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Questions and Answers of College Mathematics For Business

In Problem perform the indicated operations and simplify.- (5 - 3x)2
Solve Problem by using any method.y2 - 4y = -8
In Problem find rational number representations for each, if they exist.9-3/2
In Problem indicate true (T) or false (F).(x + 8)(x + 6) = (x + 8)x + (x + 8)6
In Problem write each number in standard decimal notation.7 x 10-3
In Problem factor completely. If a polynomial cannot be factored, say so.m2 - 6m - 3
In Problem perform the indicated operations and simplify.(4m + 3n) (4m - 3n)
Solve Problem by using any method.x2 - 2x = -3
In Problem find rational number representations for each, if they exist.8-2/3
In Problem indicate true (T) or false (F).u(u - 2v) + v(u - 2v) = (u + v)(u - 2v)
In Problem write each number in standard decimal notation.2 x 10-5
In Problem perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms. y y 2.
In Problem perform the indicated operations and simplify.(3x - 2y) (3x + 2y)
Solve Problem by using any method.(2x + 3)2 = 11
In Problem simplify each expression and write answers using positive exponents only. All variables represent positive real numbers.x4/5x-2/5
In Problem write each number in standard decimal notation.6.171 x 107
In Problem factor completely. If a polynomial cannot be factored, say so.w2x2 - y2
Solve Problem by using any method.(5x - 2)2 = 7
In Problem simplify each expression and write answers using positive exponents only. All variables represent positive real numbers.y-3/7y4/7
In Problem write each number in standard decimal notation.3.044 x 103
Solve Problem by using any method. 3
In Problem factor completely. If a polynomial cannot be factored, say so.25m2 - 16n2
In Problem simplify each expression and write answers using positive exponents only. All variables represent positive real numbers. m2/3 т -1/3 m
In Problem perform the indicated operations and simplify.(4x - y)2
In Problem perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms. с +2 с — 2 + Зс - 3 5с - 5 1 - с
In Problem write each number in standard decimal notation.8.08 x 10-4
Solve Problem by using any method. 7
In Problem factor completely. If a polynomial cannot be factored, say so.9m2 - 6mn + n2
In Problem simplify each expression and write answers using positive exponents only. All variables represent positive real numbers. x/4 x/4
In Problem perform the indicated operations and simplify.(a - b) (a2 + ab + b2)
Solve Problem by using any method. 3 2 - 2. m' m
In Problem write each number in standard decimal notation.1.13 x 10-2
In Problem factor completely. If a polynomial cannot be factored, say so.x2 + 10xy + 25y2
In Problem perform the indicated operations and simplify.(a + b) (a2 - ab + b2)
In Problem perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms. 3 1 + 9.
In Problem simplify each expression and write answers using positive exponents only. All variables represent positive real numbers.(8x3y-6)1/3
Solve Problem by using any method. 3 2 +
Indicate whether the following are true (T) or false (F):(A) All integers are natural numbers.(B) All rational numbers are real numbers.(C) All natural numbers are rational numbers.
In Problem simplify and express answers using positive exponents only. Assume that variables are nonzero.(22 + 31)0
In Problem factor completely. If a polynomial cannot be factored, say so.y2 + 16
In Problem perform the indicated operations and simplify.[(x - y) + 3z][ (x - y) - 3z]
In Problem simplify each expression and write answers using positive exponents only. All variables represent positive real numbers.(4u-2v4)1/2
Indicate whether the following are true (T) or false (F):(A) All natural numbers are integers.(B) All real numbers are irrational.(C) All rational numbers are real numbers.
In Problem simplify and express answers using positive exponents only. Assume that variables are nonzero.(2x3y4)0
In Problem perform the indicated operations and simplify.[a - (2b - c)][a + (2b - c)]
In Problem find the indicated value.fx (1, 3) if f(x, y) = 5x3y - 4xy2
In Problem find each antiderivative. Then use the antiderivative to evaluate the definite integral. (4) v dy Vy + x2 dy Vy + x? (В)
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [1 0] A В A.7 P = BL.1 .9.
In Problem write a transition matrix for the transition diagram indicated, identify any absorbing states, and classify each Markov chain as regular, absorbing, or neither. .2 A B 3 .7 D C .2 .8
In Problem write a transition matrix for the transition diagram indicated, identify any absorbing states, and classify each Markov chain as regular, absorbing, or neither. .2 A B 3 .7 D C .2 .8
In Problem determine the long-run behavior of the successive state matrices for the indicated transition matrix and initial-state matrices. А В в с C A 1 P = B0 1 CL.2 (А) So 3 [0 0 1] (В) So
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.5 .5 0] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.5 .5 0] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.5 .5 0] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem find a standard form for the absorbing Markov chain with the indicated transition diagram. A B .3 .5 C .4
In Problem could the given matrix be the transition matrix of a regular Markov chain? .1 .3 .6 .8 .1 .1 1
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 1 0] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 0 1] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.5 0 .5] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem determine the long-run behavior of the successive state matrices for the indicated transition matrix and initial-state matrices. A В с A 0 1 P = B0 C.2 .6 .2 (A) So = [0 0 1] (B) So =
In Problem find a standard form for the absorbing Markov chain with the indicated transition diagram. A B C
In Problem determine the long-run behavior of the successive state matrices for the indicated transition matrix and initial-state matrices. А В в с C A 1 P = B0 1 CL.2 (А) So 3 [0 0 1] (В) So
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.5 .5 0] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem find a standard form for the absorbing Markov chain with the indicated transition diagram. A B .1 .4 .2 D .3 .3
In Problem find the indicated values off(-10, 4, -3) f(x, y, z) = 2x - 3y² + 5z3 – 1
In Problem use Theorem 2 to find the local extrema.f(x, y) = x2 + 3xy + 2y2 + 5 THEOREM 2 Second-Derivative Test for Local Extrema If 1. z = f(x, y) 2. f(a, b) = 0 and f,(a, b) = 0[(a, b) is a
In Problem use the description of the region R to evaluate the indicated integral. || (x? + y?) dA; R = {(x, y) 0 < y s 2r, 0 sxs 2}
In Problem find the indicated first-order partial derivative for each function z = f(x, y). Öz if z = x + 4x?y + 2y3
In Problem evaluate each iterated integral.See Problem 11 dx dy Vy + x?
