All Matches

Solution Library

Expert Answer

Textbooks

Search Textbook questions, tutors and Books

Oops, something went wrong!

Change your search query and then try again

Result Not Found

Books FREE
Tutors
Study Help
Ask a Question

Search
Sign In
Register

study help
mathematics
college mathematics for business

Questions and Answers of College Mathematics For Business

Each student in a psychology class is given one day to memorize the same list of 30 special characters. The lists are turned in at the end of the day, and for each succeeding day for 30 days, each
A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts produced by hiring x new workers is given byT(x) = -0.25x4 + 5x3 0 ≤ x ≤ 15When is the rate of
An automobile dealer uses TV advertising to promote car sales. On the basis of past records, the dealer arrived at the following data, where x is the number of ads placed monthly and y is the number
A drug is injected into the bloodstream of a patient through the right arm. The drug concentration in the bloodstream of the left arm t hours after the injection is approximated byFind the critical
A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number of bacteria is given approximately byN(t) = 1,000 + 30t2 - t3 0 ≤ t ≤ 20(A) When is the
In Problem find f′(x) and the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal.f(x) = 5ex2 - 4x + 1; x = 0
In Problem find h′(x), where f(x) is an unspecified differentiable function. f(x) h(x) x3
In Problem find the logarithmic derivative.A(t) = 2,000e0.052t
In Problem find f′(x) and the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal.f(x) = ln(1 - x2 + 2x4) ; x = 1
A student claims that the line tangent to the graph of g(x) = ln x at x = 3 passes through the origin (see the figure). Is he correct? Will the line tangent at x = 4 pass through the origin? Explain.
In Problem find h′(x), where f(x) is an unspecified differentiable function. h(x) f(x)
The price p (in dollars per pound) and demand x (in pounds) for almonds are related byIf the current price of $2.25 per pound is increasing at a rate of $0.20 per week, find the rate of change (in
In Problem find the logarithmic derivative.A(t) = 3,500e0.15t
(A) Show that the doubling time t (in years) at an annual rate r compounded continuously is given by(B) Graph the doubling-time equation from part (A) for 0.02 ≤ r ≤ 0.30. Is this restriction on
In Problem find h′(x), where f(x) is an unspecified differentiable function. 2. h(x) || f(x)
In Problem find the logarithmic derivative.A(t) = 900e0.24t
The price p (in dollars) and demand x (in bushels) for peaches are related byx = 3p2 - 2p + 500If the current price of $38 per bushel is decreasing at a rate of $1.50 per week, find the rate of
If $100 is invested at 10% interest compounded continuously, then the amount (in dollars) at the end of t years is given byA = 100e0.1tFind A′(t), A′(1), and A′(10).
In Problem first use appropriate properties of logarithms to rewrite f(x), and then find f′(x).f(x) = 10x + ln 10x
In Problem find the logarithmic derivative.f(x) = xex
In Problem find h′(x), where f(x) is an unspecified differentiable function.h(x) = exf(x)
A political campaign estimates that the candidate’s polling percentage y and the amount x (in millions of dollars) that is spent on television advertising are related byy = 25 + 4ln xIf $12 million
If $12,000 is invested in an account that earns 3.95% compounded continuously, find the instantaneous rate of change of the amount when the account is worth $25,000.
A mathematical model for the decay of radioactive substances is given byQ = Q0ertwhereQ0 = amount of the substance at time t = 0r = continuous compound rate of decayt = time in yearsQ = amount of the
The price–demand equation for 14-cubic-foot refrigerators at an appliance store isp(x) = 1,000e-0.02xwhere x is the monthly demand and p is the price in dollars. Find the marginal revenue equation.
In Problem find the logarithmic derivative.f(x) = ln x
In Problem find y′ and the slope of the tangent line to the graph of each equation at the indicated point.(1 + y)3 + y = x + 7; (2, 1)
A company is manufacturing kayaks and can sell all that it manufactures. The revenue (in dollars) is given bywhere the production output in 1 day is x kayaks. If production is increasing at 3 kayaks
The price p (in dollars) and demand x for a product are related by2x2 + 5xp + 50p2 = 80,000(A) If the price is increasing at a rate of $2 per month when the price is $30, find the rate of change of
In Problem find the logarithmic derivative.f(x) = x ln x
In Problem find y′ and the slope of the tangent line to the graph of each equation at the indicated point.(y - 3)4 - x = y; (-3, 4)
In Problem find y′ and the slope of the tangent line to the graph of each equation at the indicated point.(x - 2y)3 = 2y2 - 3; (1, 1)
