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college mathematics for business

Questions and Answers of College Mathematics For Business

In Problem find the indicated function f of a single variable.f(y) = K(4, y) for K(x, y) = 10xy + 3x - 2y + 8
In Problem M(x, y) = 68 + 0.3x - 0.8y gives the mileage (in mpg) of a new car as a function of tire pressure x (in psi) and speed (in mph). Find the indicated quantity (include the appropriate units)
In Problem use Theorem 2 to find the local extrema.f(x, y) = xey + xy + 1 THEOREM 2 Second-Derivative Test for Local Extrema If 1. z = f(x, y) 2. fx(a, b) = 0 and f(a, b) = 0 [(a, b) is a critical
In Problem evaluate each integral. Graph the region of integration, reverse the order of integration, and then evaluate the integral with the order reversed. 1-x SfxVy dy dx
In Problem M(x, y) = 68 + 0.3x - 0.8y gives the mileage (in mpg) of a new car as a function of tire pressure x (in psi) and speed (in mph). Find the indicated quantity (include the appropriate units)
In Problem find the volume of the solid under the graph of each function over the given rectangle. f(x, y) = 2x² - y²; R = {(x, y) |0 ≤x≤ 1, 0≤ y ≤ 1}
In Problem use Theorem 2 to find the local extrema.f(x, y) = y ln x + 3xy THEOREM 2 Second-Derivative Test for Local Extrema If 1. z = f(x, y) 2. fx(a, b) = 0 and f(a, b) = 0 [(a, b) is a critical
In Problem evaluate each integral. Graph the region of integration, reverse the order of integration, and then evaluate the integral with the order reversed. 4x (1 + 2y) dy dx
In Problem find the volume of the solid under the graph of each function over the given rectangle. f(x, y) = 5x; R = {(x, y) |0 ≤ x ≤ 5, 0≤ y ≤ 5}
In Problem find the indicated function f of a single variable.f(y) = M(y, y) for M(x, y) = x2y - 3xy2 + 5
In Problem M(x, y) = 68 + 0.3x - 0.8y gives the mileage (in mpg) of a new car as a function of tire pressure x (in psi) and speed (in mph). Find the indicated quantity (include the appropriate units)
The global land–ocean temperature index, which measures the change in global surface temperature (in °C) relative to 1951–1980 average temperatures, is given in the table for the years 1955
In Problem evaluate each integral. Graph the region of integration, reverse the order of integration, and then evaluate the integral with the order reversed. √x/2 Sox dy dx 0Jx/4
In Problem find the volume of the solid under the graph of each function over the given rectangle. f(x, y) = 4 - y²; R = {(x, y) |0 ≤ x ≤ 2, 0 ≤ y ≤ 2}
In Problem M(x, y) = 68 + 0.3x - 0.8y gives the mileage (in mpg) of a new car as a function of tire pressure x (in psi) and speed (in mph). Find the indicated quantity (include the appropriate units)
Three pens of the same size are to be built along an existing fence (see the figure). If 400 feet of fencing is available, what length should x and y be to produce the maximum total area? What is the
Data on U.S. organic food sales (in billions of dollars) are given in the table for the years 2005 through 2015.(A) Find the least-squares line for the data using x = 0 for 2000.(B) Use the
In Problem evaluate each integral. Graph the region of integration, reverse the order of integration, and then evaluate the integral with the order reversed. 2Vy Sov (1 + 2xy) dx dy 0 Jy²/4
In Problem find the volume of the solid under the graph of each function over the given rectangle. f(x, y) = e¯¯³; R = {(x, y) |0 ≤ x ≤ 1, 0≤ y ≤ 1}
Find a formula for the function D(x, y) of two variables that gives the square of the distance from the point (x, y) to the origin (0, 0).
In Problem M(x, y) = 68 + 0.3x - 0.8y gives the mileage (in mpg) of a new car as a function of tire pressure x (in psi) and speed (in mph). Find the indicated quantity (include the appropriate units)
In Problem find the volume of the solid under the graph of f (x, y) over the region R bounded by the graphs of the indicated equations. Sketch the region R; the solid does not have to be sketched.
Evaluate each double integral in Problem Select the order of integration carefully; each problem is easy to do one way and difficult the other. [[x em đội xey dA; R = {(x, y) |0 ≤ x ≤ 1, 1 ≤
Find a formula for the function V(d, h) of two variables that gives the volume of a right circular cylinder of diameter d and height h.
In Problem find the indicated second-order partial derivative for each function f(x, y).fxx(x, y) if f(x, y) = 6x - 5y + 3
In Problem find the volume of the solid under the graph of f (x, y) over the region R bounded by the graphs of the indicated equations. Sketch the region R; the solid does not have to be sketched.
Find a formula for the function C(n, w) of two variables that gives the number of calories in n cookies, each weighing w ounces, if there are 35 calories per ounce.
