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mathematics
college mathematics for business economics

Questions and Answers of College Mathematics For Business Economics

Does there exist an infinite geometric series with a1 = 10 that has sum equal to 6? Explain.
Write each series in Problems 43–50 in expanded form without summation notation. Do not evaluate. 2k k=22k + 3
Write each series in Problems 43–50 in expanded form without summation notation. Do not evaluate. 7 (-1) k Σ k=3k2 - k
Write each series in Problems 43–50 in expanded form without summation notation. Do not evaluate. 5 -1 xk- k=1
Write each series in Problems 43–50 in expanded form without summation notation. Do not evaluate. 3 k=1 pk +1 x k
The government, through a subsidy program, distributes $5,000,000. If we assume that each person or agency spends 70% of what is received, and 70% of this is spent, and so on, how much total increase
Write each series in Problems 43–50 in expanded form without summation notation. Do not evaluate. 4 k=0 (−1)kx2k+1 2k + 1
Write each series in Problems 43–50 in expanded form without summation notation. Do not evaluate. 4 k=0 (-1) 2k 2k + 2
Due to reduced taxes, a person has an extra $1,200 in spendable income. If we assume that the person spends 65% of this on consumer goods, and the producers of these goods in turn spend 65% on
Write each series in Problems 51–54 using summation notation with 2 + 3 + 4 + 5 + 6(A) The summing index k starting at k = 1 (B) The summing index j starting at j = 0
Write each series in Problems 55–58 using summation notation with the summing index k starting at k = 1. 2+ 3/2 + 3 + n+1 n
Write each series in Problems 55–58 using summation notation with the summing index k starting at k = 1. 1 + + +
Write each series in Problems 51–54 using summation notation with 12 + 22 + 32 + 42(A) The summing index k starting at k = 1 (B) The summing index j starting at j = 0
Write the first five terms of each sequence in Problems 21–26. ann[1 + (-1)"]
Let a1, a2, a3, ..., an, ... be a geometric sequence. In Problems 15-24, find the indicated quantities. a₁ 8,000; r = 0.4; S10 = ?; S = ?
Write the first five terms of each sequence in Problems 21–26. an 3\n-1 3/2
Write the first five terms of each sequence in Problems 21–26. an 2 n+1
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms. -2, -1, 0, 1, ...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms. 4, 5, 6, 7, ...
Write each series in Problems 55–58 using summation notation with the summing index k starting at k = 1. 2 -14 + 8 + (−1)"+1 2"
In Problems 59–62, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. For each positive integer n, the sum of the series 1+ 2 + 113 + 1 +
In Problems 59–62, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample.For each positive integer n, the sum of the series.
In Problems 59–62, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. For each positive 1 1 1 + 2 4 equal to 1 4 8 integer n, the sum of
Write each series in Problems 55–58 using summation notation with the summing index k starting at k = 1. 1-4 +9+ (−1)"+¹n²
Evaluate each integral in Problems 7–10. So f (x + y) dy dx
Evaluate each integral in Problems 7–10. S. (2x + y) dx dy v
In Problems 11–14, give a verbal description of the region R and determine whether R is a regular x region, a regular y region, both, or neither. R = {(x, y) |1 ≤ x² + y² ≤4}
In Problems 11–14, give a verbal description of the region R and determine whether R is a regular x region, a regular y region, both, or neither. R = {(x, y) ||x + y ≤ 1}
In Problems 15–20, use the description of the region R to evaluate the indicated integral. 1/2 2x²y dA; R R = {(x, y) |0 ≤ y ≤ 9 - x², -3 ≤ x ≤ 3}
In Problems 15–20, use the description of the region R to evaluate the indicated integral. (2x + 3y) dA; R R = {(x, y) |y²4 ≤ x ≤ 4-2y, 0≤ y ≤ 2}
In Problems 15–20, use the description of the region R to evaluate the indicated integral. x dA; √x² + y² R R = {(x,y) |0 ≤ x ≤ V4y-y², 0≤ y ≤ 2}
In Problems 21–26, graph the region R bounded by the graphs of the indicated equations. Describe R in set notation with double inequalities, and evaluate the indicated integral. y= x + 1, y = 0,
Data on U.S. property crimes (in number of crimes per 100,000 population) are given in the table for the years 2001 through 2011. (A) Find the least squares line for the data, using x = 0 for
Data for cable TV revenue are given in the table for the years 2002 through 2010. (A) Find the least squares line for the data, using x = 0 for 2000. (B) Use the least squares line to predict cable
The table gives the winning heights in the pole vault in the Olympic Games from 1980 to 2012. (A) Use a graphing calculator to find the least squares line for the data, letting x = 0 for 1980. (B)
Let f(x, y) = x3 + y2 - e-x - 1.(A) Find the average value of f(x, y) over the rectangle.(B) Graph the set of all points (x, y) in R for which f(x, y) = 0. (C) For which points (x, y) in R is f(x,
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 5.9.13 3.5.7
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 10.9.8 3.2.1
