Mathematics - 2 October 2007

Let f(x)=

x^2 if x≤-1
A|x|-1 if -1 x^3-Bx+1 if x ≥1

1. Assume that A=B=1. Where does f(x) fail to be continuous?
2. For which values of A and B is f(x) everywhere continuous?
3. With A and B found in (2), where does f(x) fail to be differentiable?

Can someone explain how to do this? Thanks.

2007-10-02 04:04:29 · 1 answers · asked by yefimthegreat 1

If a= i + 3j + k, and b= i + 10j + k. What is i, j,k?

2007-10-02 03:34:49 · 1 answers · asked by garrett m 1

that is orthogonal to the plane through the points P = (3, -3, 0), Q = (5, -1, 2), and R = (5, -1, 6).

2007-10-02 03:31:08 · 2 answers · asked by garrett m 1

A line touches a circle X^2+Y^2=2, and the parabola Y^2=8X. show that its equation is Y=X+2

2007-10-02 02:44:31 · 1 answers · asked by pjd_0501 2

2007-10-02 02:19:49 · 8 answers · asked by PETER M 1

A cellular phone manufacturer randomly selects 5 of every 50 phones from the assembly line and tests them. If at least 4 out of 5 pass inspection, the batch of 50 is considered acceptable. Fine the probability that a batch of 50 phones is considered acceptable given the following additional information:

1. the batch of 50 phones contains 2 defectives
2. the batch contains no defectives

for number 1, I got .21
number 2 I got .311
Is this right??

2007-10-02 02:08:37 · 2 answers · asked by k_artiaco 1

The line AC is perpendicular to the line AB.

1) find the gradient of AC
2)find the equation of line AC
3) given that point c lies on the x-axis find its x coordinate

Line AB HAS EQUATION 3X +4Y =7
A coordinates (1,1)
B coordinates (5,-2)
and midpoint (3,-0.5)

2007-10-02 02:07:25 · 3 answers · asked by Anonymous

Please explain to me which number u canceled out first...and show the work.

A.) 5/7 + 3 = 215/7

B.) -8 + 3x = 5x - 24

2007-10-02 01:13:38 · 3 answers · asked by blessed 1

Find the rational zeros of the polynomial function if they exist. If possible, find the other zeros. Then write the equation in factored form.

A) P(x) = x^3 - x^2 - 4x - 2

B) P(x) = 2x^3 -3x^2 -7x - 6



Please show short solutions. Thank you so much in advance!

2007-10-02 01:01:42 · 2 answers · asked by Anonymous

Plot a point corresponding to z = -3 + 4i in the complex plane and then write an expression in z polar form.

2007-10-02 00:04:36 · 4 answers · asked by Anonymous