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College Algebra 11th Edition Michael Sullivan, Michael Sullivan III - Solutions

In Problems 87–96, express y as a function of x. The constant C is a positive number. In y = 3x + In C
In Problems 89–112, solve each equation. log2(3x + 4) = 5
In Problems 87–96, express y as a function of x. The constant C is a positive number. In y = -2x + In C
In Problems 89–112, solve each equation.log5 x = 3
If 2-3x = 1/1000, what does 2x equal?
In Problems 89–112, solve each equation.log3 (3x - 2) = 2
In Problems 87–96, express y as a function of x. The constant C is a positive number. In (y - 3) = 4x + In C -
In Problems 89–112, solve each equation.logx 16 = 2
In Problems 87–96, express y as a function of x. The constant C is a positive number. In (y + 4) 5x + In C
In Problems 89–112, solve each equation. log 100 8, = 3
In Problems 87–96, express y as a function of x. The constant C is a positive number. 3 ln y 1 2 In (2x + 1) 1 -In (x + 4) + In C In 3
In Problems 87–96, express y as a function of x. The constant C is a positive number. 2 ln y 1 In x + ln(x² + 1) + In C 1 3 2
In Problems 89–112, solve each equation.ln ex = 5
In Problems 89–112, solve each equation.ln e-2x = 8
The resident population of the United States in 2018 was 327 million people and was growing at a rate of 0.7% per year. Assuming that this growth rate continues, the model P(t) = 327(1.007) t-2018 represents the population P (in millions of people) in year t.(a) According to this model, when will
In Problems 89–112, solve each equation.log4 64 = x
The population of the world in 2018 was 7.63 billion people and was growing at a rate of 1.1% per year. Assuming that this growth rate continues, the model P(t) = 7.63(1.011) t-2018 represents the population P (in billions of people) in year t.(a) According to this model, when will the population
In Problems 89–112, solve each equation.log5 625 = x
Show that loga 2 (x + √x² − 1) + loga (x - √x² - 1) = 0.
In Problems 89–112, solve each equation.log6 36 = 5x + 3
In Problems 89–112, solve each equation.e3x = 10
Show that loga (√x + √x - 1) + loga (√x - √x - 1) = 0.
In Problems 101–105, solve each equation. Express irrational solutions in exact form. (√3/2)²-x = 2x²
In Problems 89–112, solve each equation. -2x 3
Show that ln (1 + e²x) = 2x + ln(1 + e¯²x).
In Problems 101–105, solve each equation. Express irrational solutions in exact form.log2 x log2x = 4
In Problems 101–105, solve each equation. Express irrational solutions in exact form. ln In x² = (In x)²
In Problems 89–112, solve each equation.e2x+5 = 8
In Problems 89–112, solve each equation.e-2x+1 = 13
Explain why a function must be one-to-one in order to have an inverse that is a function. Use the function y = x2 to support your explanation.
In Problems 89–112, solve each equation. log7 (x² + 4) = 2
In Problems 101–105, solve each equation. Express irrational solutions in exact form. log x= 2log V3
In Problems 89–112, solve each equation. log5 (x² + x + 4) = 2
Problems 107–116 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. If f(x) = 3x²7x, find f(x + h)-f(x).
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Solve: 4x3 + 3x2 - 25x + 6 = 0
In Problems 89–112, solve each equation.log2 8x = -6
Problems 143–152 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Solve:|2x + 17| = 45
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find the average rate of change f(x) = log2 x from 4 to 16.
Problems 143–152 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the real zeros of g(x) = 4x4 - 37x2 + 9. What are the x-intercepts of the graph of g?
In Problems 17–26, analyze each equation. That is, find the center, vertices, and foci of each ellipse and graph it. 25 y 4 1
In Problems 43–54, analyze each equation; that is, find the center, foci, and vertices of each ellipse. Graph each equation. 4x² + 3y² + 8x - 6y = 5
In Problems 43–54, analyze each equation; that is, find the center, foci, and vertices of each ellipse. Graph each equation. x² + 3y² 12y + 9 = 0 -
In Problems 43–54, analyze each equation; that is, find the center, foci, and vertices of each ellipse. Graph each equation. 2x² + 3y² 3y² 8x + 6y + 5 = 0
In Problems 43–54, analyze each equation; that is, find the center, foci, and vertices of each ellipse. Graph each equation. 9x² + 4y² 18x + 16y 11 = 0 -
In Problems 43–54, analyze each equation; that is, find the center, foci, and vertices of each ellipse. Graph each equation. x² +9y² + 6x 18y + 9 = 0
In Problems 43–54, analyze each equation; that is, find the center, foci, and vertices of each ellipse. Graph each equation. 4x² + y² + 4y = 0
In Problems 43–54, analyze each equation; that is, find the center, foci, and vertices of each ellipse. Graph each equation. 9x² + y² - 18x = 0
In Problems 55–64, find an equation for each ellipse. Graph the equation. Foci at (1, 2) and (-3, 2); vertex at (-4, 2)
In Problems 55–64, find an equation for each ellipse. Graph the equation. Center at (2,-2); vertex at (7,-2); focus at (4, -2)
In Problems 55–64, find an equation for each ellipse. Graph the equation. (-3,1); vertex at (-3,3); focus at (-3,0)
In Problems 55–64, find an equation for each ellipse. Graph the equation. Vertices at (4, 3) and (4,9); focus at (4,8)
In Problems 57–64, write an equation for each parabola. -2 У 2 -2 (2, 1)) (1, 0) X
In Problems 57–64, write an equation for each parabola. -2 VA 2 -2 (2, 0) (0, -1) 2 X
In Problems 57–64, write an equation for each parabola. -2 YA 2 -2 (0, 1) (2, 2) L 2 X
In Problems 55–64, find an equation for each ellipse. Graph the equation. Center at (1, 2); focus at (4,2); contains the point (1,3)
In Problems 57–64, write an equation for each parabola. (-2, 0) У 2 (0, 1) -2 2 X
In Problems 57–64, write an equation for each parabola. -2 YA 2 (0, 1) -2 (1, -1) 2 X
In Problems 55–64, find an equation for each ellipse. Graph the equation. Center at (1, 2); focus at (1, 4); contains the point (2, 2)
In Problems 55–64, find an equation for each ellipse. Graph the equation.Vertices at (2, 5) and (2, -1); c = 2
In Problems 55–64, find an equation for each ellipse. Graph the equation. Center at (1, 2); vertex at (1,4); contains the point (1 + √3,3)
In Problems 55–64, find an equation for each ellipse. Graph the equation. Center at (1, 2); vertex at (4,2); contains the point (1,5)
In Problems 57–64, write an equation for each parabola. -2 YA 2 -2 (0, 1) (1, 0) 2 X
Problems 83–89 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the standard form of the equation of a circle with radius V6 and center (-12, 7).
