New Semester
Started
Get
50% OFF
Study Help!
--h --m --s
Claim Now
Question Answers
Textbooks
Find textbooks, questions and answers
Oops, something went wrong!
Change your search query and then try again
S
Books
FREE
Study Help
Expert Questions
Accounting
General Management
Mathematics
Finance
Organizational Behaviour
Law
Physics
Operating System
Management Leadership
Sociology
Programming
Marketing
Database
Computer Network
Economics
Textbooks Solutions
Accounting
Managerial Accounting
Management Leadership
Cost Accounting
Statistics
Business Law
Corporate Finance
Finance
Economics
Auditing
Tutors
Online Tutors
Find a Tutor
Hire a Tutor
Become a Tutor
AI Tutor
AI Study Planner
NEW
Sell Books
Search
Search
Sign In
Register
study help
mathematics
precalculus
Calculus Of A Single Variable 11th Edition Ron Larson, Bruce H. Edwards - Solutions
The circumference of the equator of a sphere is measured as 10 cm with a possible error of 0.4 cm. This measurement is used to calculate the radius. The radius is then used to calculate the surface area and volume of the sphere. Estimate the percentage errors in the calculated values ofa. The
To find the height of a lamppost (see accompanying figure), you stand a 6 ft pole 20 ft from the lamp and measure the length a of its shadow, finding it to be 15 ft, give or take an inch. Calculate the height of the lamppost using the value a = 15 and estimate the possible error in the result. h 20
Evaluate the definite integral using the values below. -6 "6 [~ ³ dx = 320, [²x dx = 16, [*dx = 4 2 2
Evaluate the definite integral using the values below. -6 "6 [~ ³ dx = 320, [²x dx = 16, [*dx = 4 2 2
Evaluate the definite integral using the values below. -6 "6 [~ ³ dx = 320, [²x dx = 16, [*dx = 4 2 2
Evaluate the definite integral. Use a graphing utility to verify your result. (π/2 J-π/2 (2t + cos t) dt
Evaluate the definite integral using the values below. -6 "6 [~ ³ dx = 320, [²x dx = 16, [*dx = 4 2 2
Find the area of the given region.y = x - x2 −14 y 1 X
Find the area of the given region.y = cos x 1 y 4 IN 2
Evaluate the definite integral using the values below. -6 "6 [~ ³ dx = 320, [²x dx = 16, [*dx = 4 2 2
Find the area of the given region.y = 1/x2 1 y I 2 X
Find the area of the given region.y = x + sin x 4 3 2 y la 2 X
Find the particular solution of the differential equation that satisfies the initial condition(s).g′(x) = 4x2, g(−1) = 3
A function f is defined below. Use geometric formulas to find ∫80 f (x) dx. f(x)= = (4, x < 4 lx, x ≥ 4
(a) Use a graphing utility to graph a slope field for the differential equation,(b) Use integration and the given point to find the particular solution of the differential equation, and(c) Graph the particular solution and the slope field in the same viewing window.dy/dx = 2x, (−2, −2)
Find the particular solution of the differential equation that satisfies the initial condition(s). h′(x) = 7x6 + 5, h(1) = −1
The graph of the derivative of a function is given. Sketch the graphs of two functions that have the given derivative. To print an enlarged copy of the graph, go to MathGraphs.com. -2 -1 2 1 y -2 -² + 12 x
Use the graph of f′ shown in the figure to answer the following. (a) Approximate the slope of f at x = 4. Explain.(b) Is f(5) − f(4) > 0? Explain.(c) Approximate the value of x where f is maximum. Explain.(d) Approximate any open intervals on which the graph of f is concave upward and any
Find the area of the region bounded by the graphs of the equations.y = 5x2 + 2, x = 0, x = 2, y = 0
A function f is defined below. Use geometric formulas to find ∫120 f (x) dx. f(x) : = 6, x6 -x + 9, x 6
Find the particular solution of the differential equation that satisfies the initial condition(s). f ″(x) = 3x2, f′(−1) = −2, f(2) = 3
Find the area of the region bounded by the graphs of the equations.y = x3 + 6x, x = 2, y = 0
Find the area of the region bounded by the graphs of the equations.y = 1 + 3√x, x = 0, x = 8, y = 0
Find the area of the region bounded by the graphs of the equations.y = 2√x - x, y = 0
The graphs of f and f′ each pass through the origin. Use the graph of f ″ shown in the figure to sketch the graphs of f and f′. To print an enlarged copy of the graph, go to MathGraphs.com. -4 -2 4 2 -2 -4 f 2 4
Use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region.y = 25 − x2, [1, 4]
Use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region.y = 3x − 2, [2, 5]
Use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region.y = 5x2 + 1, [0, 2]
Use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region.y = 27 - x3, [1, 3]
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value.f (x) = 4 - x2, [-2, 2]
The functionis defined on [0, 1], as shown in the figure. Show thatdoes not exist. Does this contradict Theorem 4.4? Why or why not? THEOREM 4.4 0, x = 0 f(x) = 1 I >x>0
Use a graph to explain why ∫aa f (x) dx = 0, if f is defined at x = a.
