Open Question: Find all the zeros of the polynomial function?
-x³ - 4x + x^4 + 2x² - 8 = 0
-x(x² + 4) + (x² - 2)(x² + 4) = 0
(x² + 4)(x² - 2 - x) = 0
(x² + 4)(x² - x - 2) = 0
(x² + 4)(x - 2)(x + 1) = 0
Finally, by zero-product property:
x² + 4 = 0 and x - 2 = 0 and x + 1 = 0
x² = -4 and x = {2,-1}
x = ±v-4 and x = {-1,2}
x = {-1, 2, ±2i}
I hope this helps!
Open Question: find dp/dq for function P^2q=4p-3?
P^2q=4p-3
2*p(dp/dq)*q + p^2 = 4(dp/dq)
now get dp/dq on one side:
p^2 = 4(dp/dq) - 2*p*q(dp/dx)
p^2 = (dp/dq) (4 - 2pq)
p^2 /(4 - 2pq) = dp/dq
dp/dq = p^2 /(4 - 2pq)
Open Question: How does the active length-force relate to the function of the heart as a whole?
Open Question: Math sinusoidal function help?
P(t)=5000sin[30(t-7)]+8000, where t is the number of months after Jan. 1
When is the population about 10000?
Open Question: Integral of piecewise function?
Plus, the limits of integration have no distinction between "=" and "<"...nor do they have any distinction between "=" and ">".
If you really want to be more comfortable, you can do the integration from 0 to 1 of f(x) = 3, and THEN add it to the integral of f(x) = 6 for integrating from 1+h to 2.
Then take the limit as h approaches zero. What do you get? You get exactly what you would get if you never even thought about what h is.
Integral of f(x)=3 from 0 to 1 = 3
Integral of f(x)=6 from 1+h to 2 = 6*(2 - (1 + h)) = 6*(1 - h)
Add them up:
3 + 6*(1 - h)
Now, take the limit as h approaches zero. What do you get? Why 3+6 of course, which equals 9. And that is exactly what you would get if you never thought about h.
To show you, suppose:
h=0.1...then 3+6*(1-h) = 8.4
h=0.01...then 3+6*(1-h) = 8.94
h=0.001...then 3+6*(1-h) = 8.994
h=0.0001...then 3+6*(1-h) = 8.9994
Open Question: the cost function for a product is C(x)= .4x^2 + 200x + 180 find average cost over [0,250]?
C(250) - C(0) divided by 2.
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Open Question: for the harmonic motion of the trigonometric function, find a) maximum displacement, b.) the frequency?
1.) d = 1/2 cos20pi t
Open Question: Find the range of the function. function help?
f (x) = 2 - x for the domain (-1,0,2)
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Open Question: How do you find the power series representation for the following function?
f(x)=x^2 / ( (1-2x)^2 )
Thank you for any help
Open Question: Determine the verticle and horizontal asymptotes of the graph of the given function?
Open Question: The graph of the function F(x)=-(x-5)^3 is concave upward in what interval?
F'(x) = -3(x-5)^2
F''(x) = (-3)(2)(x-5)
F''(x) = -6(x-5)=0
x=5 is a point of inflection
Test for concavity:
Consider the intervals (-8 ,5), (5, 8)
choose any one point from each of the intervals.
if F''(x) < 0 , F(x) is concave down on that interval
if F''(x) > 0 , F(x) is concave up on that interval
F''(x)= -6(x-5)
(-8 ,5): choose x=1; F''(1)=24 > 0, f is concave up on (-8 ,5):
(5, 8): choose x=6; F''(1)=-6 < 0, f is concave down on (5, 8):
F is concave up on (-8 ,5):
Open Question: what function is this? g(x) = sqrt(9 − x^2)?
Alex Member since:April 01, 2011Total points:95 (Level 1)It's a combination of one or more of these: power function, root function, polynomial function, rational function, algebraic function, trigonometric function, exponential function, logarithmic functionAnswer Question
by Rockit Member since:March 08, 2011Total points:2,618 (Level 4)
Open Question: how to express a polynomial as a linear function?
express h(x) as a linear product of two factors?
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Open Question: Is this function Quadratic?
A) Yes
B) No
C) it can be written in the form y = ax2 + bx + c
D) it can NOT be written in the form y = ax2 + bx + c
Pleaseeee help me with this?
Open Question: differentiate the following function?
Open Question: How do you differentiate the following function?
I managed to get the answer [(3/2)x^(3/2) - x^(1/2)] / x but I'm unsure if it's right. Can anyone tell me whether I'm correct or not.
Thanks in advance. :)
Open Question: A population of bacteria is growing according to the function below, where t is in hours.?
Coll Member since:March 07, 2011Total points:43 (Level 1)A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 1,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.B(t) = 50 *e0.5tAnswer Question
by taylor-a... Member since:April 27, 2009Total points:969 (Level 2)If you have a graphing calculator, plug the equation into the y=.Expand your window so that you can see the population (probably the y axis) untill you can see 1000. Some cushion would be helpful so make the window a little bigger.
Plug 1000 into the y= also and find where the line intersects your function.
(If you didn't know, the e is above the divide symbol on the calculator.)
I hope this helps.
