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

Result Not Found

Books FREE
Study Help
Tutors
AI Study Planner NEW
Sell Books

Search
Sign In
Register

study help
mathematics
calculus 10th edition

Calculus 10th Edition Ron Larson, Bruce H. Edwards - Solutions

In Exercises find the indefinite integral by using substitution followed by integration by parts. [x xsex² dx
In Exercises find the indefinite integral by using substitution followed by integration by parts. e√2x dx
In Exercises use the tabular method to find the integral. S x²(x - 2)³/² dx
In Exercises find the indefinite integral by using substitution followed by integration by parts. sin sin √x dx
In Exercises find the indefinite integral by using substitution followed by integration by parts. √₂ 2x³ cos x² dx
Use the graph of ƒ'shown in the figure to answer the following.(a) Approximate the slope of ƒ at x = 2. Explain.(b) Approximate any open intervals in which the graphof ƒ is increasing and any open intervals in which itis decreasing. Explain. 4 3 نرا y 2- 1 f'(x) = x ln x - X 2 3 ننا 4
Integrate(a) By parts, letting(b) By substitution, letting x3 √4 + x² dx
Integrate(a) By parts, letting(b) By substitution, letting X /4 - x dx
Integration by Parts State whether you would use integration by parts to evaluate each integral. If so, identify what you would use for u and dv. Explain your reasoning.(a)(b)(c)(d)(e)(f) In x X xp.
In Exercises use integration by parts to prove the formula. S₁ x" cos x dx = x" sin x - nf xª n xn-1 sin x dx
(a) Integration by parts is based on what differentiation rule? Explain.(b) In your own words, state how you determine which parts of the integrand should be u and dv.
In Exercises use a computer algebra system to find the integrals for n = 0, 1, 2, and 3. Use the result to obtain a general rule for the integrals for any positive integer n and test your results for n = 4. x" In x dx
When evaluating ∫x sin x dx,explain how letting u = sin x and dv = x dx makes thesolution more difficult to find.
In Exercises use a computer algebra system to find the integrals for n = 0, 1, 2, and 3. Use the result to obtain a general rule for the integrals for any positive integer n and test your results for n = 4. S x"ex dx
In Exercises use integration by parts to prove the formula. S x" sin x dx +n√x²-1 -x" cos x + n xn-1 cos x dx
In Exercises use integration by parts to prove the formula. eax sin bx dx = eax(a sin bx b cos bx) a² + b² + C
In Exercises use integration by parts to prove the formula. x" ln x dx xn+1 (n + 1)² [− 1 + (n + 1) ln x] + C
In Exercises find the integral by using the appropriate formula from Exercises. x² sin x dx
In Exercises use integration by parts to prove the formula. xneax dx xneax a n S a xn-1 eax dx
In Exercises use integration by parts to prove the formula. Se eax cos bx dx = eax(a cos bx + b sin bx) a² + b² + C
In Exercises find the integral by using the appropriate formula from Exercises. [1³ x³e²x dx
In Exercises find the integral by using the appropriate formula from Exercises. Se-xx e-3x sin 4x dx
In Exercises find the integral by using the appropriate formula from Exercises. S₁ x² cos x dx
In Exercises find the integral by using the appropriate formula from Exercises. x5 ln x dx
In Exercises use a graphing utility to graph the region bounded by the graphs of the equations. Then find the area of the region analytically. y 1 xe3r, y=0, x=0, x = 2 10
In Exercises find the integral by using the appropriate formula from Exercises. S e2x cos 3x dx
In Exercises use a graphing utility to graph the region bounded by the graphs of the equations. Then find the area of the region analytically. = 0, y = 0, x = 3 y = 2xe x, y
In Exercises use a graphing utility to graph the region bounded by the graphs of the equations. Then find the area of the region analytically. y = ex sin mx, y=0, x=1
In Exercises use a graphing utility to graph the region bounded by the graphs of the equations. Then find the area of the region analytically. y = x³ In x, y = 0, x = 1, x = 3
A damping force affects the vibration of a spring so that the displacement of the spring is given byFind the average value of y on the interval from t = 0 to t = π. y = e-4t (cos 2t + 5 sin 2t).
In Exercises verify the value of the definite integral, where n is a positive integer. S TT x² cos nx dx = (-1)" 4T n²
A model for the ability M of a child to memorize, measured on a scale from 0 to 10, is given bywhere t is the child’s age in years. Find the average value of this model(a) Between the child’s first and second birthdays.(b) Between the child’s third and fourth birthdays. M = 1 + 1.6t In t, 0 <
Present Value In Exercises find the present value P of a continuous income flow of c(t) dollars per year for where t1, is the time in years and r is the annual interest ratecompounded continuously. Se P = c(t)e-rt dt
Present Value In Exercises find the present value P of a continuous income flow of c(t) dollars per year forwhere t1, is the time in years and r is the annual interest rate compounded continuously. P = c(t)e-rt dt
