Solve the problem.Since the end of the Cold War, jobs in defense manufacturing and aerospace have disappeared as the U.S. government spends less on defense. Employments at Aerospace Tech for various years are listed in the table below.
Let L represent the employment (in thousands of people) at Aerospace Tech t years since 1922.i) Use your graphing calculator to create a scatterplot of the Aerospace Tech data. Then use your calculator to sketch the graph of the equation 
Which data point(s) are above the line?ii) Use the linear model to estimate when there were 35
thousand employees at Aerospace Tech.iii) Use the linear model to predict the number of employees at Aerospace Tech in 2032. Has model breakdown occurred?iv) What is the slope of the equation 
What does the slope tell you in terms of the employment at Aerospace Tech - be as specific and complete as you can be.v) Find the t-intercept. What does your result mean in terms of Aerospace Tech?vi) Find the L-intercept. What does your result mean in terms of Aerospace Tech?
What will be an ideal response?
| i) | (91, 25) |
iii) -23,420 employees; Model breakdown has occurred.
iv) -2.48; Employment decreases by 2480 people each year.
v) (100.56, 0); No one will be employed in 2023.
vi) (0, 249.38); Employment was 249,380 people in 1922.
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Find the particular solution to the given differential equation that satisfies the given conditions.D2y + 10 Dy + 21y = 0; Dy = 0 and y = 2 when x = 0
A. y = - 
e7x + 
e3x
B. y = - 
e-7x + 
e-3x
C. y = 
e-7x - 
e-3x
D. y = 
e7x + 
e3x
Complete the identity.csc2 x sec x = ?
A. sec x + csc x B. sec x - csc x cot x C. sec x + csc x cot x D. csc x cot x - sec x
Use the unit circle to find all values of ? between 0 and 2? for which 
.
What will be an ideal response?
Multiply and simplify any radicals in your answer. Assume that all variables represent positive real numbers.(5x
)(5
)
A. 100x2
B. 75x2
C. 75x
D. 100x