Use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region.y = x2 - x3, [-1, 1]
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. "b "b [ * [f(x) + g(x)] dx = = [°² f(x) dx + [². g(x) dx
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. • dx = [ f* f(x) dx ] [ [ * 8(x) dx] [*f(x)g(x) dx =
Describe two ways to evaluate ∫31 (x + 2) dx.Verify that each method gives the same result.
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value.f (x) = x4 + 7, [0, 2]
Use a graph to explain why ∫ba kf (x) dx = k ∫ba f (x) dx, if f is integrable on [a, b] and k is a constant.
Use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region.y = 2x3 - x2, [1, 2]
Use the limit process to find the area of the region bounded by the graph of the function and the y-axis over the given y-interval. Sketch the region.y = 3y - y2, 2 ≤ y ≤ 3
Consider an n-sided regular polygon inscribed in a circle of radius r. Join the vertices of the polygon to the center of the circle, forming n congruent triangles (see figure).(a) Determine the central angle θ in terms of n.(b) Show that the area of each triangle is 1/2 r2 sinθ.(c) Let An be the
Find the constants a and b, where a || [ ₁ (x − 4) dx = So |x - 4| dx = 20. 16 and
The area A between the graph of the functionand the t-axis over the interval [1, x] is(a) Find the horizontal asymptote of the graph of g.(b) Integrate to find A as a function of x. Does the graph of A have a horizontal asymptote? Explain. g(t) = 4 4
Consider a particle moving along the x-axis, where x(t) is the position of the particle at time t, x′(t) is its velocity, and x″(t) is its acceleration.x(t) = t3 − 6t2 + 9t − 2, 0 ≤ t ≤ 5(a) Find the velocity and acceleration of the particle.(b) Find the open t-intervals on which the
Find F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2.F(x) = ∫x-π sinθ dθ
An experimental vehicle is tested on a straight track. It starts from rest, and its velocity v (in meters per second) is recorded every 10 seconds for 1 minute (see table).(a) Use a graphing utility to find a model of the form v = at3 + bt2 + ct + d for the data.(b) Use a graphing utility to plot
Show that the functionis constant for x > 0. (1/x x 1 1 = S² R² + ₁ ² + ² + ₁ ² dt 1 dt 1 0 f(x) =
Use the Second Fundamental Theorem of Calculus to find F'(x). ) - f₁ √t csc t dt F(x) =
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The value of ∫ba f (x) dx must be positive.
What is the value of n?(a)(b) 11 Σ i=1 5(5 + 1) 2
A function is continuous, nonnegative, concave upward, and decreasing on the interval [0, a]. Does using the right endpoints of the subintervals produce an overestimate or an underestimate of the area of the region bounded by the function and the x-axis?
Explain why the Midpoint Rule almost always results in a better area approximation in comparison to the endpoint method.
Does the Midpoint Rule ever give the exact area between a function and the x-axis? Explain.
What are the index of summation, the upper bound of summation, and the lower bound of summation for 8 Σ ( – 4)? i=3
(a) Integrate to find F as a function of x,(b) Demonstrate the Second Fundamental Theorem of Calculus by differentiating the result in part (a).F(x) = ∫x4 t3/2 dt
Find the function f (x) and all values of c such that f* f(t) dt = x² + x - 2.
Letwhere f is continuous for all real t. Find(a) G(0),(b) G'(0),(c) G''(x), (d) G''(0). G(x) = S[$ f* 0 f(1) f(t) dt ds
Evaluate the definite integral. Use a graphing utility to verify your result. S²₁ -1 (7-3t) dt
A teacher places n seats to form the back row of a classroom layout. Each successive row contains two fewer seats than the preceding row. Find a formula for the number of seats used in the layout.