A string stretched between the two points (0, 0) and (2, 0) is plucked by displacing the string h units at its midpoint. The motion of the string is modeled by a Fourier Sine Series whose coefficients are given byFind bn. =nf ₁² x x sin b₁ = h NTTX 2 dx + h (-x + 2) sin NTTX 2 dx.
Given the region bounded by the graphs of y = ln x, y = 0, and x = e, find(a) The area of the region.(b) The volume of the solid generated by revolving the region about the x-axis.(c) The volume of the solid generated by revolving the region about the y-axis.(d) The centroid of the region.
Given the region bounded by the graphs of y = x sin x, y = 0, x = 0, and x = π, find(a) The area of the region.(b) The volume of the solid generated by revolving the region about the x-axis.(c) The volume of the solid generated by revolving the region about the y-axis.(d) The centroid of the
In Exercises verify the value of the definite integral, where n is a positive integer. TT [. S x sin nx dx 2π n 2πT n n is odd n is even
Find the centroid of the region bounded by the graphs of ƒ(x) = x², g(x) = 2X, x = 2, and x = 4.
In Exercises consider the differential equation and repeat parts (a)–(d) of Exercises 94.Data from in Exercises 94(a) Use integration to solve the differential equation.(b) Use a graphing utility to graph the solution of the differential equation.(c) Use Euler’s Method with h = 0.05 and the
In Exercises consider the differential equation and repeat parts (a)–(d) of Exercises 94.Data from in Exercises 94(a) Use integration to solve the differential equation.(b) Use a graphing utility to graph the solution of the differential equation.(c) Use Euler’s Method with h = 0.05 and the
Give a geometric explanation of whyVerify the inequality by evaluating the integrals. π/2 6.5¹²x = x sin x dx ≤ *π/2 x dx.
Find the area bounded by the graphs of y = x sin x and y = 0 over each interval.(a) [0, π] (b) [π, 2π](c) [2π, 3π]Describe any patterns that you notice. What is the area between the graphs of y = x sin x and y = 0 over the interval [nπ, (n + 1)π], where n is any nonnegative integer?
Find the fallacy in the following argument that 0 = 1.So, 0 = 1. dv = dx n || X V 1 = f dx = x du = = 1 + = dx +[dv xp zx - dx 0+ -1 dr - (1) (x) - J (-12) (x) dx S(- X dx
In Exercises use a computer algebra system to graph the slope field for the differential equation and graph the solution through the specified initial condition. dy dx 0.8y, y(0) = 4
In Exercises use a computer algebra system to graph the slope field for the differential equation and graph the solution through the specified initial condition. dy dx = 5 - y, y(0) = 1
In Exercises find the indefinite integral. 1 (x - 1)√4x²8x+3 =dx
In Exercises find the indefinite integral. 1 x² - 4x + 9 +9dx
In Exercises a differential equation, a point, and a slope field are given. (a) Sketch two approximate solutions of the differential equation on the slope field, one of which passes through the given point. (b) Use integration to find the particular solution of the differential equation
In Exercises evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 1- ln In X x dx
In Exercises evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. S xex dr
In Exercises evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. *8 2x √x² + 36 dx
In Exercises evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 2x + 3x - 2 X dx
In Exercises evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 7 S 10 1 100 - x² dx
In Exercises state the integration formula you would use to perform the integration. Explain why you chose that formula. Do not integrate. 1 i? +1 dx
Let R be the area of the region in the first quadrant bounded by the parabola y = x² and the line y = cx, c > 0. Let T be the area of the triangle AOB. Calculate the limit T lim c0+ R →0
Graph the curveUse a computer algebra system to find the surface area of the solid of revolution obtained by revolving the curve about the y-axis. 8y² = x²(1x²).
Let L be the lamina of uniform density p = 1 obtained by removing circle A of radius r from circle B of radius 2r (see figure).(a) Show that Mx, = 0 for L.(b) Show that My, for L is equal to (My, for B) - (My, for A).(c) Find My, for B and My, for A. Then use part (b) to compute My, for L.(d) What
Let R be the region bounded by the parabola y = x - x² and the x-axis. Find the equation of the line y = mx that divides this region into two regions of equal area. y=x-x² y = mx X
A hole is cut through the center of a sphere of radius r (see figure). The height of the remaining spherical ring is h. Find the volume of the ring and show that it is independent of the radius of the sphere. h r
The graph of y = ƒ(x) passes through the origin. The arc length of the curve from (0, 0) to (x, ƒ(x)) is given byIdentify the function ƒ. s(x) = L₁ VT 10 √1 + et dt.
(a) A torus is formed by revolving the region bounded by the circleabout the y-axis (see figure). Use the disk method to calculate the volume of the torus.(b) Use the disk method to find the volume of the general torus when the circle has radius and its center is R units from the axis of rotation.
