Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,637

Homework:

What is the slope of the tangent line to the graph of y = x^3 at the point (2,8) ?

12

Consider the parabola given by the equation y = x^2 + 4x - 5. At which point on the graph of this parabola is the slope of the tangent line equal to 10?

(3,16)

The line y = 2x - 9 is tangent to the parabola y = x^2 + ax + b at the point (4,-1). What are the values of a and b?

-3,-6 respectively.

circle with equation x^2 + y^2 = 25. Which is the equation of the tangent line to the circle at the point (3,4)?

3x + 4y = 25

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 91,482

First one is correct!

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,637

Eureka!

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

The second one is correct. The third one isn't.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,637

Eureka, and why?

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,637

a=-3 and b=-6

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 91,482

Fourth one is correct!

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,637

Eureka again. More discoveries then Archimedes.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 91,482

He was a great mathematician.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

I moght be wrong, but I am getting -6 and 7 in #3.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 91,482

You are correct!

**In mathematics, you don't understand things. You just get used to them.**

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,637

Oh, my apologies. dy/dx = 2x + a so...

Offline

Pages: **1**