In Problem find the volume of the solid under the graph of f (x, y) over the region R bounded by the graphs of the indicated equations. Sketch the region R; the solid does not have to be sketched.
In Problem find the indicated second-order partial derivative for each function f(x, y).fyx(x, y) if f(x, y) = -2x + y + 8
Evaluate each double integral in Problem Select the order of integration carefully; each problem is easy to do one way and difficult the other. J 2y + 3xy² 1 + x² -dA; R R = {(x, y) |0 ≤x≤1,
Find a formula for the function N(p, r) of two variables that gives the number of hot dogs sold at a baseball game, if p is the price per hot dog and r is the total amount received from the sale of
In Problem find the volume of the solid under the graph of f (x, y) over the region R bounded by the graphs of the indicated equations. Sketch the region R; the solid does not have to be sketched.
In Problem find the indicated second-order partial derivative for each function f(x, y).fxy(x, y) if f(x, y) = 4x2 + 6y2 - 10
A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. If the revenue and cost equations for the year are (in millions of dollars)R(x, y) = 2x + 3yC(x, y) =
A store sells two brands of camping chairs. The store pays $60 for each brand A chair and $80 for each brand B chair. The research department has estimated the weekly demand equations for these two
Find a formula for the function S(x, y, z) of three variables that gives the average of three test scores x, y, and z.
In Problem find the indicated second-order partial derivative for each function f(x, y).fyy(x, y) if f(x, y) = x2 + 9y2 - 4
In Problem reverse the order of integration for each integral. Evaluate the integral with the order reversed. Do not attempt to evaluate the integral in the original form. S. 0 4 4x 1 + y² 2 dy dx
Find a formula for the function W(x1, x2, x3, x4) of four variables that gives the total volume of oil that can be carried in four oil tankers of capacities x1, x2, x3, and x4, respectively.
In Problem reverse the order of integration for each integral. Evaluate the integral with the order reversed. Do not attempt to evaluate the integral in the original form. S. S V1-x² dx dy
In Problem find the indicated second-order partial derivative for each function f(x, y).fxy(x, y) if f(x, y) = exy2
Find a formula for the function L(d, h) of two variables that gives the volume of a right circular cone of diameter d and height h.
In Problem find the indicated second-order partial derivative for each function f(x, y). fxx(x, y) if f(x, y) = 3 ln x 2 y²
In Problem find the indicated second-order partial derivative for each function f(x, y). fyy(x, y) if f(x, y) In x y
In Problem find the indicated second-order partial derivative for each function f(x, y).fyx(x, y) if f(x, y) = e3x + 2y
In Problem reverse the order of integration for each integral. Evaluate the integral with the order reversed. Do not attempt to evaluate the integral in the original form. 0 1 y2 4ye dx dy
Find a formula for the function T(x, y, z) of three variables that gives the square of the distance from the point (x, y, z) to the origin (0, 0, 0).
In Problem reverse the order of integration for each integral. Evaluate the integral with the order reversed. Do not attempt to evaluate the integral in the original form. 2 VF √3x + y² dy dx
In Problem use a graphing calculator to graph the region R bounded by the graphs of the indicated equations. Use approximation techniques to find intersection points correct to two decimal places.
Suppose that Congress enacts a onetime- only 10% tax rebate that is expected to infuse $y billion, 5 ≤ y ≤ 7, into the economy. If every person and every corporation is expected to spend a
Find a formula for the function K(C, h) of two variables that gives the volume of a right circular cone of circumference C and height h.
In Problem use a graphing calculator to graph the region R bounded by the graphs of the indicated equations. Use approximation techniques to find intersection points correct to two decimal places.
In Problem find the indicated second-order partial derivative for each function f(x, y).fxx(x, y) if f(x, y) = (2x + y)5
Let F(x, y) = 2x + 3y - 6. Find all values of y such that F(0, y) = 0.
In Problem find the indicated second-order partial derivative for each function f(x, y).fyx(x, y) if f(x, y) = (3x - 8y)6
In Problem use a graphing calculator to graph the region R bounded by the graphs of the indicated equations. Use approximation techniques to find intersection points correct to two decimal places.
Let F(x, y) = 5x - 4y + 12. Find all values of x such that F(x, 0) = 0.
In Problem find the indicated second-order partial derivative for each function f(x, y).fxy(x, y) if f(x, y) = (x2 + y4)10
In Problem use a graphing calculator to graph the region R bounded by the graphs of the indicated equations. Use approximation techniques to find intersection points correct to two decimal places.
If an industry invests x thousand labor-hours, 10 ≤ x ≤ 20, and $y million, 1 ≤ y ≤ 2, in the production of N thousand units of a certain item, then N is given byN(x, y) = x0.75y0.25What is
Let F(x, y) = 2xy + 3x - 4y - 1. Find all values of x such that F(x, x) = 0.
