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study help
mathematics
precalculus
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry 5th Edition Michael Sullivan - Solutions
Problems 105 – 113. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.If $2500 is invested at 3% compounded monthly, find the amount that results after a period of 2
You are interviewing for a job and receive two offers for a five-year contract:A: $40,000 to start, with guaranteed annual increases of 6% for the first 5 yearsB: $44,000 to start, with guaranteed annual increases of 3% for the first 5 years. Which offer is better if your goal is to be making as
Problems 105 – 113. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Write the complex number − 1 − i in polar form. Express the argument in degrees.
Problems 105 – 113. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.For v = 2i − j and w = i + 2j, find the dot product v · w.
Problems 105 – 113. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find an equation of the parabola with vertex (−3, 4) and focus (1, 4).
Problems 105 – 113. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.In a triangle, angle B is 4 degrees less than twice the measure of angle A, and angle C is 11
Problems 105 – 11. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.If f (x) = 5x2 − 2x + 9 and f (a + 1) = 16, find the possible values for a.
Problems 105 – 113. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.In calculus, the critical numbers for a function are numbers in the domain of f where f'(x) = 0 or
Problems 113–122. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Use the Change-of-Base Formula and a calculator to evaluate log7 62. Round the answer to three
Problems 113–122. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the unit vector in the same direction as v = 8i − 15j.
Problems 113–122. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the equation of the hyperbola with vertices at (−2, 0) and (2, 0), and a focus at (4, 0).
Problems 113–122. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the value of the determinant: 3 0 4 0 1 -2 6 -1 -2
In Problems 69–82, determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. If the sequence is arithmetic or geometric, find the sum of the first 50 terms.{n + 2}
In Problems 49–58, expand each sum. n k=1 (2k + 1)
In Problems 39–56, find each sum. 80 Σ(4n – 9) n=1
Find the coefficient of x4 in - - +. 0₁ (₂x − 1 ) +₁ + z(₂x − 1) + (₂x − 1) = (x)ƒ - OT
In Problems 49–58, expand each sum. k=1 k² 2 2
In Problems 39–56, find each sum. 90 Σ(3 – 2n) n=1
In the expansion offind the coefficient of the term containing a5b4c2. [a + (b + c)²],
In Problems 49–58, expand each sum. n k=1 (k + 1)2
In Problems 39–56, find each sum. 100 1 Σ(6-7η) n=1
Problems 53–62. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Solve the system of equations: x y 2x + y + 4x + 2y - z = 0 3z = -1 z = 12
In Problems 49–58, expand each sum. n k=0 1 3k
In Problems 53–68, determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 2+ + ∞010 +=+
In Problems 39–56, find each sum. 80 1 Σ(n + 3)
Problems 53–62. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.56. Graph the system of inequalities. Tell whether the graph is bounded or unbounded, and label the
In Problems 53–68, determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 2-13/1/201 + 8 1 32 +
Problems 53–62. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Solve 6x = 5x+1. Express the answer both in exact form and as a decimal rounded to three decimal places.
Problems 53–62. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the vertical asymptotes, if any, of the graph of f(x) = 3x² (x − 3)(x + 1)
In Problems 53–68, determine whether each infinite geometric series converges or diverges. If it converges, find its sum. ∞0 k=1 5 (1) ²-1
Problems 53–62. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. (x³ + 1) · ½x−²/3 — x¹/³ (3x²) (x³ + 1)² 3 2 Simplify:-
For v = 2i + 3j and w = 3i − 2j:(a) Find the dot product v · w.(b) Find the angle between v and w.(c) Are the vectors parallel, orthogonal, or neither?
In Problems 59–68, express each sum using summation notation. ਭੈ 3 + 13 13+1
In Problems 59–68, express each sum using summation notation. 11 3 3 - 1 + 12/17 - -- + (-¹) ²2 ( ²3 ) " (−1) 3/
In Problems 53–68, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.8 + 4 + 2 + . . .
In Problems 59–68, express each sum using summation notation. 1+ 3 + 5 + 7 + + [2(12) - 1]
Problems 53–62. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Iffind f (−2). What is the corresponding point on the graph of f? f(x) = x² + 1 2x + 5'
In Problems 59–68, express each sum using summation notation. (뜬),(-) -... --+-1
Problems 53–62. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.If y = 5/3 x3 + 2x + C and y = 5 when x = 3, find the value of C.
