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7. Differentiate the function x = y ^ 4 - 2y ^ 3
8. Differentiate the function t = 1/2 * t ^ 4 - 5t - 3
9. Differentiate the function y = (x ^ 2 - 2) ^ 2
10. Differentiate the function y = 1/(x + 7)
11. Find the slope of function y = 1/(x ^ 2), 12, 1/4 12. Find the slope of function y^ 2 =4x.(1,2)
13. Find the slope of function y = 1/(x + 1), (- 2, 1)
class Matrix {2x2, 3x3 and 4x4 }private data members:
1. int **matrix
2. int row
3. int col
class public member functions:
1. Matrix (int n1, int n2, int n3, int n4, int row = 2, int col = 2)
2. Matrix (int n1, int n2, int n3, int n4, int n5, int n6, int n7, int n8, int n9, int row = 3,
int col = 3)
3. Matrix (int n1, int n2, int n3, int n4, int n5, int n6, int n7, int n8, int n9, int n10, int
n11, int n12, int n13, int n14, int n15, int n16, int row = 4, int col = 4)
4. Matrix(const Matrix &m)
5. ~Matrix()
6. int getRow()
7. int getCol()
8. int getValue(int row, int col)
9. void setValue(int row, int col, int value)
10. int Total()
11. double Average()
12. int RowTotal(int row)
13. int ColumnTotal(int col)
14. int HighestInRow(int row)
15. int LowestInRow(int row)
16. Matrix Transpose()
17. int LeftDiagonalTotal()
18. int RightDiagonalTotal()
19. Matrix Add(Matrix m)
20. Matrix Subtract(Matrix m)
21. Matrix Multiply(Matrix m)
22. int FindkSmallest(int k)
23. int FindkLargest(int k)
Consider the Given Reaction:
2BrF5=BR2+5F2
If the perspective equilibrium concentrations of BrF5,Br2,and F2 at 250 Celsius are 0.046M,1.2M,and O.93M, what are the values of kc and kp?
An installation technician for a specialized communication system is dispatched to a
city only when three or more orders have been placed. Suppose orders follow a
Poisson distribution with a mean of 0.25 per week for a city of 100,000 and suppose
your city contains a population of 800,000.
a) What is the probability that a technician is required after a one-week period?
b) If you are the first one in the city to place an order, what is the probability that you
have to wait more than two weeks from the time you place your order until a
technician is dispatched?
A local drugstore owner knows that, on average, 100 people enter his store each hour.
a) Find the probability that in a given 3-minute period nobody enters the store.
b) Find the probability that in a given 3-minute period more than 5 people enter the
store.
The number of telephone calls that arrive at a phone exchange is often modeled as a
Poisson random variable. Assume that on the average there are 10 calls per hour.
a) What is the probability that there are exactly 5 calls in one hour?
b) What is the probability that there are there are exactly 15 calls in two hours?
c) What is the probability that there are exactly 5 calls in 30 minutes?
Suppose that the number of customers that enter a bank in an hour is a Poisson
random variable, and suppose that π(π = 0) = 0.05. Determine the mean and
standard deviation of π.
Service calls come to a maintenance center according to a Poisson process, and on
average, 2.7 calls are received per minute. Find the probability that
a) no more than 4 call in any minute;
b) fewer than 2 calls come in any minute;
c) more than 10 calls come in a 5-minute period.
Potholes on a highway can be a serious problem, and are in constant need of repair.
With a particular type of terrain and make of concrete, past experience suggests that
there are, on the average, 2 potholes per mile after a certain amount of usage. It is
assumed that the Poisson process applies to the random variable βnumber of
potholes.β
a) What is the probability that no more than one pothole will appear in a section of
1 mile?
b) What is the probability that no more than 4 potholes will occur in a given section
of 5 miles?
The number of failures of a testing instrument from contamination particles on the
product is a Poisson random variable with a mean of 0.02 failure per hour.
a) What is the probability that the instrument does not fail in an 8-hour shift?
b) What is the probability of at least one failure in a 24-hour shift?
#339914 on Dec 2023