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
applied calculus

Questions and Answers of Applied Calculus

Solve the following equations for t.ln( ln 3t) = 0
When a drug or vitamin is administered intramuscularly (into a muscle), the concentration in the blood at time t after injection can be approximated by a function of the form f(t) = c(e-k1t - e-k2t).
Sketch the graphs of the following functions.y = e2x
Use logarithmic differentiation to differentiate the following functions.f (x) = 2x
Solve for t.e0.05t - 4e-0.06t = 0
Solve the following equations for t.3e2t = 15
Sketch the graphs of the following functions.y = 1 - ex
Use logarithmic differentiation to differentiate the following functions.f (x) = x√3
Solve for t.4e0.01t - 3e0.04t = 0
Solve the following equations for t.3et/2 - 12 = 0
Sketch the graphs of the following functions.y = ex/2
Use logarithmic differentiation to differentiate the following functions.f (x) = xx
Solve the following equations for t.2 ln t = 5
Sketch the graphs of the following functions.y = ex-1
Use logarithmic differentiation to differentiate the following functions.f (x) = x√x
Under certain geographic conditions, the wind velocity v at a height x centimeters above the ground is given by v = K ln(x/x0), where K is a positive constant (depending on the air density, average
Solve the following equations for t.2e- 0.3t = 1
Sketch the graphs of the following functions.y = -e-x + 1
Substantial empirical data show that, if x and y measure the sizes of two organs of a particular animal, then x and y are related by an allometric equation of the form ln y - k ln x = ln c, where k
Find k such that 2x = ekx for all x.
Sketch the graphs of the following functions.y = 2e-x
In the study of epidemics, we find the equation ln(1 - y) - ln y = C - rt, where y is the fraction of the population that has a specific disease at time t. Solve the equation for y in terms of t and
Find k such that 2-x/5 = ekx for all x.
Use logarithmic differentiation to differentiate the following functions. st x+5x + 1 I x [ + st 5 (x)ƒ
Calculate values offor small values of x, and use them to estimateWhat is the formula for 10% - 1 X
Graph y = ln 5x and y = 2 together and determine the x-coordinate of their point of intersection (to four decimal places). Express this number in terms of a power of e.
Set Y1 = ex and use your calculator’s derivative command to specify Y2 as the derivative of Y1. Graph the two functions simultaneously in the window [-1, 3] by [-3, 20] and observe that the graphs
Graph y = e2x and y = 5 together, and determine the xcoordinate of their point of intersection (to four decimal places). Express this number in terms of a logarithm.
(a) Graph y = ex.(b) Zoom in on the region near x = 0 until the curve appears as a straight line and estimate the slope of the line. This number is an estimate ofCompare your answer with the actual
Find values of k and r for which the graph of y = kxr passes through the points (2, 3) and (4, 15).
Graph the function y = ln(ex), and use trace to convince yourself that it is the same as the function y = x. What do you observe about the graph of y = eln x?
Determine the values of h and k for which the graph of y = hekx passes through the points (1, 6) and (4, 48).
Find the equation of the tangent line to the graph of y = ex at x = 0. Then, graph the function and the tangent line together to confirm that your answer is correct.
Use logarithmic differentiation to differentiate the following functions. f(x) = (x² + 5)6(x³ + 7)8(x4 + 9)¹0
Use logarithmic differentiation to differentiate the following functions. f(x) = bx, where b > 0
Use logarithmic differentiation to differentiate the following functions. f(x) = xVx
Use logarithmic differentiation to differentiate the following functions. f(x) = 2x
Use logarithmic differentiation to differentiate the following functions. 1+x x¹+ f(x) = x
Use logarithmic differentiation to differentiate the following functions. f(x) = 10x
Use logarithmic differentiation to differentiate the following functions. 2 f(x) = √x² + 5 et²
Use logarithmic differentiation to differentiate the following functions. f(x) = Xex V₁-3 x³ + 3
Use logarithmic differentiation to differentiate the following functions. f(x) = ·x√x + 1(x² + 2x + 3)² 4x²
Use logarithmic differentiation to differentiate the following functions. f(x) = ex+¹(x² + 1)x
Use logarithmic differentiation to differentiate the following functions. f(x) = exx²2x
The atmospheric pressure at an altitude of x kilometers is f (x) g/cm2 (grams per square centimeter), where f(x) = 1035e-0.12x. Give approximate answers to the following questions using the graphs of
The health expenditures (in billions of dollars) for a certain country from 1990 to 2010 are given approximately by f (t) = 27e0.106t, with time in years measured from 1990. Give approximate answers
Outline a method for locating the relative extreme points of a function.
