Path To College Mathematics
1st Edition
ISBN: 9780134654409
Author: Martin-Gay, K. Elayn, 1955-
Publisher: Pearson,
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Chapter D, Problem 21ES
To determine
The unknown length y .
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Use the accompanying Grade Point Averages data to find 80%,85%, and 99%confidence intervals for the mean GPA.
view the Grade Point Averages data.
Gender College GPAFemale Arts and Sciences 3.21Male Engineering 3.87Female Health Science 3.85Male Engineering 3.20Female Nursing 3.40Male Engineering 3.01Female Nursing 3.48Female Nursing 3.26Female Arts and Sciences 3.50Male Engineering 3.00Female Arts and Sciences 3.13Female Nursing 3.34Female Nursing 3.67Female Education 3.45Female Engineering 3.17Female Health Science 3.28Female Nursing 3.25Male Engineering 3.72Female Arts and Sciences 2.68Female Nursing 3.40Female Health Science 3.76Female Arts and Sciences 3.72Female Education 3.44Female Arts and Sciences 3.61Female Education 3.29Female Nursing 3.20Female Education 3.80Female Business 3.26Male…
(3) (20 points) Let F(x, y, z) = (y, z, x²z). Define
E = {(x, y, z) | x² + y² ≤ z ≤ 1, x ≤ 0}.
(a) (2 points) Calculate the divergence V. F.
(b) (4 points) Let D = {(x, y) | x² + y² ≤ 1, x ≤ 0} Without calculation, show that
the triple integral
√ (V · F) dV = √ 2²(1.
= x²(1 − x² - y²) dA.
E
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Chapter D Solutions
Path To College Mathematics
Ch. D - Prob. 1ESCh. D - Prob. 2ESCh. D - Prob. 3ESCh. D - Prob. 4ESCh. D - Prob. 5ESCh. D - Prob. 6ESCh. D - Prob. 7ESCh. D - Prob. 8ESCh. D - Prob. 9ESCh. D - Prob. 10ES
Ch. D - Prob. 11ESCh. D - Prob. 12ESCh. D - Prob. 13ESCh. D - Prob. 14ESCh. D - Prob. 15ESCh. D - Prob. 16ESCh. D - Prob. 17ESCh. D - Prob. 18ESCh. D - Prob. 19ESCh. D - Prob. 20ESCh. D - Prob. 21ESCh. D - Prob. 22ESCh. D - Prob. 23ESCh. D - Prob. 24ESCh. D - Prob. 25ESCh. D - Prob. 26ESCh. D - Prob. 27ESCh. D - Prob. 28ESCh. D - Prob. 29ESCh. D - Prob. 30ESCh. D - Prob. 31ESCh. D - Prob. 32ESCh. D - Prob. 33ESCh. D - Prob. 34ESCh. D - Prob. 35ESCh. D - Prob. 36ESCh. D - Prob. 37ESCh. D - Prob. 38ESCh. D - Prob. 39ESCh. D - Prob. 40ESCh. D - Prob. 41ESCh. D - Prob. 42ESCh. D - Prob. 43ESCh. D - Prob. 44ESCh. D - Prob. 45ESCh. D - Prob. 46ESCh. D - Prob. 47ESCh. D - Prob. 48ES
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- (2) (22 points) Let F(x, y, z) = (x sin y, cos y, ―xy). (a) (2 points) Calculate V. F. (b) (6 points) Given a vector field is everywhere defined with V G₁(x, y, z) = * G2(x, y, z) = − G3(x, y, z) = 0. 0 0 F(x, y, z) = (F₁(x, y, z), F₂(x, y, z), F(x, y, z)) that F = 0, let G = (G1, G2, G3) where F₂(x, y, y, t) dt - √ F³(x, t, 0) dt, * F1(x, y, t) dt, t) dt - √ F Calculate G for the vector field F(x, y, z) = (x sin y, cos y, -xy).arrow_forward5) Solve the triangle. 2 95° 4 B с A) c=3.63, A=59.5°, B = 25.5° C) c = 4.63, A = 59.5°, B = 25.5° A B) c 4.63, A 25.5°, B = 59.5° = = D) c 5.63, A = 25.5°, B = 59.5°arrow_forwardFind zw. Leave your answer in polar form. = လ 3π 2 z = 6 cos 6 cos 37 3π + i sin 2 57 W = 12 cos + i sin 6 6 ༠།ལྦ་arrow_forward
- 10 Write the expression (1 – i) i)in the standard form a + bi.arrow_forward11) The letters r and 0 represent polar coordinates. Write the equation r sine = 10 using rectangular coordinates (x, y). A) x = 10y B) y = 10 C) x = 10 D) y = 10xarrow_forward18) Find all the complex cube roots of - 8i. Leave your answers in polar form with the argument in degrees.arrow_forward
- Write the complex number √3 - i in polar form.arrow_forward2 10) The letters x and y represent rectangular coordinates. Write the equation x² + 4y = 4 using polar coordinates (r, e). A) 4 cos² 0 + sin² 0 = 4r C) r²(4 cos² 0 + sin² 0) = 4 B) cos² 0 + 4 sin² 0 = 4r D) r² (cos20 + 4 sin² 0) = 4arrow_forward2) A radio transmission tower is 130 feet tall. How long should a guy wire be if it is to be attached 6 feet from the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.arrow_forward
- 4) Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. b=6, c=7, B = 80° A) one triangle B=40°, A = 60°, a = 13 C) one triangle C 39°, A 61°, a = 15 = B) one triangle C=41°, A = 59°, a = 17 D) no trianglearrow_forward7) A painter needs to cover a triangular region 63 meters by 67 meters by 74 meters. A can of paint covers 70 square meters. How many cans will be needed?arrow_forward12) Match the graph to one of the equations. 71 5+ 4+ 2. 32 ←IIIIIII -8 -7 -6 -5 -4-3-2-11 1 2 3 4 5 6 7 8 r -2+ -3+ -4+ -5+ -6+ -7⋅ A) r=3+4 sin 0 B) r 4+3 cos C) r=4+3 sin 0 D) r=3+4 cos 0arrow_forward
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