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# Study Guides for Mathematics at University of California - Irvine

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Mathematics
MATH 2A
Liu, W

Mathematics
MATH 2A
JESSIE, D.

Mathematics
MATH 2D
Aghavni Simonyan
##### MATH 2B Study Guide - Final Guide: Cubic Function, Alternating Series, Alternating Series Test 24HR

University of California Irvine MATH 2B SingleVariable Calculus Winter 2018 Final Exam Exam Guide

Mathematics
MATH 2B
All Professors
##### MATH 2B Study Guide - Midterm Guide: Quotient Rule, Product Rule, Antiderivative 24HR

University of California Irvine MATH 2B SingleVariable Calculus Winter 2018 Term Test Exam Guide

Mathematics
MATH 2B
All Professors
##### MATH 2B Midterm: MATH2B, Chapter 5.3 term test 1 24HR

Indefinite Integral and Net Change Theorem Section 5.4 Recall: () definite integral o The result that we get from this definite integral is a number From that number, we can get Net area Limit of Riemann Sums Net change FT...

Mathematics
MATH 2B
All Professors
##### MATH 2B Midterm: MATH2B, Chapter 6.1 term test 1 24HR

Volumes Section 6.2 Volume How would you take the 3D volume of a 2D function? Rotate it around a line Example 1 How would you take the volume of the area of y = 2 2 x, x axis and y axis around the xaxis? What would it look...

Mathematics
MATH 2B
All Professors
##### MATH 2B Study Guide - Midterm Guide: Formula D 24HR

Areas and Distances Section 5.1 Typically seen questions Given the graph, what is the distance travelled Between 1 and 4 pm? In total? (from t = 0 to t = 5) So we know that the graph shows the relationship between velocity...

Mathematics
MATH 2B
All Professors
##### MATH 2B Midterm: MATH2B, Chapter 6 term test 1 24HR

Area Between Curves Section 6.1 Find the Area of the Region What we want to do is take the integral, which would give us the area under the curve However, if we were to take the integral of g(x) or f(x) only, you wouldnt q...

Mathematics
MATH 2B
All Professors
##### MATH 2B Midterm: MATH2B, Chapter 6.2 term test 1 24HR

What is the Area Under the Curve? Its the sum of the area of infinite rectangles under the function What is the area of each rectangle? f(x)x Therefore b Area = a f(x)dx What then, is the volume of the area under the curve...

Mathematics
MATH 2B
All Professors
##### MATH 2B Study Guide - Fall 2018 Midterm Notes - Tanx, Udu 24HR

Average Value Section 6.5 Think about the equation for average speed The average speed is the average speed you are at in the time that you traverse a certain distance s(b) s(a) distance Avg. Speed = ba = time We can ignor...

Mathematics
MATH 2B
All Professors
##### MATH 2B Study Guide - Midterm Guide: 4Dx 24HR

Definite Integral Section 5.2 Find area of y = f(x) between a x b b Shortened: f()dx a Examples 3 2x 2 dx 1 You can either take the area after graphing it out, or take the antiderivative (integral) directly x 2x The antide...

Mathematics
MATH 2B
All Professors
##### MATH 2B Midterm: MATH2B, Chapter 5.2 term test 1 24HR

Fundamental Theorem of Calculus Section 5.3 Integral b 2 3x dx a Solving for integral example ba b x = n = n Solve for x b kb xk= 0 + k = n n Solve for x k 3b (k ) f(xk) = n2 Solve for f(x ) k n 3b k2 b lim ( n2 )(n) n k=1...

Mathematics
MATH 2B
All Professors
##### MATH 2B Study Guide - Fall 2018 Midterm Notes - Udu, Tanx 24HR

Substitution Section 5.5 Review What is the chain rule? Take the derivative of f(x) = sin(x ) f (x) = cos(x ) 2x * Undoing the chain rule Is harder to recognize when to undo the chain rule when finding the integral Instead...

Mathematics
MATH 2B
All Professors
##### MATH 2B Study Guide - Midterm Guide: Good Luck!! 24HR

Mathematics
MATH 2B
All Professors
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