A rectangle R of length ℓ and width w is revolved about the line L (see figure). Find the volume of the resulting solid of revolution. L d R l W
Principle states that the upward or buoyant force on an object within a fluid is equal to the weight of the fluid that the object displaces. For a partially submerged object, you can obtain information about the relative densities of the floating object and the fluid by observing how much of the
(a) The tangent line to the curve y = x³ at the point A(1, 1) intersects the curve at another point B. Let R be the area of the region bounded by the curve and the tangent line. The tangent line at B intersects the curve at another point C (see figure). Let S be the area of the region bounded by
Using a Function Let ƒ be rectifiable on the interval [a, b], and let(a)(b) Find ds and (ds)².(c) Find s(x) on [1, 3] when ƒ(t) = t³/2.(d) Use the function and interval in part (c) to calculate s(2) and describe what it signifies. s(x) = · So ✓1 + [f'(t)]² dt.
Find the work done by each force F.(a)(b) 4 3 2 y F 1 2 3 4 5 6
In Exercises find the consumer surplus and producer surplus for the given demand [p1,(x)] and supply [p2(x)] curves. The consumersurplus and producer surplus are represented by the areasshown in the figure. od P Consumer surplus Point of equilibrium Producer surplus Supply curve Xo (xo,
In Exercises find the consumer surplus and producer surplus for the given demand [p1,(x)] and supply [p2(x)] curves. The consumer surplus and producer surplus are represented by the areas shown in the figure. od P Consumer surplus Point of equilibrium Producer surplus Supply curve Xo (xo,
In Exercises select the correct antiderivative.(a)(b)(c)(d) dy dx X x² + 1
A swimming pool is 20 feet wide, 40 feet long, 4 feet deep at one end, and 8 feet deep at the other end (see figures). The bottom is an inclined plane. Find the fluid force on each vertical wall. 8 ft 20 ft 8 Ay M 10 + 20 40 ft (40, 4) 30 40 4 ft 8-y X
In Exercises select the correct antiderivative.(a)(b)(c)(d) dy dx || 1 x² + 1 X
Sketch the region bounded on the left by x = 1, bounded above by y = 1/x³, and bounded below by y = -1/x³.(a) Find the centroid of the region for 1 ≤ x ≤ 6.(b) Find the centroid of the region for 1 ≤ x ≤ b.(c) Where is the centroid as b → ∞?
In Exercises select the correct antiderivative.(a)(b)(c)(d) dy dx = x cos(x² + 1)
Sketch the region to the right of the y-axis, bounded above by y = 1/x4, and bounded below byy = -1/x4.(a) Find the centroid of the region for 1 ≤ x ≤ 6.(b) Find the centroid of the region for 1 ≤ x ≤ b.(c) Where is the centroid as b → ∞?
In Exercises select the correct antiderivative.(a)(b)(c)(d) dy dx || X +1
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. (5x - 3)4 dx
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. Si 2t + 1 - dt 1² +1-4
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. 1 √x (1 – 2 √x) dx
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. 2 (2t - 1)² + 4 dt
Two identical semicircular windows are placed at the same depth in the vertical wall of an aquarium. Which is subjected to the greater fluid force? Explain.
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. [s sec 5x tan 5x dx
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. 3 是 dt 1 - 1²
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. S (cos x)esin x dx
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. - 2x x² - 4 dx
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. t sin t² dt
In Exercises find the indefinite integral. s 14(x - 5)6 dx
In Exercises find the indefinite integral. 5 (t + 6)³ dt
In Exercises find the indefinite integral. 7 (z - 10)7 dz
In Exercises select the basic integration formula you can use to find the integral, and identify and when appropriate. 1 x√√x² - 4 = dx
In Exercises find the indefinite integral. v + (3v 1 1)³ dv
In Exercises find the indefinite integral. [B/F+Td 1³√ √14 + 1 dt
In Exercises find the indefinite integral. x + 1 3x² + 6x dx
In Exercises find the indefinite integral. SI 4x 2 (2x + 3)² dx
In Exercises find the indefinite integral. 1² - 3 -1³ + 9t + 1 dt
In Exercises find the indefinite integral. S ex 1 + ex dx
In Exercises find the indefinite integral. ( 3) 1 2x + 5 1 2x – 5 dx
In Exercises find the indefinite integral. 13 x² x - 1 dx
In Exercises find the indefinite integral. (5 + 4x²)² dx
In Exercises find the indefinite integral. 3x x + 4 dx

Showing 5600 - 5700 of 9867

First
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
Last

Step by Step Answers

Services

Sitemap
Fun
Definitions
Become Tutor
Used Textbooks
Study Help Categories
Recent Questions
Expert Questions
Campus Wear
Sell Your Books

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship
Online Quiz
Give Feedback, Get Rewards

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Student Discount
Campus Ambassador

Secure Payment

Download Our App

© 2026 SolutionInn. All Rights Reserved