An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick (see the figure). To estimate the rate dV/dt (in cubic feet per minute) at which the oil is leaking from the
The price–demand equation for home-delivered large pizzas isp = 38.2 - 0.002xwhere x is the number of pizzas delivered weekly. The current price of one pizza is $21. In order to generate additional
A mathematical model for world population growth over short intervals is given byP = P0ertwhereP0 = population at time t = 0r = continuous compound rate of growtht = time in yearsP = population at
In Problem find y′ and the slope of the tangent line to the graph of each equation at the indicated point.(2x - y)4 - y3 = 8; (-1, -2)
A model for the average income per household before taxes are paid isf(t) = 1,700t + 20,500where t is years since 1980. Find the relative rate of change of household income in 2015.
How long will it take for the U.S. population to double if it continues to grow at a rate of 0.78% per year?
In Problem find h′(x), where f(x) is an unspecified differentiable function. f(x) h(x)
A student claims that the line tangent to the graph of f(x) = ex at x = 3 passes through the point (2, 0) (see the figure). Is she correct? Will the line tangent at x = 4 pass through (3, 0)?
In Problem find the logarithmic derivative.A(t) = 500e0.07t
The price p (in dollars) and demand x for microwave ovens are related byIf the current price of $124 is increasing at a rate of $3 per week, find the rate of change (in ovens per week) of the demand.
In Problem find f′(x) and the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal.f(x) = (2x + 8)1/2; x = 4
In Problem find h′(x), where f(x) is an unspecified differentiable function. f(x) h(x) %3D
Find y′ for y = y(x) defined implicitly by the equation exy = x2 + y + 1, and evaluate at (0, 0).
In Problem use the price–demand equation to find E(p), the elasticity of demand.x = f(p) = 160 - 35 ln p
In Problem use the price–demand equation to find E(p), the elasticity of demand.x = f(p) = 98 - 0.6ep
In Problem find f′(x) and the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal.f(x) = (4x - 3)1/2; x = 3
At what nominal rate compounded continuously must money be invested to double in 8 years?
The price p (in dollars) and demand x for wireless headphones are related byx = 6,000 - 0.15p2If the current price of $110 is decreasing at a rate of $5 per week, find the rate of change (in
Problem refer to the equation and graph shown in the figure.Use implicit differentiation to find the slopes of the tangent lines at the points on the graph where x = 1.6. Check your answers by
In Problem find h′(x), where f(x) is an unspecified differentiable function.h(x) = x3 f (x)
In Problem use the price–demand equation to find E(p), the elasticity of demand.x = f(p) = 8,400 - 7p2
In Problem find f′(x) and the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal.f(x) = (3x - 1)4; x = 1
In Problem find h′(x), where f(x) is an unspecified differentiable function.h(x) = x2 f (x)
In Problem find x′ for x = x(t) defined implicitly by the given equation. Evaluate x′ at the indicated point.x3 - tx2 - 4 = 0; (-3, -2)
In Problem use the price–demand equation to find E(p), the elasticity of demand.x = f(p) = 4,800 - 4p2
In Problem find f′(x) and the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal.f(x) = (2x - 1)3; x = 1
How long will it take money to double if it is invested at 4% compounded continuously?
A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related bys = 60,000 - 40,000e-0.0005xThe current weekly advertising costs are $2,000, and these
In Problem find h′(x), where f(x) is an unspecified differentiable function.h(x) = xf (x)
In Problem find x′ for x = x(t) defined implicitly by the given equation. Evaluate x′ at the indicated point.x2 - t2x + t3 + 11 = 0; (-2, 1)
In Problem use the price–demand equation to find E(p), the elasticity of demand.x = f(p) = 10,000 - 190p
In Problem find f′(x) and simplify. 2x f(x) 1 + In x ||
Referring to Problem 33, in how many years will the $10,000 be due in order for its present value to be $5,000?
Solving A = Pert for P, we obtainP = Ae-rtwhich is the present value of the amount A due in t years if money earns interest at an annual nominal rate r compounded continuously.(A) Graph P =
Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given bywhere the production output in 1 week is x calculators. If production is increasing at a rate
In Problem use the price–demand equation to find E(p), the elasticity of demand.x = f(p) = 25,000 - 450p
In Problem find f′(x) and simplify.f(x) = (1 + ln x)3
In Problem find f′(x) and simplify. In x f(x) 1 + x
Graph the revenue function as a function of price p, and indicate the regions of inelastic and elastic demand if the price–demand equation isx = f(p) = 5(20 - p) 0 ≤ p ≤ 20
