Single Variable Calculus
8th Edition
ISBN: 9781305266636
Author: James Stewart
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter B, Problem 50E
Sketch the region in the xy-plane.
50. {(x, y) | y > 2x − 1}
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Find the antiderivative for each function when C equals 0. Check your answers by differentiation.
2
(a) h(x) =
3x
-
1
3
2
-
4
dy+,
-
3
3
(c) k(x) =
X
(b) g(x) = 3x
(a) H(x) =
(b) G(x) =
(c) K(x) =
find integral of curves dx/(x + y) = dy/(x + y) = dz/−(x + y + 2z)
Consider the integral
X
-dx with n = 4.
a. Find the trapezoid rule approximations to the integral using n and 2n subintervals.
b. Find the Simpson's rule approximation to the integral using 2n subintervals.
c. Compute the absolute errors in the trapezoid rule and Simpson's rule with 2n subintervals.
a. What is the trapezoid approximation with n subintervals?
T(4)=(Round to six decimal places as needed.)
What is the trapezoid approximation with 2n subintervals?
T(8) = (Round to six decimal places as needed.)
b. What is the Simpson's rule approximation with 2n subintervals?
S(8)=(Round to six decimal places as needed.)
c. What is the error in the trapezoid rule approximation with 2n subintervals?
(Round to six decimal places as needed.)
What is the error in the Simpson's rule approximation with 2n subintervals?
(Round to six decimal places as needed.)
Chapter B Solutions
Single Variable Calculus
Ch. B - Find the distance between the points. 1. (1, 1),...Ch. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Show that the points (2, 9), (4, 6), (1, 0), and...Ch. B - (a) Show that the points A(1, 3), B(3, 11), and...Ch. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Prob. 29ECh. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Prob. 38ECh. B - Prob. 39ECh. B - Prob. 40ECh. B - Prob. 41ECh. B - Prob. 42ECh. B - Prob. 43ECh. B - Prob. 44ECh. B - Prob. 45ECh. B - Prob. 46ECh. B - Prob. 47ECh. B - Prob. 48ECh. B - Prob. 49ECh. B - Sketch the region in the xy-plane. 50. {(x, y) | y...Ch. B - Prob. 51ECh. B - Prob. 52ECh. B - Prob. 53ECh. B - Prob. 54ECh. B - Prob. 55ECh. B - Find the lengths of the medians of the triangle...Ch. B - Prob. 57ECh. B - Prob. 58ECh. B - Prob. 59ECh. B - Prob. 60ECh. B - (a) Show that if the x- and y-intercepts of a line...Ch. B - A car leaves Detroit at 2:00 pm, traveling at a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- 00 fe Suppose that the probability that a particular computer chip fails after t = a hours of operation is 0.00004 0.00004 dt. a a. Find the probability that the computer chip fails after 16.000 hr of operation (that is, the chip lasts at least 16,000 hr). b. Of the chips that are still in operation after 16,000 hr, what fraction of these will operate for at least another 16,000 hr? c. Evaluate 0.00004 Se -0.000041 dt and interpret its meaning. a. The probability that the chip fails after 16,000 hr of operation is (Round to three decimal places as needed.) b. The fraction that will still be operating for at least another 16.000 hr is (Round to three decimal places as needed.) c. Choose the correct answer below. OA. The probability that the chip never fails is 0.00004 -0.00004t dt= OB. The probability that the chip eventually fails is 0.00004 S 0.00004 dt = dt= -0.000041 dt= OC. The probability that the chip fails immediately is 0.00004 OD. There is not enough information to interpret…arrow_forwardFind the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x-5) and the x-axis on the interval (5,7] is revolved about the x-axis. Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. OA. The volume is cubic units. (Type an exact answer.) OB. The volume does not exist.arrow_forwardUse the reduction formulas in a table of integrals to evaluate Sx³e 3 18x dx. Click here to view basic integrals. Click here to view trigonometric integrals. Click here to view √x³e 18x dx = ☐arrow_forward
- Evaluate the following integral using trigonometric substitution. 2√√3 x² √16-x - dx What substitution will be the most helpful for evaluating this integral? A. x=4 sec 0 OB. x=4 sin 0 OC. x=4 tan 0 Rewrite the given integral using this substitution. 2√√3 X 2 dx= de 0 √16-x (Type exact answers.) Evaluate the integral. 2√3 0 2 x² √16-x 2 dx = (Type an exact answer.)arrow_forwardUse the following three identities to evaluate sin sx cos tx = sin sx sin tx = COS Sx cos tx = 1 S sin (s+t)x + sin (s-t)x] sin 14x cos 11x dx. [cos (s+t)x- cos (s-t)x] 2[cos (s+t)x + cos(s-t)x] S sin 14x cos 11x dx = ☐arrow_forwardEvaluate the following integral. [11 2x 2x sin 11 sin x cos x dx √11 sin 11 sin 2x cos 2x dx = ☐arrow_forward
- Evaluate the following integral using trigonometric substitution. X dx √36+x 2 X √36+x 2 dx = (Type an exact answer. Use parentheses to clearly denote the argument of each function.)arrow_forwardINTEGRAL CALCULUS TAKE HOME 1. Find the location of the centroid of the area bounded by y2 = 9x and y = 3x. 2. Find the average value of the function f(x)= 2x + 14 on the interval [-7, 7]. 3. Find the volume of the solid formed by revolving the area bounded by the parabola y² = 9x and the line y = 3x about the y- axis. f 4. Evaluate the integral 22+5x-14 5. Evaluate the integral fodx. dx. 6. Determine the length of x=4(3+y)² from y = 1 to y=4. 7. Determine the volume of the solid obtained by rotating the region bounded by y = x²-6x+9 and y=-x²+6x-1 about the line x = 8. -G 8. A force of F(x) = x²- cos(3x)+2, where x is in meters, acts on an object. What is the work required to move the object from x=3 tox=7? 9. Calculate the work done in pumping out the water filling a hemispherical reservoir 5 m deep. 10. Find the moment of inertial with respect to y-axis of the area bounded by the parabola x²== 8y, the line x = 4, and the x-axis on the first quadrant.arrow_forwardDefine lagrange equation and then find f(x^2+y^2+z^2-4, xy/z) = 0arrow_forward
- what is a function that has a domain of all real numbers, lim as x approaches from the right does not exist, and the limit as x appraoches from the left is 8arrow_forwardThe conical tank shown here is filled with olive oil weighing 43 lb/ft³. How much work does it take to pump all of the oil to the rim of the tank? W = ft-lb (Round to the nearest whole number as needed.) 10-y y=2x or x = my (5,10)arrow_forwardUse any method to evaluate the integral. 363 dw w² √121-w² 363 dw w² √ 121-w² ☐ (Type an exact answer, using radicals as needed.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Introduction to Triple Integrals; Author: Mathispower4u;https://www.youtube.com/watch?v=CPR0ZD0IYVE;License: Standard YouTube License, CC-BY