Sketch the graphs of the following functions.f(x) = -x3
If f (25) = 10 and f′(25) = -2, estimate each of the following.(a) f(27)(b) f(26)(c) f(25.25) (d) f(24)(e) f(23.5)
Sketch the graph of a function that has the properties described.(-2, -1) and (2, 5) are on the graph; f′(-2) = 0 and f′(2) = 0; f′(x) > 0 for x < 0, f′(0) = 0, f′(x) < 0 for x
Use the approach of Exercise 77 to show thatfor any constant c.Exercise 77Draw two graphs of your choice that represent a function y = f (x) and its vertical shift y = f (x) + 3.Pick a value of x and
Figure 2 shows the graph of the function f(x) and its tangent line at x = 3. Find f (3), f′(3), and f″(3). 5 4 3 2 1 Figure 2 y = f(x) 2 3 4 5 תיו x
Each of the graphs of the functions in Exercises has one relative extreme point. Plot this point and check the concavity there. Using only this information, sketch the graph. [Recall that if f (x) =
Refer to the inventory problem of Example 2. If the distributor offers a discount of $1 per case for orders of 600 or more cases, should the manager change the quantity ordered?Example 2Suppose that
Find the positive values of x, y, and z that maximize Q = xyz, if x + y = 1 and y + z = 2. What is this maximum value?
The relationship between the area of the pupil of the eye and the intensity of light was analyzed by B. H. Crawford. Crawford concluded that the area of the pupil issquare millimeters when x units of
In Exercises, find dy/dx, where y is a function of u such thatState the answer in terms of x only.u = x3/2 dy U du +1 u²
Exercises refer to the graph in Fig. 3. List the labeled values of x at which the derivative has the stated property.f″(x) is negative. y Figure 3 a b I c d e y = f(x) X
Describe each of the following graphs. Your descriptions should include each of the six categories mentioned previously.
Exercises refer to the graph in Fig. 3. List the labeled values of x at which the derivative has the stated property.f′(x) is maximized. y Figure 3 a b I c d e y = f(x) X
Each of the graphs of the functions in Exercises has one relative extreme point. Plot this point and check the concavity there. Using only this information, sketch the graph. [Recall that if f (x) =
Starting with a 100-foot-long stone wall, a farmer would like to construct a rectangular enclosure by adding 400 feet of fencing, as shown in Fig. 7(a). Find the values of x and w that result in the
Consider a rectangle in the xy-plane, with corners at (0, 0), (a, 0), (0, b), and (a, b). If (a, b) lies on the graph of the equation y = 30 - x, find a and b such that the area of the rectangle is
There are $320 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $6 per foot and the fencing for the other three sides costs $2 per foot. [See
Sketch the graph of a function that has the properties described.(0, 6), (2, 3), and (4, 0) are on the graph; f′(0) = 0 and f′(4) = 0; f′(x) < 0 for x < 2, f′(2) = 0, f′(x) > 0 for
Sketch the graphs of the following functions.f(x) = x3 + 3x + 1
Describe each of the following graphs. Your descriptions should include each of the six categories mentioned previously.
Outline a method for locating the inflection points of a function.