In Problem find the indicated second-order partial derivative for each function f(x, y).fyy(x, y) if f(x, y) = (1 + 2xy2)8
In Problem use a graphing calculator to graph the region R bounded by the graphs of the indicated equations. Use approximation techniques to find intersection points correct to two decimal places.
Let F(x, y) = xy + 2x2 + y2 - 25. Find all values of y such that F(y, y) = 0.
In order to study the population distribution of a certain species of insect, a biologist has constructed an artificial habitat in the shape of a rectangle 16 feet long and 12 feet wide. The only
Let F(x, y) = x2 + exy - y2. Find all values of x such that F(x, 2) = 0.
For the function f(x, y) = x2 + 2y2, find f(x + h,y)-f(x, y) h
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cx (x, y)
In Problem use a graphing calculator to graph the region R bounded by the graphs of the indicated equations. Use approximation techniques to find intersection points correct to two decimal places.
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cy (x, y)
A heavy industrial plant located in the center of a small town emits particulate matter into the atmosphere. Suppose that the concentration of fine particulate matter (in micrograms per cubic meter)
For the function f(x, y) = 2xy2, find f(x + h,y)-f(x, y) h
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cx (3, -2)
The floor of a glass-enclosed atrium at a football stadium is the region bounded by y = 0 and y = 100 - 0.01x2. The ceiling lies on the graph of f(x, y) = 90 - 0.5x. (Each unit on the x, y, and z
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cy (3, -2)
The average value of a function f(x, y) over a regular region R is defined to beUse this definition of average value in ProblemAn industrial plant is located on the lakefront of a city. Let (0, 0) be
The floor of an art museum gallery is the region bounded by x = 0, x = 40, y = 0, and y = 50 - 0.3x. The ceiling lies on the graph of f(x, y) = 25 - 0.125x. (Each unit on the x, y, and z axes
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cxx (x, y)
The intelligence quotient Q for a person with mental age x and chronological age y is given byIn a group of sixth-graders, the mental age varies between 8 and 16 years and the chronological age
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cyy (x, y)
The floor of a concert hall is the region bounded by x = 0 and x = 100 - 0.04y2. The ceiling lies on the graph of f(x, y) = 50 - 0.0025x2. (Each unit on the x, y, and z axes represents one foot.)
In Problem use a graphing calculator as necessary to explore the graphs of the indicated cross sections.(A) Explain why the cross sections of the surface z = f(x, y) produced by cutting it with
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cxy (x, y)
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cyx (x, y)
In Problem use a graphing calculator as necessary to explore the graphs of the indicated cross sections.Let f(x, y) = x2.(A) Explain why the cross sections of the surface z = f(x, y) produced by
In Problem use a graphing calculator as necessary to explore the graphs of the indicated cross sections.(A) Describe the cross sections of the surface z = f(x, y) produced by cutting it with the
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cxx (3, -2)
In Problem use a graphing calculator as necessary to explore the graphs of the indicated cross sections.(A) Explain why f(a, b) = f(c, d) whenever (a, b) and (c, d) are points on the same circle with
In Problem find the indicated function or value if C(x, y) = 3x2 + 10xy - 8y2 + 4x - 15y - 120.Cyy (3, -2)
In Problem S (T, r) = 50 (T - 40) (5 - r) gives an ice cream shop’s daily sales as a function of temperature T (in °F) and rain r (in inches). Find the indicated quantity (include the appropriate
In Problem use a graphing calculator as necessary to explore the graphs of the indicated cross sections.Let f(x, y) = 100 + 10x + 25y - x2 - 5y2.(A) Describe the cross sections of the surface z =
In Problem S (T, r) = 50 (T - 40) (5 - r) gives an ice cream shop’s daily sales as a function of temperature T (in °F) and rain r (in inches). Find the indicated quantity (include the appropriate
In Problem use a graphing calculator as necessary to explore the graphs of the indicated cross sections.Let f(x, y) = e-(x2 + y2).(A) Explain why f(a, b) = f(c, d) whenever (a, b) and (c, d) are
At the end of each year, $5,000 is invested into an IRA earning 3% compounded annually.(A) How much will be in the account at the end of 30 years? Use the annuity formulawhereP = periodic paymenti =
For a diver using scuba-diving gear, a marine biologist estimates the time (duration) of a dive according to the equationwhereT = time of dive in minutesV = volume of air, at sea level pressure,
A small manufacturing company produces two models of a surfboard: a standard model and a competition model. If the standard model is produced at a variable cost of $210 each and the competition model
In Problem find fxx (x, y), fxy (x, y), fyx (x, y), and fyy (x, y) for each function f. f(x, y) X y y X
In Problem S (T, r) = 50 (T - 40) (5 - r) gives an ice cream shop’s daily sales as a function of temperature T (in °F) and rain r (in inches). Find the indicated quantity (include the appropriate
In Problem find fxx (x, y), fxy (x, y), fyx (x, y), and fyy (x, y) for each function f.f(x, y) = x2y2 + x3 + y
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. А .1 B .7 с

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