Homework Help: calculus

Posted by Help asap!! plz on Thursday, October 7, 2010 at 3:53pm.

Hi,
I am lost on couple of problems and i was wondering if you could just help me out with them.

1. Find and classify the points of discontinuity of the function F(x) = (x^2+7x+12)/(x^3-9x)

now for this problem i know there is going to be an infinite discontinuity because of the asymptotes, but at what points? is it going to be at x=3 x=-3 x=0 OR since after factoring top and bottom the result is (x+4)/x(x-3) so is it going to be just x=0 x=3

Also, how does canceling after factoring affect the graph; does that mean there is going to be a hole (and a removable discontinuity)? I kind of forgot this from precalculus.

2. Find all points where the tangent line to y=x^3-6x+12 has slope -1.

-lost on this one

3. Use the table below, which shows values of f(x) for x near 2, to find the slope of a secant line that is an estimate for f '(2)
x 1.8 1.9 2.0 2.1 2.2
f(x) 2.24 2.27 2.30 2.33 2.37

4. F(x) = x^2 if x<1
4-kx if x >or equal to 1

For the value of k, is f(x) differentiable at x=1? explain your answer

got 3 for the value of k

calculus (#2of 4) - drwls, Thursday, October 7, 2010 at 7:39pm
Your chances of getting questions answered promptly, or at all, greatly improve if you post them one at a time. Many of the volunteers here do no have time to answer four questions of this complexity in one sitting.

Let's consider question #2:

The slope to the tangent line of a function f(x) is f'(x) = df/dx

Thus you want to know where
f'(x) = 3x^2 -6 = -1
3x^2 = 5
x = +or- sqrt(5/3)
= +1.291 or -1.291

Answer this Question

Related Questions

English - Hi we had to write a poem for english class, i was wondering if mine ...
math-grd 11 - what do they mean by sine regression? i am currently working on ...
calculus 2 - Find the volume of the solid formed by rotating the region ...
Calculus - f(x) = 6(cos(x))^2 - 12sin(x) 0 ¡Ü x ¡Ü 2(PI) I...
Literature - I was wondering if someone could help me find information on the ...
calculus - Can someone help me understand how to find the derivative of these ...
Physics - *I am lost on a bunch of different problems, and this is one of them. ...
Physics - *I am lost on a bunch of different problems, and this is one of them. ...
Calculus Quiz Today - 1. find the values of s for which each function is ...
Computers - The Romance World Cruise Line provides special gifts for passengers ...

For Further Reading

First Name:
School Subject:
Answer: