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Create a program to code the bisection method. Use the example f(x) = x3 – 3x – 4 with your left starting value of 1 and your right starting value of 3. Your program should end when |fmid|

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Create a program to code the bisection method. Use the example f(x) = x3 – 3x – 4 with your left starting value of 1 and your right starting value of 3. Your program should end when |fmid| < TOL where TOL = 0.01. Count how many times it took for the bisection to run before it finishes with your answer.To evaluate f(x) you must use a function call.

PMAP 4041: Problem Set 3
Grading: This assignment is worth a total of 34 points (5% of your overall grade).
Question 1: Please answer the following questions based on the information in Table 1.Table 1 shows the regression with grade and a set of dummy variables representing people’s race. Race would be five values: whites, Asians, blacks, Hispanic, and Indians.
    Table 1 Coefficientsa
    Model
    Unstandardized Coefficients
    Standardized Coefficients
    t
    Sig.
    
    B
    Std. E
o
    Beta
    
    
    1
    (Constant)
    10.082
    .121
    
    83.238
    .000
    
    asian
    -.437
    .599
    -.022
    -.730
    .466
    
    black
    -2.168
    .275
    -.245
    -7.880
    .000
    
    hispanic
    -1.144
    .482
    -.073
    -2.371
    .018
    
    indian
    -1.847
    .802
    -.071
    -2.304
    .021
    a. Dependent Variable: grade
1. What is the regression equation (2 points)
2. What is the reference group? (2 points)
3. Interpret the y-intercept (2 points)
4. Interpret the regression coefficient on Hispanic(2 points)
5. Interpret the regression coefficient on Asian(2 points)
Question 2: Please answer the following questions based on the information in Table 2.
Male is coded with 1 = male and 0 = female; white is coded with 1= white, and 0 = racial/ethnic minorities.
    Table 2 Coefficientsa
    Model
    Unstandardized Coefficients
    Standardized Coefficients
    t
    Sig.
    
    B
    Std. E
o
    Beta
    
    
    1
    (Constant)
    7.405
    .204
    
    36.260
    .000
    
    male
    2.213
    .197
    .328
    11.232
    .000
    
    white
    1.462
    .221
    .193
    6.604
    .000
    a. Dependent Variable: grade
1. What is the regression equation(2 points)
2. Interpret the y-intercept (2 points)
3. What is the expected grade for female whites?(1 point)
4. What is the expected grade for male whites?(1 point)
5. What is the expected grade for male minorities?(1 point)
6. Interpret the regression coefficient on male(2 points)
7. Interpret the regression coefficient on white(2 points)
(Bonus) Does the equation generate a line or several points? If it generates several points, how many points specifically for this question?(2 points)
2

Math 1342 – Calc 2 – Homework Chapter XXXXXXXXXXNAME:________________





Math 1342 – Calc 2 – Homework Chapter XXXXXXXXXXNAME:________________
§4.1 Approximating Polynomials #1-3, 7-11, 15, 16, 20










Math 1342 – Calc 2 – Homework Chapter XXXXXXXXXXNAME:________________






Math 1342 – Calculus XXXXXXXXXXHomework Ch XXXXXXXXXXNAME:_______________________
4.3 E
or in Approximation (1st day) #1, 2, 5, 13, 21




Math 1342 – Calculus XXXXXXXXXXHomework Ch XXXXXXXXXXNAME:_______________________
Answered 45 days After Jun 05, 2021

Solution

Shivam answered on Jul 21 2021
143 Votes
1. ∫ ∞
0
dx
(2x+ 5)2
=
[
(2x+ 5)−2+1
−1× 2
]∞
0
=
[
1
−2(2x+ 5)
]∞
0
lim
t→∞
[
1
−2(2x+ 5)
]t
0
= lim
t→∞
[
1
−2(2t+ 5)
− 1
−10
]
= 0 +
1
10
=
1
10
2. ∫ ∞
1
dy
(4y − 3)1/2
=
[
(4y − 3)−1/2+1
1/2× 4
]∞
1
=
[√
4y − 3
2
]∞
1
lim
t→∞
[√
4y − 3
2
]t
1
= lim
t→∞
[√
4t− 3
2
− 1
2
]
We can clearly see that above limit diverges to ∞. Hence the integral does not converge.
3. ∫ ∞
0
Sin(z)dz =
[
Cos(z)
]∞
0
= lim
t→∞
[
Cos(z)
]t
0
lim
t→∞
[
Cos(t)−...
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