Rework Exercise 11 for the case where only 200 feet of fencing is added to the stone wall.Exercise 11Starting with a 100-foot-long stone wall, a farmer would like to construct a rectangular enclosure
Figure 12(b) shows an open rectangular box with a square base. Consider the problem of finding the values of x and h for which the volume is 32 cubic feet and the total surface area of the box is
Describe each of the following graphs. Your descriptions should include each of the six categories mentioned previously. fi NA 1 X
Until recently hamburgers at the city sports arena cost $4 each. The food concessionaire sold an average of 10,000 hamburgers on a game night. When the price was raised to $4.40, hamburger sales
A rectangular corral of 54 square meters is to be fenced off and then divided by a fence into two sections, as shown in Fig. 7(b). Find the dimensions of the corral so that the amount of fencing
Sketch the graph of a function that has the properties described.f(x) defined only for x ≥ 0; (0, 0) and (5, 6) are on the graph; f′(x) > 0 for x ≥ 0; f′ (x) < 0 for x < 5,
Exercises refer to the graph in Fig. 3. List the labeled values of x at which the derivative has the stated property.f′(x) is minimized. y Figure 3 a b I c d e y = f(x) X
Each of the graphs of the functions in Exercises has one relative extreme point. Plot this point and check the concavity there. Using only this information, sketch the graph. [Recall that if f (x) =
Sketch the graphs of the following functions.f(x) = x3 + 2x2 + 4x
Refer to Exercise 13. If the cost of the fencing for the boundary is $5 per meter and the dividing fence costs $2 per meter, find the dimensions of the corral that minimize the cost of the
Outline a procedure for sketching the graph of a function.
Describe the way the slope changes on the graph in Exercise 6.Describe each of the following graphs. Your descriptions should include each of the six categories mentioned previously. y 10 H X
Each of the graphs of the functions in Exercises has one relative extreme point. Plot this point and check the concavity there. Using only this information, sketch the graph. [Recall that if f (x) =
Properties of various functions are described next. In each case, draw some conclusion about the graph of the function. g(1) = 5, g'(1) = -1
The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was raised to $52, attendance declined to an average of 3800 persons per
A large soup can is to be designed so that the can will hold 16π cubic inches (about 28 ounces) of soup. [See Fig. 14(b).] Find the values of x and h for which the amount of metal needed is as small
Sketch the graphs of the following functions. f(x)= x³2x² + x
Developers from two cities, A and B, want to connect their cities to a major highway and plan to build rest stops and gas stations at the highway entrance. To minimize the cost of road construction,
Simultaneously graph the functionsin the window [-6, 6] by [-6, 6]. Describe the asymptote of the first function. 1 y = =+ x and y = x X
Consider the problem of finding the dimensions of the rectangular garden of area 100 square meters for which the amount of fencing needed to surround the garden is as small as possible.(a) Draw a
Figure 14(a) shows a Norman window, which consists of a rectangle capped by a semicircular region. Find the value of x such that the perimeter of the window will be 14 feet and the area of the window
A swimming club offers memberships at the rate of $200, provided that a minimum of 100 people join. For each member in excess of 100, the membership fee will be reduced $1 per person (for each
A certain toll road averages 36,000 cars per day when charging $1 per car. A survey concludes that increasing the toll will result in 300 fewer cars for each cent of increase. What toll should be
Differentiate the functions in Exercises. y=(x+1)(x3+5x+2)
Differentiate the functions in Exercises. y = (-x^ + 2)| +2)( 2 1
Match each observation (a)–(e) with a conclusion (A)–(E).Observations(a) The point (3, 4) is on the graph of f′(x).(b) The point (3, 4) is on the graph of f (x).(c) The point (3, 4) is on the
Compute f(g(x)), where f(x) and g(x) are the following: f(x) = X T² 8(x) = x³ x + 1'
Compute f(g(x)), where f(x) and g(x) are the following: f(x)=x-1, g(x) = 1 x + 1
Suppose that the cost function in Exercise 45 is C(x) = -2.5x + 1, where x% is the index-fund fee. (The company has a fixed cost of $1 billion, and the cost decreases as a function of the index-fund
Let f (x) be the number of people living within x miles of the center of New York City.(a) What does f(10 + h) - f (10) represent?(b) Explain why f′(10) cannot be negative.
State the product rule and the quotient rule.
Compute f(g(x)), where f(x) and g(x) are the following: f(x) = x(x² + 1), g(x) = √x

Showing 4400 - 4500 of 5532

First
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
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