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Q1. In this problem,
f(x) = 5x - x2 - 6
For polynomial function find the following:
(a) Degree of the polynomial
(b) All x intercepts
(c) The y intercept.
Q2. For rational function -
f(x) = (x + 2/x - 2)
(a) Find the intercept for the graph.
(b) Determine the domain.
(c) Find any vertical or horizontal asymptotes for the graph.
(d) Sketch any asymptotes as dashed lines. Then sketch a graph of y = f(x) for - 10 ≤ x ≤ 10 and -10 ≤ y ≤ 10.
Q3. Find the equation of any horizontal asymptote.
f(x) = x4 + 2x2 + 1/1 - x5
Q4. Find the equation of any vertical asymptotes.
f(x) = (x2 - x - 6/x2 - 3x - 10).
A spherical weather balloon is being inflated. Beginning at 11 cm, the radius of the balloon is increasing at the rate of 2 cm per second. Express the surface area of the balloon as a function of time (in seconds).
Suppose that Y1 , Y2 , . . . , Yn constitute a random sample from a normal distribution with unknown mean μ and known variance σ 2 . We wish to test H0 : μ = μ0 against Ha : μ > μ0 for a specified constant μ0 . Find the uniformly most powerful tes..
Consider all triangles formed by lines passing through the point (8/9, 3) and both the x-and y-axes. Find the dimensions of the triangle with the shortest hypotenuse.
Evaluate the type of conic from the given equation - Indicate which type of conic each of the following represents.
An open rectangular box is to be constructed from material that costs $12/ft2 for the bottom and $10/ft2 for its sides. Find the dimensions of the box of greatest volume that can be constructed for $81.
1.Data from the Motor Vehicle Department indicate that 80% of all licensed drivers are older than age 25. a. In a sample of n=60 people who recently received speeding tickets, 38 were older than 25 years and the other 22 were age 25 or younger. Is th..
Find residues of the function below at indicated points: [(cos z -1)/z]^2 z0 = 0
The homework submissions to the university computer center start at midnight(00:00). The number of homework submissions between midnight and any time t > 0afterwords is distributed Poisson with mean λt, where λ > 0 is some constant. Let T be thetime ..
I get the critical points are(0,0) and(-2^1/5, 4^1/5). Then I get det(0,0)=2 and det(-2^1/5, 4^1/5)=-10, so index of the system is -8 and the index of periodic orbit is 1, so there's no periodic orbit.
write a rational expression for his average speed. 2) On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
a square garden plot measures 125 square feet. a second garden plot measures 245 square feet. how many for feet of fence will the second garden plot require?
If Tom Bombadil's house is 30 miles east of Hobbiton and 16 miles south, what is the straight line distance (omit units)?
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