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For each function below find all critical points, x- and y- intercepts. Apply first and second derivative tests. Indicate the intervals over which the graph is increasing ii) decreasing iii) concave up iv) concave down.
a. y=x^3-12x^2+45x only one zero at(0,0)
b. y=x^4-8x^2+7 zeros at (2.6,0),(-1, 0), (1, 0), (2.6, 0)
c. y=x^5+80x^2 zeroes at (-4.3, 0) and (0, 0)
Poisson Distribution: Birth-Death Process. The McDougal Sandwich Shop has two windows available for serving customers, who arrive at a Poisson rate of 40/hr. Service time is exponentially distributed with a mean of 2 min.
use excel to perform polynomial interpolation on the given data and try to figure out the degree of the polynomial
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
Royal furntiture bought a sofa for $800. The sofa had a $1440 list price. What was the trade discount rate Royal received? Round answer to nearest hundredth percent.
Solve the system using elementary row operations on the equations of the augmented matrix. Follow the systematic elimination proceedure.
Suppose that you purchased (randomly select) 3 laptops from a production run of 10 laptops. Of the 10 laptops, 9 are destined to last at least two years without needing a single repair
cubic feet which is open on top and which is twice as long as it is wide. find the dimensions of the box produced from the minimum amount of material
Find the cost of 20 grams of lead at $60 per kg.
in a study to compare the effects on physical performance of different types of food consumed prior to exercise an
assuming no loss of speed,what is the velocity of the particle after the ricochet? simplify your answer.
Suppose that you have 1800m of fencing with which to build three adjacent rectangular corrals. Find the dimensions so that the total enclosed area is as large as possible.
A bag contains 16 red marbles and 10 blue marbles. If two marbles are chosen at random, what is the probability of getting two red marbles?
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