Elementary Algebra 17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: Lynn Marecek, MaryAnne Anthony-Smith
1 Foundations 2 Solving Linear Equations And Inequalities 3 Math Models 4 Graphs 5 Systems Of Linear Equations 6 Polynomials 7 Factoring 8 Rational Expressions And Equations 9 Roots And Radicals 10 Quadratic Equations Chapter8: Rational Expressions And Equations
8.1 Simplify Rational Expressions 8.2 Multiply And Divide Rational Expressions 8.3 Add And Subtract Rational Expressions With A Common Denominator 8.4 Add And Subtract Rational Expressions With Unlike Denominators 8.5 Simplify Complex Rational Expressions 8.6 Solve Rational Equations 8.7 Solve Proportion And Similar Figure Applications 8.8 Solve Uniform Motion And Work Applications 8.9 Use Direct And Inverse Variation Chapter Questions Section8.9: Use Direct And Inverse Variation
Problem 8.171TI: If y varies directly as x and y=3 , when x=10 , find the equation that relates x and y. Problem 8.172TI: If y varies directly as x and y=12 when x=4 find the equation that relates x and y. Problem 8.173TI: The number of calories, c, burned varies directly with the amount of time, t, spent exercising.... Problem 8.174TI: The distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100... Problem 8.175TI: The distance that Brad travels varies directly with the time spent traveling. Brad travelled 660... Problem 8.176TI: The weight of a liquid varies directly as its volume. A liquid that weighs 24 pounds has a volume of... Problem 8.177TI: The distance an object falls is directly proportional to the square of the time it falls. A ball... Problem 8.178TI: The area of a circle varies directly as the square of the radius. A circular pizza with a radius of... Problem 8.179TI: If p varies inversely with q and p=30 when q=12 find the equation that relates p and q. Problem 8.180TI: If y varies inversely with x and y=8 when x=2 find the equation that relates x and y. Problem 8.181TI: A car’s value varies inversely with its age. Elena bought a two-year-old car for $20,000. a. Write... Problem 8.182TI: The time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to... Problem 8.183TI: The number of hours it takes for ice to melt varies inversely with the air temperature. Suppose a... Problem 8.184TI: The force needed to break a board varies inversely with its length. Richard uses 24 pounds of... Problem 463E: In the following exercises, solve. 463. If y varies directly as x and y=14 , when x=3 , find the... Problem 464E: In the following exercises, solve. 464. If p varies directly as q and p=5 , when q=2 , find the... Problem 465E: In the following exercises, solve. 465. If v varies directly as w and v = 24, when w = 8, find the... Problem 466E: In the following exercises, solve. 466. If a varies directly as b and a=16 , when b=4 , find the... Problem 467E: In the following exercises, solve. 467. If p varies directly as q and p=9.6 , when q=3 , find the... Problem 468E: In the following exercises, solve. 468. If y varies directly as x and y=12.4 , when x=4 , find the... Problem 469E: In the following exercises, solve. 469. If a varies directly as b and a=6 , when b=13 , find the... Problem 470E: In the following exercises, solve. 470. If V varies directly as w and v=8 , when w=12 , find the... Problem 471E: In the following exercises, solve. 471. The amount of money Sally earns, P, varies directly with the... Problem 472E: In the following exercises, solve. 472. The price, P, that Eric pays for gas varies directly with... Problem 473E: In the following exercises, solve. 473. Terri needs to make some pies for a fundraiser. The number... Problem 474E: In the following exercises, solve. 474. Joseph is traveling on a road trip. The distance, d, he... Problem 475E: In the following exercises, solve. 475. The price of gas that Jesse purchased varies directly to how... Problem 476E: In the following exercises, solve. 476. The distance that Sarah travels varies directly to how long... Problem 477E: In the following exercises, solve. 477. The mass of a liquid varies directly with its volume. A... Problem 478E: In the following exercises, solve. 478. The length that a spring stretches varies directly with a... Problem 479E: In the following exercises, solve. 479. The distance an object falls varies directly to the square... Problem 480E: In the following exercises, solve. 