Without doing any computation, predict the average value of f(x, y) = x + y over the rectangle R = {(x, y) | -10 ≤ x ≤ 10, -10 ≤ y ≤ 10}. Then check the correctness of your prediction by
In Problem find the indicated value of the given function. n! P(13, 5) for P(n, r) (п — г)!
In Problem find the indicated first-order partial derivative for each function z = f(x, y). Öz if z = 4x?y – 5xy ду 5ry?
Use the method of Lagrange multipliers in Problem.Maximize and minimize f(x, y, z) = x + 10y + 2zsubject to x2 + y2 + z2 = 105
In Problem use Theorem 2 to find the local extrema.f(x, y) = 4x2 - xy + y2 + 12 THEOREM 2 Second-Derivative Test for Local Extrema If 1. z = f(x, y) 2. f(a, b) = 0 and f,(a, b) = 0[(a, b) is a
In Problem use the description of the region R to evaluate the indicated integral. (x + y – 2) dA; R R = {(x, y)|0 < xs y + 2, 0 < y s 1}
Use the method of Lagrange multipliers in Problem.Maximize and minimize f(x, y, z) = 3x + y + 2zsubject to 2x2 + 3y2 + 4z2 = 210
Simplify each expression in Problem using properties of radicals. All variables represent positive real numbers. V6rV15x³V30x
In Problem imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class.(A) Is the solution correct? If the solution is incorrect, explain what is
If c = 0.151515 ... , then 100c = 15.1515 ... and 100c - c = 15.1515 ... -0.151515 ... 99c = 15Proceeding similarly, convert the repeating decimal 0.090909 ... into a fraction. (All repeating
In Problem perform the indicated operations and simplify.(m - 2)2 - (m - 2) (m + 2)
In Problem simplify and express answers using positive exponents only. Assume that variables are nonzero. 8x-3 -1 -4
In Problem imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class.(A) Is the solution correct? If the solution is incorrect, explain what is
In Problem factor completely. If a polynomial cannot be factored, say so.6m2 - mn - 12n2
In Problem perform the indicated operations and simplify.(x - 3) (x + 3) - (x - 3)2
Simplify each expression in Problem using properties of radicals. All variables represent positive real numbers. Vor V10 V6x V15x
In Problem factor completely. If a polynomial cannot be factored, say so.6s2 + 7st - 3t2
In Problem imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class.(A) Is the solution correct? If the solution is incorrect, explain what is
In Problem perform the indicated operations and simplify.(x - 2y) (2x + y) - (x + 2y) (2x - y)
Use a calculator to express each number in Problem as a decimal to the capacity of your calculator. Observe the repeating decimal representation of the rational numbers and the nonrepeating decimal
Solve A = P(1 + r)2 for r in terms of A and P; that is, isolate r on the left side of the equation (with coefficient 1) and end up with an algebraic expression on the right side involving A and P but
In Problem write each expression in the form axp + bxq or axp + bxq + cxr, where a, b, and c are real numbers and p, q, and r are integers. For example, 2x - 3x2 + 1 2x4 3x 1 3 = X
Simplify each expression in Problem using properties of radicals. All variables represent positive real numbers. 8V12y Vóy
In Problem imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class.(A) Is the solution correct? If the solution is incorrect, explain what is
In Problem write each expression in the form axp + bxq or axp + bxq + cxr, where a, b, and c are real numbers and p, q, and r are integers. For example, 2x - 3x2 + 1 2x4 3x 1 3 = X
In Problem factor completely. If a polynomial cannot be factored, say so.4u3v - uv3
In Problem imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class.(A) Is the solution correct? If the solution is incorrect, explain what is
In Problem factor completely. If a polynomial cannot be factored, say so.x3y - 9xy3
In Problem without using a calculator, round to the nearest integer. (A) 37 (B) 19
In Problem write each expression in the form axp + bxq or axp + bxq + cxr, where a, b, and c are real numbers and p, q, and r are integers. For example, 2x - 3x2 + 1 2x4 3x 1 3 = X
In Problem perform the indicated operations and simplify.(u + v)3

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