HomeStudy Guides420,000CA160,000

[MATH 2X03] - Midterm Exam Guide - Everything you need to know! (16 pages long)

278 views16 pages

5 Oct 2016

School

McMaster University

Department

Course

Professor

Dmitry Pelinovsky

For unlimited access to Study Guides, a Grade+ subscription is required.

Document Summary

Review : definite integral fabflx )dx f[ a. ,b] |r piecewise continuous with finitely many jump singularities on. :b x ; x at xo c x c. xn , ; }pw a grid of (n +1 ) points. Imagine a dense grid where maxhc with n intervals xj , 5. & flx ;) ( x x ytstxl i%) x overestimate. D on x oe ; en x ; T g- stx : ,s %; x underestimate toxdx = tsxsh; { (x. gl ; aextb ctytd } ftx ,y) : r -0113 d - [ fdflx , g) dxdy - tiny ,km. , flxi. , y;) ( xi xi g y , Definition : f of is called integrate on r it the limit does not depend on grid points and evaluations f. ,xi] [y ; xp , )(y ; y ; ,y ; )=(dx);( by ), is the volume of the box.

Related textbook solutions

Calculus

ISBN: 9781319050733

Single Variable Calculus: Early Transcendentals

4th Edition, 2018

ISBN: 9781337687805

CALCULUS:EARLY TRANSCENDENTALS

ISBN: 9781319050740

Related Documents

Calculus 1000A/B Lecture Notes - Lecture 39: Classification Of Discontinuities, Piecewise

ENGTECH 1MT3 Lecture Notes - Lecture 6: Multiple Integral, Centroid, Paraboloid

yellowleopard940

MATH 2400 Lecture Notes - Lecture 12: Riemann Sum, Multiple Integral, Contour Line

amethystgnat297

Related Questions

Solve all please.

INSTRUCTIONS: There are 15 problems on this exam, and each problem is worth 13 points, plus 5 points for writing down an approximate volume of the planet Earth in cubic miles at the bottomleft corner of page 3, for a total possible 200 points. For this exam, you are allowed to use one 8.5"X11" sheet of notes (both sides, in your own handwriting), pencil, eraser, ruler, scratch paper and calculator. Even though the questions are multiple-choice, you need to show enough work to justify your answer in order to receive full credit. After you have determined the correct solution to each problem, write the letter corresponding to your answer in the appropriate space on the right side of the page AND circle your answer. If your answer does not agree with any of the choices, after double-checking your work, choose option E) and prominently mark your answer (box, circle, underline, etc.). Time limit: Two hours. Attach (i.e. staple) any notecard and scratch paper to the rear of this exam paper. Good luck! MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. The northern third of Indiana is a rectangle measuring 96 miles by 132 miles. Thus, let D = [0, 96] times [0,132]. Assuming that the total annual snowfall (in inches), S(x,y), at (x,y) euro D is given by the function S(x,y) = 60e-0.001 (2x + y) with (x,y) euro D, find the average snowfall on D. 51.14 inches 52.06 inches 51.78 inches 52.44 inches Evaluate the work done between point 1 and point 2 for the conservative field F. Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. Evaluate the surface integral of G over the surface S. S is the portion of the cone Find the flux of the vector field F across the surface S in the indicated direction. Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. Integrate the function f over the given region. f(x,y) = 1/ln x over the region bounded by the x-axis, line x = 9, and curvey y = ln x Reverse the order of integration and then evaluate the integral Use a double integral in polar coordinates to find the area of the region specified in polar coordinates. the region inside both r = 7 sin Theta and r = 7 cos Theta Use spherical coordinates to find the volume of the indicated region. the region bounded above by the sphere x2 + y2 + z2 = 25 and below by the cone z = Find the center of mass of the rectangular solid of density (x,y,z) = xyz defined by 0 LE x LE 8, Use the given transformation to evaluate the integral. where R is the parallelogram bounded by the lines y = 8x + 8, y = 8x +9, y = -6x + 2, y = -6x +7 Evaluate the line integral along the curve C. Find the work done by F over the curve in the direction of increasing t.