Class Notes for Mathematics at University of Hawaii at Manoa

Ex) find 130 lot 30 dy

A company want 10 mare cans with volum l,000. What raaiu ant neight shovd the we to mm mite announ material us assume the chape of the car a cuinder circumference therefore Tr t Tr? 2Trh Since given the volume contraint 1,...

op s pants dis ontinuous 0 roduct rule 0.123 0, 2 f(0) e (x24, 4x12) inflection point x 21,12

f (y) Sin X 20in 0 find cntical points wheresec is not defined or decrio sec2x not defined when caux 20 but if you replaced x for Th, mh, 3mh, would never reach zero o find inarea e decrease creo ing ina eosing x 0 if defi...

find derivati chain rule Ex y sin la tan U 2 d Ctanj COS (X sinx x cot(x2)

Exo) tan 0 nd derivative Seazx find where dctanx1 has non olution so the only critica pontv are Cor 0 increasing f s 1 increasing COST thug, there is no ma min because o tra line Gropr fan x

the outer th Isn't (ex) ,which Is function and inner isx remember du Ex5) y x use, quotient rule. (e): Ex b) rule et ttet eu where Treat ex as fax-1) 50"

This Guide provides an easy to follow summary of all basic principles that are the foundation to Statistics and Probabilities. Using a combination of charts and sample equations, the key concepts are developed and the esse...

This advanced Calculus Guide provides assistance to the user through its articulation of key Derivatives principles. Helpful tips to solve exponential and logarithmic functions are featured.

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CCalculus Integrals II INTEGRALS INVOLVING a+bu & p+qu ...

This comprehensive Guide provides concrete reference materials in three math fundamentals – Algebra, Calculus, and Trigonometry. Helpful sample equations and rules are the backbone to this Guide

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Differential Calculus Differential Calculus ...

permacht asrTM integral Calculus theorems types of iNtegrals averaGe value Theorem ...

This useful Math Guide is a specific reference for techniques to convert ordinary differential equations to algebraic equations. Helpful charts and summaries are used to convey information such as exponential, square root,...

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CConductors & Semiconductors BASICS TERMS Conductor Valence and conduction bands for electr...

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Metric System ...

This more advanced Guide builds upon the reference material set out in the Introductory Algebra Guide. Linear equations, polynomial equations and complex numbers are readily explained; clear and easy to follow emphasis is ...

This Guide provides a concise and very readable summary of all key Algebraic principles. Special attention is directed to terminology, laws, and operations, with practical examples developed as illustration of these princi...

permacharts TM Geometry Geometry QUADRILATERALS CIRCLES & CONICS...

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Weights & Measures THE U.S./IMPERIAL SYSTEM OF MEASUREMENTS ...

Vectors are an important area of study that develops naturally from a basic understanding of physics and is subsets – statics, dynamics, and mechanics. This practical Guide provides assistance in an often complex disciplin...

permacharts TM F u n d a m e n t a lP h y s ic a lC o n s t a n t s General Constants Quantity...