Problems 83–89 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the exact distance between the points (-3,1) and
Problems 83–89 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Solve: x²5x - 2 = 4
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. X For f(x)= x 2 Then find the domain of fo g. and g(x) - x + 5 x - 3' find fog.
A planet orbits a star in an elliptical orbit with the star located at one focus. The perihelion of the planet is 5 million miles. The eccentricity e of a conic section is e = c/a. If the eccentricity of the orbit is 0.75, find the aphelion of the planet.
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the domain of f(x) = √x + 3 + √x – 1.
Problems 107–116 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Use the techniques of shifting, compressing or stretching, and reflections to graph. f(x) = x + 2 + 3.
Problems 83–89 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. For x = 9y2 - 36, list the intercepts and test for symmetry.
Problems 83–89 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Solve: 4x+1 = 8x-1
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Solve: x - √x + 7 = 5 Vx
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Determine whether the function is one-to-one: {(0, -4), (2,-2), (4,0), (6,2)}
The pedals of an elliptical exercise machine travel an elliptical path as the user is exercising. If the stride length (length of the major axis) for one machine is 20 inches and the maximum vertical pedal displacement (length of the minor axis) is 9 inches, find the equation of the pedal path,
In Problems 89–112, solve each equation. 8.10²x-7 = 3
For the ellipse, x2 + 5y2 = 20, let V be the vertex with the smaller x-coordinate and let B be the endpoint on the minor axis with the larger y-coordinate. Find the y-coordinate of the point M that is on the line x + 5 = 0 and is equidistant from V and B.
Problems 83–89 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Given f(x) = ln (x + 3), find the average rate of change off from 1 to 5.
In Problems 89–112, solve each equation.log3 3x = -1
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. If f(x) = X x-2 and g(x) = 5 x + 2' find (f + g) (x).
In Problems 115–118, graph each function. Based on the graph, state the domain and the range, and find any intercepts. f(x) [In(-x) if x < -1 -In (-x) if-1 < x < 0
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Rationalize the numerator: √x + 6-√x 6
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find the distance between the center of the circle And the vertex of the parabola y = -2(x - 6)2 + 9.
In Problems 89–112, solve each equation.5e0.2x = 7
Problems 107–116 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find an equation of a circle with center (-3, 5) and radius 7.
Problems 143–152 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.For f(x) = x³, find f(x) = f(2) x-2
Problems 107–116, are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.If y is inversely proportion to the square of x and y = 2.16 when x = 5, find y when x = 3.
In Problems 89–112, solve each equation.4ex+1 = 5
Problems 107–116 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Solve for D: 2x + 2yD = xD + y
Problems 143–152 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Factor completely: (x + 5) 4.7 (x-3)6+ (x − 3)7-4(x + 5)³ -
Problems 107–116 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find the average rate of change of f(x) = - 3x2 + 2x + 1 from 2 to 4.
Problems 143–152 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find the average rate of change of f(x) = 9x from 1/2 to 1.
Problems 143–152 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Use the Intermediate Value Theorem to show that the function f(x) = 4x3 - 2x2 - 7 has a real zero in
Problems 143–152 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.A complex polynomial function f of degree 4 with real coefficients has the zeros -1, 2, and 3 - i. Find
Problems 143–152 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find an equation of the line that contains the points (0, 1) and (8, -4). Write the equation in general
The formula for the distance d from P1 (x1 , y1) to P2 = (x2 , y2) is d = ________.
A(n)_____ is the collection of all points in a plane that are the same distance from a fixed point as they are from a fixed line. The line through the focus and perpendicular to the________ directrix is called the of the parabola.
Answer Problems 9–12 using the figure. If a > 0, the equation of the parabola is of the form YA F V=(3, 2) D X
For the ellipse the vertices are the points____ and _____ . x² 4 + y 25 1,
Answer Problems 9–12 using the figure.True or False If a = 4, then the equation of the directrix is x = 3. YA F V=(3, 2) D X
In Problems 17–26, analyze each equation. That is, find the center, vertices, and foci of each ellipse and graph it. x kla 2 y 4 = 1

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