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Use the Laplace transform to solve the given initial-value problem.
y′ + 2y = sin 4t, y(0) = 1
A. Find the finite population correction factor given the following:
(Show your solutions)
1. N=400,n=40
Which of the following is part of the set of all possible rational zeros of
f(x)=2x4−x3+6x2−5x−8?
i.
±1; ±2; ±12; ±14
ii.
±1; ±2; ±4
iii.
±1; ±2; ±4; ±12; ±14
iv.
None of the given options.
v.
±2; ±8; ±14
Calculate the molar mass of powdered fruit drink mix, made from sucrose (C12H22O11).
According to the May 16,2017 report by Pew Research, 68% of US adults say solar energy is very effective in minimizing air pollution. A sample of 240 U.S adults are surveyed. Let p
ˆ
p^ be the sample proportion of Americans who believe solar energy is very effective in minimizing air pollution.
- What is the population proportion? Answer (decimal form)
- What is the sample size? Answer
- What is the mean of the sampling proportion? Answer
- What is the standard deviation of the sampling proportion? Answer
(Round to 4th decimal place)
Iron can be extracted from haematite, Fe2O3, using either C or CO2 as the reducing agent. The reactions are shown below.
Fe2 O3 (s) + 3 C(s) → 2 Fe(s) + 3 CO(g) ΔH = +492.7 kJ /mol Fe2 O3 (s) + 3 CO(g) → 2 Fe(s) + 3 CO2 (g) ΔH = - 24.8 kJ/mol Substance S° (J/ K·mol) Fe2 O 3 (s) 87.4 Fe (s) 27.3 C (s) 5.7 CO (g) 197.6 CO 2 (g) 213.6 Use available data given to:
1. Calculate the minimum temperature at which reduction with carbon is feasible
2. Prove by calculation that reduction with carbon monoxide is feasible at all temperatures.
Create an abstract class Shape and the derived classes Square, Triangle and Circle. Write a
java program to display area of different shapes.
Let a class Person contains data members name and age. A constructor with two arguments
is used to assign name and age. Person is of two types a) Student and b) Teacher. class
Student contains data members i)course ii) Roll Number and iii)Marks and method
display() to display data related to student. Similarly, class Teacher contains data members
i) subject_assigned (May take this as a String) ii) contact_hour and method display () to
display data related to teacher. Implement this program using base class constructor in
derived class
Write a Java program to declare a Class named as Student which contains roll number,
name and course as instance variables and input_Student () and display_Student () as
instance methods. A derived class Exam is created from the class Student . The derived
class contains mark1, mark2, mark3 as instance variables representing the marks of three
subjects and input_Marks () and display_Result () as instance methods. Create an array of
objects of the Exam class and display the result of 5 students
Write a program that computes for the average of 5 numbers using a sequence control structure.