In Problems 69–80, find the sum of each sequence. 40 Σ5 k=1
In Problems 53–68, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.8 + 12 + 18 + 27 + . . .
In Problems 59–68, express each sum using summation notation. 3+2 + +.
Problems 53–62. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Establish the identity sin2θ + sin2θ tan2θ = tan2θ.
In Problems 53–68, determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 은아름 3/ k=1 k-1
In Problems 59–68, express each sum using summation notation.1 + 2 + 3 + . . . + 20
In Problems 59–68, express each sum using summation notation.13 + 23 + 33 + . . . + 83
Old Faithful is a geyser in Yellowstone National Park named for its regular eruption pattern. Past data indicates that the average time between eruptions is 1h 35m.(a) Suppose rangers log the first eruption on a given day at 12:57 am. Using a1 = 57, write a prediction formula for the sequence of
For Problems 47 – 52, use a graphing utility to find the sum of each geometric sequence. 15 n=1 n
Find the value of 2 + (5)(-4)³ + ({))*(³) · +(34)*()' + (4G)* + (0) (³3)² 5 5 5
In Problems 49–58, expand each sum. n + 2) k=1
In Problems 39–56, find each sum. 8 +81 +81 +8² + 4 8+8+9+ +50
The entries in the Pascal Triangle can, for n ≥ 2, be used to determine the number of k-sided figures that can be formed using a set of n points on a circle. In general, the first entry in a row indicates the number of n-sided figures that can be formed, the second entry indicates the number of
In Problems 41 – 46, find each sum. Η 24.31-1 k=1
Problems 37–45. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the exact value of 0 tan- if cos 5100 and sin > 0.
In Problems 41 – 46, find each sum. n k=1 ald 3/ k
Problems 37–45. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.If f'(x) = (x2 − 2x + 1)(3x2) + (x3 − 1)(2x − 2), find all real numbers x for which f'(x) = 0.
In Problems 35–48, a sequence is defined recursively. List the first five terms.a1 = 1; a2 = 2; an = an−1 · an−2
Problems 37–45. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Solve: e3x−7 = 4
Problems 113–122. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Liv notices a blue jay in a tree. Initially she must look up 5 degrees from eye level to see the jay,
In Problems 43–50, use properties of determinants to find the value of each determinant if it is known that х у u V 1 2 Z W 3 4
In Problems 43 – 52, graph each system of linear inequalities. State whether the graph is bounded or unbounded, and label the corner points. x *> 0 0 y > x + y 2 2 2x + 3y ≤ 12 3x + y ≤ 12
In Problems 17–50, find the partial fraction decomposition of each rational expression. 4 2x²5x 3 –
In Problems 19–56, solve each system of equations. If the system has no solution, state that it is inconsistent. For Problems 19–30, graph the lines of the system. x- y-z=1 2x+3y + z = 2 3x + 2y = 0
In Problems 25 – 54, solve each system. Use any method you wish. Х x² - 3xy + 2у2 = 0 x2 + xy = 6
In Problems 25 – 54, solve each system. Use any method you wish. x² - xy - 2y² = 0 xy + x + 6 = 0
In Problems 43–50, use properties of determinants to find the value of each determinant if it is known that х у u V 1 2 Z W 3 4
In Problems 45–64, use the inverses found in Problems 35–44 to solve each system of equations. 2x + y = 0 x + y = 5
In Problems 17–50, find the partial fraction decomposition of each rational expression. 4x 2x² + 3x - 2 2
In Problems 19–56, solve each system of equations. If the system has no solution, state that it is inconsistent. For Problems 19–30, graph the lines of the system. 2x-3y - z = 0 - -x+2y + 2 = 5 3x-4y - z = 1 =
In Problems 39–74, solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. 2x - y = -1 x + 1/2y = 3/2
In Problems 43 – 52, graph each system of linear inequalities. State whether the graph is bounded or unbounded, and label the corner points. *> 0 yΣ 0 x + y> 1 x + y < 7 2x + y < 10
Maximize z = 10x + 4y subject to the constraints x ≥ 0, y ≥ 0, 4x − y ≥ −9, x − 2y ≥ −25, x + 2y ≥ 31, x + y ≥ 19, 4x + y ≥ 43, 5x − y ≥ 38, x − 2y ≥ 4
In Problems 45–64, use the inverses found in Problems 35–44 to solve each system of equations. 3x - y = 4 -2x+y= 5
