Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Chapter B, Problem 19E
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(10 points) Let f(x, y, z) = ze²²+y². Let
E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}.
Calculate the integral
y,
f(x, y, z) dV.
(14 points) Let f: R3 R and T: R3.
→R³ be defined by
f(x, y, z) = ln(x²+ y²+2²),
T(p, 0,4)=(psin cos 0, psin sin, pcos).
(a) (4 points) Write out the composition g(p, 0, 4) = (foT)(p,, ) explicitly. Then calculate the
gradient Vg directly, i.e. without using the chain rule.
(b) (4 points) Calculate the gradient Vf(x, y, z) where (x, y, z) = T(p, 0,4).
(c) (6 points) Calculate the derivative matrix DT(p, 0, p). Then use the Chain Rule to calculate
Vg(r,0,4).
(10 points) Let S be the upper hemisphere of the unit sphere x² + y²+2² = 1. Let F(x, y, z) =
(x, y, z). Calculate the surface integral
J F
F-dS.
S
Chapter B Solutions
Prealgebra (6th Edition)
Ch. B - Fill in the blanks. 1mi=ftCh. B - Fill in the blanks. 1ft=in.Ch. B - Prob. 3ECh. B - Fill in the blanks. 1qt=galCh. B - Prob. 5ECh. B - Prob. 6ECh. B - Fill in the blanks. 60sec=minCh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Fill in the blanks. 2gal=qtCh. B - Prob. 12ECh. B - Prob. 13ECh. B - Fill in the blanks. 9ft=ydCh. B - Fill in the blanks. 2mi=ftCh. B - Prob. 16ECh. B - Fill in the blanks. 120sec=minCh. B - Prob. 18ECh. B - Prob. 19ECh. B - Fill in the blanks. 4pt=qtCh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Perform the operation indicated. 5ft4in.+4ft3in.Ch. B - Prob. 26ECh. B - Perform the operation indicated. 12ft7in.+3ft8in.Ch. B - Prob. 28ECh. B - Perform the operation indicated. 26yd1ft9yd2ftCh. B - Perform the operation indicated. 14yd6ft6yd2ftCh. B - While golfing, Todd made birdie putts of 4 ft 3...Ch. B - Jessica worked out at the health spa for 2 hr 20...Ch. B - Natalie bought a 1-pint can of tomato sauce. She...Ch. B - Joel has 1 quart of milk. If he uses 1 pint to...Ch. B - It takes Isaac 2 hours to detail a car. Sean can...Ch. B - A 3-pound can of Joes Chili costs the same price...Ch. B - Write the abbreviation for each metric unit....Ch. B - Prob. 38ECh. B - Write the abbreviation for each metric unit....Ch. B - Prob. 40ECh. B - Write the abbreviation for each metric unit....Ch. B - Prob. 42ECh. B - Prob. 43ECh. B - Place the appropriate symbol, or, in the blanks....Ch. B - Prob. 45ECh. B - Place the appropriate symbol, or, in the blanks....Ch. B - Prob. 47ECh. B - Place the appropriate symbol, or, in the blanks....Ch. B - Which of the following represents a unit that is...Ch. B - Which of the following represents a unit that is...Ch. B - Which of the following represents a unit that is...Ch. B - Which of the following represents a unit that is...Ch. B - Place the appropriate symbol, or, in the blanks....Ch. B - Place the appropriate symbol, or, in the blanks....Ch. B - Prob. 55ECh. B - Place the appropriate symbol, or, in the blanks....Ch. B - Place the appropriate symbol, or, in the blanks....Ch. B - Prob. 58ECh. B - Fill in the blanks. The _______ is the basic...Ch. B - Prob. 60ECh. B - Prob. 61ECh. B - Fill in the blanks. The gram is the basic metric...Ch. B - Prob. 63ECh. B - Lisa measured the width of a doorway. Choose the...Ch. B - Choose the unit of measure that best completes the...Ch. B - Choose the unit of measure that best completes the...Ch. B - Use the figure to the right for exercises 67 and...Ch. B - Use the figure to the right for exercises 67 and...Ch. B - Use the following information to answer exercises...Ch. B - Use the following information to answer exercises...
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- Suppose you are gambling on a roulette wheel. Each time the wheel is spun, the result is one of the outcomes 0, 1, and so on through 36. Of these outcomes, 18 are red, 18 are black, and 1 is green. On each spin you bet $5 that a red outcome will occur and $1 that the green outcome will occur. If red occurs, you win a net $4. (You win $10 from red and nothing from green.) If green occurs, you win a net $24. (You win $30 from green and nothing from red.) If black occurs, you lose everything you bet for a loss of $6. a. Use simulation to generate 1,000 plays from this strategy. Each play should indicate the net amount won or lost. Then, based on these outcomes, calculate a 95% confidence interval for the total net amount won or lost from 1,000 plays of the game. (Round your answers to two decimal places and if your answer is negative value, enter "minus" sign.) Lower Limit Upper Limitarrow_forward(8 points) Calculate the following line integrals. (a) (4 points) F Fds where F(x, y, z) = (x, y, xy) and c(t) = (cost, sint, t), tЄ [0,π] . (b) (4 points) F. Fds where F(x, y, z) = (√xy, e³, xz) where c(t) = (t², t², t), t = [0, 1] .arrow_forwardreview help please and thank you!arrow_forward
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