A family paid $99,000 cash for a house. Fifteen years later, the house was sold for $195,000. If interest is compounded continuously, what annual nominal rate of interest did the original $99,000
In Problem find f′(x) and simplify. 1 – e 1 + e* f(x)
Find the values of p for which demand is elastic and the values for which demand is inelastic if the price–demand equation isx = f(p) = 20(p - 15)2 0 ≤ p ≤ 15
In Problem find the percentage rate of change of f(x) at the indicated value of x. Round to the nearest tenth of a percent.f(x) = 5,100 - 3x2; x = 41
In Problem find f′(x) and simplify.f(x) = 3 ln(1 + x2)
An investor bought stock for $20,000. Five years later, the stock was sold for $30,000. If interest is compounded continuously, what annual nominal rate of interest did the original $20,000
In Problem find f′ (x).f(x) = xxe
In Problem find y′ and the slope of the tangent line to the graph of each equation at the indicated point. V7 + y? – x³ + 4 = 0; (2, 3)
In Problem find y′ and the slope of the tangent line to the graph of each equation at the indicated point. 6Vy3 + 1 – 2x/2 – 2 = 0; (4, 2)
The drug concentration in the bloodstream t hours after injection is given approximately byC(t) = 5e-0.3twhere C(t) is concentration in milligrams per milliliter. What is the rate of change of
A circular wound on an arm is healing at the rate of 45 square millimeters per day (the area of the wound is decreasing at this rate). How fast is the radius R of the wound decreasing when R = 15
In Problem use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32.Find the elasticity of demand when p = $12. If the $12 price is increased by 4%, what is the approximate percentage change
In Problem find y′ and the slope of the tangent line to the graph of each equation at the indicated point.ln(xy) = y2 - 1; (1, 1)
In a computer assembly plant, a new employee, on the average, is able to assembleN(t) = 10(1 - e-0.4t)units after t days of on-the-job training.(A) What is the rate of learning after 1 day? After 5
A new worker on the production line performs an operation in T minutes after x performances of the operation, as given byIf, after performing the operation 9 times, the rate of improvement is dx/dt =
In Problem use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32.Find the elasticity of demand when p = $28. If the $28 price is decreased by 6%, what is the approximate percentage change
In Problem find y′ and the slope of the tangent line to the graph of each equation at the indicated point.exy - 2x = y + 1; (0, 0)
In Problem use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32.Find the elasticity of demand when p = $22. If the $22 price is decreased by 5%, what is the approximate percentage change
Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equationy3 - xy - x3 = 2where x = 1. Round all approximate values to two decimal places.
In Problem use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32.Find the elasticity of demand when p = $16. If the $16 price is increased by 9%, what is the approximate percentage change
In Problem use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32.Find all values of p for which demand is elastic.
The number x of fitness watches that an online retailer is willing to sell per week at a price of $p is given byx = 0.5p2 - 3p + 200Use implicit differentiation to find dp/dx.
In Problem use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32.Find all values of p for which demand is inelastic.
In Problem use graphical approximation methods to find the points of intersection of f(x) and g(x) (to two decimal places).f(x) = ex; g(x) = x4
In Problem find f′(x) and find the equation of the line tangent to the graph of f at x = 2. 2х - 5 f(x) 2х - 3
In Problem find f′(x) and find the value(s) of x where the tangent line is horizontal. f(x) %3D (2х + 5)2
In Problem find f′(x) and find the equation of the line tangent to the graph of f at x = 2.f(x) = (x - 2) ln x
The estimated salvage value S (in dollars) of a company airplane after t years is given byS(t) = 300,000 (0.9)tWhat is the rate of depreciation (in dollars per year) after 1 year? 5 years? 10 years?
In Problem give the domain of f, the domain of g, and the domain of m, where m(x) = f [g(x)].f(u) = √u; g(x) = ln x

Showing 1700 - 1800 of 3854

First
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Last

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Campus Ambassador

Company Info

Security
Copyrights
Privacy Policy
Terms & Condition
SolutionInn Fee
Scholarship

Services

Sitemap
Fun
Definitions
Become Tutor
Study Help Categories
Recent Questions
Expert Questions

Copyright © 2024 SolutionInn All Rights Reserved.

Get the SolutionInn - Study Help App