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 12 11 10 9 4.3.2.1
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 15.10.5 20.15.10
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. dº За d2 a ба2 4d3
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. d³ За zP 6a2 a 4d3
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. + 12 18 -18 30
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 2у 18 I -1 28 y 42
In Problems 7–26, indicate true (T) or false (F). 5(8m) = (5 • 8)m
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 4m - 3 18m³ + 3 4m 2m 1 6m²
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 3x + 8 4x² 2x 1 x³ 5 8x
In Problems 9–30, perform the indicated operations and simplify.2(u - 1) - (3u + 2) - 2(2u - 3)
In Problems 7–26, indicate true (T) or false (F). uv (w + x) = uvw + uvx
In Problems 9–30, perform the indicated operations and simplify.2(x - 1) + 3(2x - 3) - (4x - 5)
In Problems 7–26, indicate true (T) or false (F). -2(-a) (2x - y) = 2a(-4x+y)
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. ²-9 x² - 3x ÷ (x² - x - 12) x)
In Problems 9–30, perform the indicated operations and simplify.4a - 2a[5 - 3 (a + 2)]
In Problems 7–26, indicate true (T) or false (F). 8 ÷ (-5) (-5) = 8( 1 -5,
In Problems 9–30, perform the indicated operations and simplify. 2y 2у - 3у[4 - 2(у - 1)]
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 2x² + 7x + 3 4x² 1 - ÷ (x + 3)
In Problems 7–26, indicate true (T) or false (F). (x + 3) + 2x = 2x + (x+3)
In Problems 9–30, perform the indicated operations and simplify.(a + b)(a - b)
In Problems 9–30, perform the indicated operations and simplify.(m - n) (m + n)
In Problems 7–26, indicate true (T) or false (F). 2x - (x + 3) || 2x x + 3
In Problems 9–30, perform the indicated operations and simplify.(3x - 5) (2x + 1)
In Problems 9–30, perform the indicated operations and simplify. (4t- 3)(t - 2)
In Problems 7–26, indicate true (T) or false (F). 2x - (x − 3) 2x x - 3
In Problems 9–30, perform the indicated operations and simplify. (2x - 3y) (x + 2y)
In Problems 7–26, indicate true (T) or false (F). (-3) (-3) = 1
In Problems 9–30, perform the indicated operations and simplify. (3x + 2y) (x3y)
In Problems 7–26, indicate true (T) or false (F). (-0.5) + (0.5) = 0
In Problems 9–30, perform the indicated operations and simplify. (3y + 2) (3y - 2)
In Problems 7–26, indicate true (T) or false (F). (1-)= I- で
In Problems 9–30, perform the indicated operations and simplify. (2m 7) (2m + 7)
In Problems 7–26, indicate true (T) or false (F). [-(x + 2)](-x) = (x+2)x
In Problems 9–30, perform the indicated operations and simplify. - (2x - 3)²
In Problems 7–26, indicate true (T) or false (F). b + C d || a + c b + d
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 2x x² - 16 x - 4 2 x² + 4x
In Problems 9–30, perform the indicated operations and simplify. - (5 - 3x)²
In Problems 7–26, indicate true (T) or false (F). k k + b 1 1 + b
In Problems 19–56, factor completely. If a polynomial cannot be factored, say so. x2 - 4xy - 12y2
In Problems 9–30, perform the indicated operations and simplify. (4m +3n) (4m - 3n)
In Problems 7–26, indicate true (T) or false (F). (x + 8) (x + 6) = (x+8)x + (x +8)6
In Problems 9–30, perform the indicated operations and simplify. (3x - 2y) (3x + 2y)
In Problems 7–26, indicate true (T) or false (F). u(u 2v) + v(u 2v) = (u + v) (u 2v) -
In Problems 19–56, factor completely. If a polynomial cannot be factored, say so. x2 + x - 4
In Problems 23–34, perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms. y 1 2 y²-y - 2 y² + 5y -
In Problems 9–30, perform the indicated operations and simplify. (3и + 4г)2
In Problems 9–30, perform the indicated operations and simplify. (4x - y)²
In Problems 7–26, indicate true (T) or false (F).If either x - 2 = 0 or 2x + 3 = 0, then (x - 2) (2x +3) = 0.
In Problems 19–56, factor completely. If a polynomial cannot be factored, say so. 25m2 - 16n2
In Problems 23–34, perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms. 5 2 3 4x + 1
In Problems 9–30, perform the indicated operations and simplify. (ab) (a² + ab + b²)
In Problems 9–30, perform the indicated operations and simplify. (₂9+qp₂p) (q + v)
In Problems 23–34, perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms. x + 7 ax - bx + y + 9 by - ay
In Problems 9–30, perform the indicated operations and simplify. [ze- (x)] [² + (x − x)]
In Problems 9–30, perform the indicated operations and simplify. [a (2bc) ] [a +(2b - c)]
In Problems 23–34, perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms. 1 1 X y X
In Problems 31–44, perform the indicated operations and simplify. m {m- [m (m 1)]}
In Problems 23–34, perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms. 1 2(x + h) h 1 2x
In Problems 31–44, perform the indicated operations and simplify. 2x - 3{x + 2[x - (x + 5)] + 1}
In Problems 23–34, perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms. 1 x + h h 1 X
In Problems 31–44, perform the indicated operations and simplify. (x² - 2xy + y²) (x² + 2xy + y²)
In Problems 31–44, perform the indicated operations and simplify. (3x - 2y)²(2x + 5y)

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