# Download Bob Miller's High School Calc for the Clueless - Honors and by By (author) Bob Miller PDF

By By (author) Bob Miller

**With Bob Miller at your facet, you by no means must be clueless approximately math back! **

Algebra and calculus are difficult on highschool scholars such as you. Professor Bob Miller, with greater than 30 years' educating event, is a grasp at making the complicated basic, and his now-classic sequence of Clueless learn aids has helped tens of hundreds of thousands comprehend the harsh subjects.

Calculus-with its integrals and derivatives-is recognized for tripping up even the fastest minds. Now Bob Miller-with his 30-plus years' adventure educating it-presents highschool calculus in a transparent, funny, and fascinating way.

**Read Online or Download Bob Miller's High School Calc for the Clueless - Honors and AP Calculus AB & BC PDF**

**Best popular & elementary books**

**Petascale computing: algorithms and applications**

Even supposing the hugely expected petascale desktops of the close to destiny will practice at an order of value speedier than today’s fastest supercomputer, the scaling up of algorithms and functions for this category of pcs continues to be a tricky problem. From scalable set of rules layout for large concurrency toperformance analyses and medical visualization, Petascale Computing: Algorithms and purposes captures the state-of-the-art in high-performance computing algorithms and purposes.

With an analogous layout and have units because the marketplace best Precalculus, 8/e, this concise textual content offers either scholars and teachers with sound, constantly based reasons of the mathematical options. PRECALCULUS: A CONCISE path is designed to supply an economical, one-semester substitute to the conventional two-semester precalculus textual content.

Algebra and Trigonometry

Atomic correlations were studied in physics for over 50 years and often called collective results till lately after they got here to be famous as a resource of entanglement. this is often the 1st booklet that includes special and accomplished research of 2 at the moment broadly studied matters of atomic and quantum physics―atomic correlations and their kin to entanglement among atoms or atomic systems―along with the latest advancements in those fields.

- L'arithmétique amusante
- Precalculus Reproducibles
- Precalculus: An Investigation of Functions
- The Concept of Rights
- Precalculus, 4th Edition
- Mathematical cranks

**Additional resources for Bob Miller's High School Calc for the Clueless - Honors and AP Calculus AB & BC **

**Example text**

F(x ϩ ⌬x) Ϫ f(x) 6x ⌬x ϩ 3(⌬x)2 ϩ 4⌬x ϭ ϭ 6x ϩ 3⌬x ϩ 4 ⌬x ⌬x fr(x) ϭ lim (6x ϩ 3 ⌬x ϩ 4) ϭ 6x ϩ 4 ⌬x S 0 If f(x) ϭ 3x2 ϩ 4x Ϫ 5 were a curve, the slope of the tangent line at any point on the curve would be found by multiplying the x value by 6 and adding 4. The Basics EXAMPLE 3 CONTINUED— Find the slope of the tangent line to the curve f(x) ϭ 3x2 ϩ 4x Ϫ 5 at the point (3, 34). The slope m ϭ 6x ϩ 4 ϭ 6(3) ϩ 4 ϭ 22. E X A M P L E 3 C O N T I N U E D, C O N T I N U E D — Find the equation of the line tangent to f(x) ϭ 3x2 ϩ 4x Ϫ 5 at the point (3, 34).

And |y Ϫ L| Ͻ ε means L Ϫ ε Ͻ y Ͻ L ϩ ε. Given ε Ͼ 0, if we take any x value such that 0 Ͻ |x Ϫ a| Ͻ ␦, the interval on the x axis, and find the corresponding y ϭ f(x) value, then this y value must be within ε of L, that is, |f(x) Ϫ L| Ͻ ε. 13 14 BOB MILLER’S HIGH SCHOOL CALCULUS FOR THE CLUELESS N OT E The point (a, L) may or may not be actually there, depending on the function. But remember, we are only interested in values of x very, very close to a but not exactly at a. Take a smaller ε2; we can find ␦2 such that if 0 Ͻ |x Ϫ a| Ͻ ␦2, then |f(x) Ϫ L| Ͻ ε2.

Now take smaller and smaller positive ε’s; we can find smaller and smaller ␦’s. In the limit as the x circle shrinks to a, the f(x) circle shrinks to L. Read this a number of times!!! TRANSLATION 3 Let us see the real picture. y ϭ f(x). |x Ϫ a| Ͻ ␦ means a Ϫ ␦ Ͻ x Ͻ a ϩ ␦. And |y Ϫ L| Ͻ ε means L Ϫ ε Ͻ y Ͻ L ϩ ε. Given ε Ͼ 0, if we take any x value such that 0 Ͻ |x Ϫ a| Ͻ ␦, the interval on the x axis, and find the corresponding y ϭ f(x) value, then this y value must be within ε of L, that is, |f(x) Ϫ L| Ͻ ε.