–/5 points 6. LarCalc11 3.7.013. My Notes Ask Your Teacher Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter. Area: 36 square feet ft (smaller value) ft (larger value) –/5 points 7. LarCalc11 3.7.019. My Notes Ask Your Teacher A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must contain 5,000 square meters in order to provide enough grass for the herd. No fencing is needed along the river. What dimensions will require the least amount of fencing? x= m y= m –/5 points 8. LarCalc11 3.7.025. A rectangle is bounded by the x-axis and the semicircle y = My Notes Ask Your Teacher 49 − x2 (see figure). What length and width should the rectangle have so that its area is a maximum? (smaller value) (larger value) –/5 points 9. LarCalc11 3.9.015. My Notes Ask Your Teacher Use the information to find and compare Δy and dy. (Round your answers to four decimal places.) y = x4 + 6 Δy = dy = x = −2 Δx = dx = 0.01 10. LarCalc11 3.9.039. –/5 points My Notes Ask Your Teacher The period of a pendulum is given by the equation shown below, where L is the length of the pendulum in feet, g is the acceleration due to gravity, and T is the time in seconds. T = 2π L g The pendulum has been subjected to an increase in temperature such that the length has increased by 1% (a) Find the approximate percent change in the period. % (b) Using the result in part (a), find the approximate error in this pendulum clock in 1 day. min Submit Assignment Home Save Assignment Progress My Assignments Copyright Request Extension 2020 Cengage Learning, Inc. All Rights Reserved
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