Find the average amount of CO2 in the atmosphere from 1958 through 2010. (Round your answer to two decimal places.) ppmvThe analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
- For the situation described below, state the null and alternative hypotheses to be tested. (Enter != for ≠ as needed.) A seed wash is expected to change the proportion p of seeds that germinate when planted in poorly-draining soil. Suppose that the current germination rate is about 70%.The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using data obtained by Charles David Keeling, professor at Scripps Institution of Oceanography, the average amount of CO2 in the atmosphere from 1958 through 2016 is approximated by A(t) = 0.012414t2 + 0.7485t + 313.9 (1 ≤ t ≤ 59) where A(t) is measured in parts per million volume (ppmv) and t in years, with t = 1 corresponding to 1958.† Find the average amount of CO2 in the atmosphere from 1958 through 2016. (Round your answer to two decimal places.) ______ ppmv/yrSolve for the following: A. What is the joint marginal PDF of X and Z? B. Refer to pic
- The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using data obtained by Charles David Keeling, professor at Scripps Institution of Oceanography, the average amount of CO2 in the atmosphere from 1958 through 2016 is approximated by A(t) = 0.012414t2 + 0.7485t + 313.9 (1 ≤ t ≤ 59) where A(t) is measured in parts per million volume (ppmv) and t in years, with t = 1 corresponding to 1958.† Find the average rate of increase of the average amount of CO2 in the atmosphere from 1958 through 2016. (Round your answer to two decimal places.)A stone is tossed in the air from ground level with an initial velocity of 2525 m/sm/s. Its height at time tt is h(t)=25t−4.9t2h(t)=25t−4.9t2 mm. Compute the stone's average velocity over the time interval [0.5,3][0.5,3]. Average velocity = ?15. As x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1 + x) to the 3rd power increasing when x becomes 8 feet?