In Problems 19–56, solve each system of equations. If the system has no solution, state that it is inconsistent. For Problems 19–30, graph the lines of the system. х- у- у-2= = 1 -x + 2y - 3z = -4 3x-2y - 7z = 0
In Problems 39–74, solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x - y = 2x - 3z = 6 16 2y+z= 4
In Problems 43–50, use properties of determinants to find the value of each determinant if it is known that х у u V 1 2 Z W 3 4
In Problems 45–64, use the inverses found in Problems 35–44 to solve each system of equations. 6x + 5y = 7 2x + 2y = 2
In Problems 25 – 54, solve each system. Use any method you wish. y² + y + x² - x - 2 = 0 x-2 y + 1 + y = 0
In Problems 39–74, solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. 2x + y = -2y + 4z = 3x - 2z 2z -4 0 = -11
In Problems 17–50, find the partial fraction decomposition of each rational expression. 2x + 3 x4 - 9x² 2
In Problems 45–64, use the inverses found in Problems 35–44 to solve each system of equations. -4x + y = 0 6x-2y = 14
In Problem 51–58, use the division algorithm to rewrite each improper rational expression as the sum of a polynomial and a proper rational expression. Find the partial fraction decomposition of the proper rational expression. Finally, express the improper rational expression as the sum of a
In Problems 17–50, find the partial fraction decomposition of each rational expression. 2 x² +9 x4 - 2x² 8
In Problems 19–56, solve each system of equations. If the system has no solution, state that it is inconsistent. For Problems 19–30, graph the lines of the system. 2x - 3y z = 0 - 3x + 2y + 2z = 2 x + 5y + 3z = 2
In Problems 19–56, solve each system of equations. If the system has no solution, state that it is inconsistent. For Problems 19–30, graph the lines of the system. 2x-2y + 3z = 6 4x-3y + 2z =0 -2x+3y - 72 = 1 =
In Problems 45–64, use the inverses found in Problems 35–44 to solve each system of equations. 6x + 5y = = 2x + 2y = = 13 5
In Problems 39–74, solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x - 4y + 2z =-9 3x + y + 2 = у+ -2x + 3y - 3z = 4 7
In Problems 45–64, use the inverses found in Problems 35–44 to solve each system of equations. -4x + y = 5 6x - 2y =-9
In Problems 39–74, solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. 2x + y - 3z = 0 -2x+2y +z=-1 -7 3x-4y-3z = 7
In Problems 39–74, solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. 2x - 2y 2z = 2 2x + 3y + z = 2 3x + 2y = 0
In Problems 19–56, solve each system of equations. If the system has no solution, state that it is inconsistent. For Problems 19–30, graph the lines of the system. x+y - 2= 6 z = -5 3x-2y + x + 3y - 2z = 14 3у -
In Problem 51–58, use the division algorithm to rewrite each improper rational expression as the sum of a polynomial and a proper rational expression. Find the partial fraction decomposition of the proper rational expression. Finally, express the improper rational expression as the sum of a
In Problems 19–56, solve each system of equations. If the system has no solution, state that it is inconsistent. For Problems 19–30, graph the lines of the system. 3x-2y 7x-3y + 2z = -1 2x-3y + 4z =0 + 2z = 6 =
In Problems 45–64, use the inverses found in Problems 35–44 to solve each system of equations. 2x + y = ax + ay = -3 -a a = 0
In Problems 19–56, solve each system of equations. If the system has no solution, state that it is inconsistent. For Problems 19–30, graph the lines of the system. x = y + z = -4 - 2x - 3y + 4z = -15 5x + y2z = 12
In Problems 39–74, solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -x + y + z = -1 -x + 2y3z = -4 3x - 2y 7z = 0 -
In Problems 19–56, solve each system of equations. If the system has no solution, state that it is inconsistent. For Problems 19–30, graph the lines of the system. x + 2y z = -3 2x - 4y + z = -7 -2x + 2y3z = 4
In Problems 39–74, solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. 0 2x-3y-z = -x+2y + z = 5 3x-4y = 2=1 1 - z
In Problems 45–64, use the inverses found in Problems 35–44 to solve each system of equations. 7 a ax + ay = 5 2x + y = a=0
In Problems 45–64, use the inverses found in Problems 35–44 to solve each system of equations. bx + 3y bx + 2y = 2b + 2 = 2b + 3 b = 0
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