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Problem 1:
Find the following graphically:
1. c1 + c2
2. c1c2 (inner product)
3.
4.
Problem 2:
Solve the following system using A - column-space and output space:
2x1 = 3-x2 = 4
Problem 3:
Solve the following system using A-row-space and input space:
2x1 = 3x2 - 52x2 = 2 - 4x1
Problem 4:
A linear transformation is applied to the object on the left and we got the object on the right. Find the applied linear transformation matrix.
Problem 5:
Consider the following system of equations:
1. Find the unknown elements using the following information:
P
x
y
X
Y
1
0
10
2
30
3
20
4
5
2. Using the values form previous question, calculate (x , y) of ( X , Y, Z ) = (2, 2, 2).
Write a linear model which expresses number of people who purchase tickets (N) as a function of the price of a ticket (P). What is the physical meaning of the slope in this linear relationship?
If one gallon of paint has a volume of approximately 4000 cm3, what is the maximum number of whole gallons of paint that can be poured into the bucket?
A certain flight arrives on time 66 percent of the time. Suppose 106 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that exactly 75 flights are on time.
Find a linear function that fits the data for professional athletes in 1991 the salary was $278,000 and in 2001 the salary was $1,460,000.
The gas law for a fixed mass m of an ideal gas at absolute temperature T, pressure P, and volume V is PV=mRT, where R is the gas constant. Show that
With a tail wind, a plane flew 240 km in 45 minutes. With no change in the wind, the return trip took 48 min. Find the wind speed and the air speed of the plane.
What is the probability that he we pass the examination
A gardner plans to use 196 feet of fencing to enclose a garden. What is the largest possible area of the garden?
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
The current in a circuit is i = 2.00 cos 100t. Find the voltage across a 100-microfarad(uF) capacitor after 0.200 s, if the initial voltage is Zero (one microfarad(uF)=10 to the power of -6 F).
Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression.
the diameter of a car tire is 40cm and the diameter of a toy car tire is 18mm. find the ratio of the diameter of the
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