Evaluate, if possible, the integral ∫20 [[x]] dx.
Evaluate the definite integral. Use a graphing utility to verify your result. (6x² – 3x) dx
Why isconsidered an accumulation function? - 5.50 F(x) = f(t) dt
Find the general solution of f′(x) = −2x sin x2.
Evaluate the definite integral. Use a graphing utility to verify your result. L (2t - 1)² dt
Evaluate the definite integral. Use a graphing utility to verify your result. 3 [² (1/2-1) dx
Evaluate the definite integral. Use a graphing utility to verify your result. L₁ -1 (1²5) dt
Write a definite integral that represents the area of the region. f(x) = x2 TT 4 3 نیا 2 y 2 نیا X
Write a definite integral that represents the area of the region. f (x) = 25 - x2 15 10 5 4 -6 -4 -2 У + 246
Evaluate the definite integral. Use a graphing utility to verify your result. JI (8x³ - x) dx
What does it mean for a function F to be an antiderivative of a function f on an interval I?
Write a definite integral that represents the area of the region. f (x) = 4/ x2 + 2 - 1 1 y 1 X x=
Evaluate the definite integral. Use a graphing utility to verify your result. [(u - 12/2) du -2
Evaluate the definite integral. Use a graphing utility to verify your result. 8 -8 x¹/3 dx
Explain how to find the area of a region using a definite integral in your own words.
Evaluate the definite integral. Use a graphing utility to verify your result. Sus Ju u-2 du
Write a definite integral that represents the area of the region. (Do not evaluate the integral.)f (x) = cos x y 4 2 X
Evaluate the definite integral. Use a graphing utility to verify your result. 8. La X ax
Write a definite integral that represents the area of the region. (Do not evaluate the integral.)g(y) = y3 4 3 2 1 y 2 4 6 8 00
Evaluate the definite integral. Use a graphing utility to verify your result. x - √√x 3 S = dx
Evaluate the definite integral. Use a graphing utility to verify your result. 1 -1 (√1 - 2) dt
Evaluate the definite integral. Use a graphing utility to verify your result. 5²66- (6-1) √t dt
Find the indefinite integral and check the result by differentiation.∫(9x8 − 2x − 6) dx
Evaluate the definite integral. Use a graphing utility to verify your result. Co J-1 G (11/3 - 12/3) dt
Evaluate the definite integral. Use a graphing utility to verify your result. |2x - 5| dx
Evaluate the definite integral. Use a graphing utility to verify your result. -1 x-x² -8 23√x dx
Evaluate the definite integral. Use a graphing utility to verify your result. xp |6 - zx| 4 Jo -
Evaluate the definite integral. Use a graphing utility to verify your result. 10 |x² - 4x + 31 dx
Evaluate the definite integral. Use a graphing utility to verify your result. [₁² (3 (3 - x - 3) dx
Find the indefinite integral and check the result by differentiation.∫1/x5 dx
Evaluate the definite integral. Use a graphing utility to verify your result. So Jo (sin x-7) dx
Evaluate the definite integral. Use a graphing utility to verify your result. * /4 10 1 - sin20 0 -502 ᎾᏢ -
Sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral (a > 0, r > 0).∫40 x dx
Find the indefinite integral and check the result by differentiation.∫(2 − 3/x10) dx
Evaluate the definite integral. Use a graphing utility to verify your result. St (2 + cos x) dx
Evaluate the definite integral using the values below. -6 "6 [~ ³ dx = 320, [²x dx = 16, [*dx = 4 2 2
Sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral (a > 0, r > 0).∫4-3 9 dx
Evaluate the definite integral using the values below. -6 "6 [~ ³ dx = 320, [²x dx = 16, [*dx = 4 2 2
Evaluate the definite integral. Use a graphing utility to verify your result. n/4 sec²0 tan²0 + 1 -de
Evaluate the definite integral. Use a graphing utility to verify your result. π/2 S Jπ/4 (2 - csc²x) dx
Evaluate the definite integral. Use a graphing utility to verify your result. 9/1J -π/6 sec² x dx
Showing 12900 - 13000
of 29454
First
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
Last
Step by Step Answers
Get 50% OFF
Claim Now