480. The maximum load a beam will support varies directly with... Problem 481E: In the following exercises, solve. 481. The area of a circle varies directly as the square of the... Problem 482E: In the following exercises, solve. 482. The distance an object falls varies directly to the square... Problem 483E: In the following exercises, solve. 483. If v varies inversely with x and y=5when x=4 find the... Problem 484E: In the following exercises, solve. 484. If p varies inversely with q and p=2 when q=1 find the... Problem 485E: In the following exercises, solve. 485. If v varies inversely with w and v=6 when w=12 find the... Problem 486E: In the following exercises, solve. 486. If a varies inversely with b and a=12 when b=13 find the... Problem 487E: Write an inverse variation equation to solve the following problems. 487. The fuel consumption (mpg)... Problem 488E: Write an inverse variation equation to solve the following problems. 488. A car’s value varies... Problem 489E: Write an inverse variation equation to solve the following problems. 489. The time required to empty... Problem 490E: Write an inverse variation equation to solve the following problems. 490. The volume of a gas in a... Problem 491E: Write an inverse variation equation to solve the following problems. 491. On a string instrument,... Problem 492E: Write an inverse variation equation to solve the following problems. 492. Paul, a dentist,... Problem 493E: Write an inverse variation equation to solve the following problems. 493. The number of tickets for... Problem 494E: Write an inverse variation equation to solve the following problems. 494. Boyle’s Law states that if... Problem 495E: If y varies directly as x and y=5, when x=3 ., find the equation that relates x and y. Problem 496E: If v varies directly as w and v=21 , when w=8 . find the equation that relates v and w. Problem 497E: If p vanes inversely with q and p=5when q=6 , find the equation that relates p and q. Problem 498E: If y varies inversely with x and y=11 when x=3 find the equation that relates x and y. Problem 499E: If p varies directly as q and p=10 , when q=2 . find the equation that relates p and q. Problem 500E: If v varies inversely with w and v=18 when w=13 find the equation that relates v and w. Problem 501E: The force needed to break a board varies inversely with its length. If Tom uses 20 pounds of... Problem 502E: The number of hours it takes for ice to melt varies inversely with the air temperature. A block of... Problem 503E: The length a spring stretches varies directly with a weight placed at the end of the spring. When... Problem 504E: The amount that June gets paid varies directly the number of hours she works. When she worked 15... Problem 505E: The fuel consumption (mpg) of a car varies inversely with its weight. A Ford Focus weighs 3000... Problem 506E: The volume of a gas in a container varies inversely as the pressure on the gas. If a container of... Problem 507E: The distance an object falls varies directly to the square of the time it falls. If an object falls... Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of... Problem 509E: Ride Service It costs $35 for a ride from the city center to the airport, 14 miles away. a. Write... Problem 510E: Road Trip The number of hours it takes Jack to drive from Boston to Bangor is inversely proportional... Problem 511E: In your own words, explain the difference between direct variation and inverse variation. Problem 512E: Make up an example from your life experience of inverse variation. Problem 8.180TI: If y varies inversely with x and y=8 when x=2 find the equation that relates x and y.
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Concept explainers
Flux across curves in a vector field Consider the vector fieldF = ⟨y, x ⟩ shown in the figure.a . Compute the outward flux across the quarter-circleC : r (t ) = ⟨2 cos t , 2 sin t ⟩ , for 0 ≤ t ≤ π /2.b . Compute the outward flux across the quarter-circleC : r (t ) = ⟨2 cos t , 2 sin t ⟩ , for π /2 ≤ t ≤ π .c . Explain why the flux across the quarter-circle in the third quadrant equals the flux computed in part (a). d . Explain why the flux across the quarter-circle in the fourth quadrant equals the flux computed in part (b).e . What is the outward flux across the full circle?
Transcribed Image Text: y
F = (y, x)
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Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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