For Exercises 71–74, use a graphing calculator to graph the circles on an appropriate square viewing window. 72. x + y = 49 71. x + y 73. (x – 18)? + (y + 20)? = 80 36 74. (x + 0.04)? + (y – 0.02)? = 0.01
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![For Exercises 71–74, use a graphing calculator to graph the circles on an appropriate square viewing window.
72. x + y = 49
71. x + y
73. (x – 18)? + (y + 20)? = 80
36
74. (x + 0.04)? + (y – 0.02)? = 0.01](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb58eb259-fc1a-491e-b8fc-908fc8e4dd3a%2Feeef5867-cc82-4ac9-be90-c433392e8806%2Fajdmwr_processed.jpeg&w=3840&q=75)
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- America is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?The average amount A (in pounds per person) of fish and shellfish consumed in the UnitedStates during the period 1992–2001 can be modeled by A = (3.2x + 260)/(52x + 3800) where x is the number of years since 1992.Rewrite the model so that it has only whole number coefficients. Then simplify the model.For Exercises 33–38, find the exact value of each expression without the use of a calculator. (See Example 5)
- Exercises 19–32, find the (a) domain and (b) range.Solve the variation problems in Exercises 68–73. 68. A company's profit varies directly as the number of products it sells. The company makes a profit of $1175 on the sale of 25 products. What is the company's profit when it sells 105 products? 69. The distance that a body falls from rest varies directly as the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds? 70. The pitch of a musical tone varies inversely as its wavelength. A tone has a pitch of 660 vibrations per second and a wavelength of 1.6 feet. What is the pitch of a tone that has a wavelength of 2.4 feet? 71. The loudness of a stereo speaker, measured in decibels, varies inversely as the square of your distance from the speaker. When you are 8 feet from the speaker, the loudness is 28 decibels. What is the loudness when you are 4 feet from the speaker? 72. The time required to assemble computers varies directly as the number of computers assembled and inversely as…6. (a). State the Stokes' Theorem. (b). Use the Stokes' Theorem as stated in (a) to evaluate the line integral: F- dř F = xyi+ 2yz j+ xz k where: and C is the boundary of the plane z = 1- y as shown in Figure 1. Assume C is oriented anti-clockwise as viewed from above.