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Provide solution to the following questions:
1. Evaluate the following:
2. If , then for what value of α is A an identity matrix?
3. The line y = mx + 1 is a tangent to the curve y2= 4x .Find the value of m.
4. Solve the following differential equation: (x2− y2) dx + 2 xy dy = 0.
5. Solve system of linear equations, using matrix method.
x − y +2z =7
3x +4y −5z =−5
2x − y + 3z = 12
The number of faculty listed for a variety of private colleges which offer only bachelor'sdegrees is listed below. Use these data to construct a frequency distribution with 7 classes, ahistogram, a frequency polygon, and an ogive. Discuss the shap..
Bond J is a 3 percent coupon bond. Bond K is a 9 percent coupon bond.
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
The location (as a function of time) of a car, moving in a straight line, is given by the expression x(t)= 2t + sin(2pi t)for [0,1]. What are the highest and lowest values of its acceleration in that time interval?
If you point a flashlight at a wall, it makes a circle. If you angle it a bit, the light makes an ellipse. Angle it even more and it makes a parabola. What is the angle of the flashlight when the light becomes a parabola?
Please explain how to solve the following: Use the disk method to verify that the volume of a right circular cone is 1/3pir^2h.
Write the definitions of the properties, reflexive, antisymmetric and transitive and the use the definitions to determine whether each property holds for this relation.
a rod of 5m long leans against a vertical wall and its upper end is 4m above the ground. If the upper end of the rod slides down by 1.2m, how far will the lower end of the rod move?
A submarine dives at an angle of 12 degrees to the surface of the water. The submarine travels at a speed of 740 feet per minute. About how deep is the submarine after 5 minutes?
1) Find the solution(s): 3/3x-1-2= 25/9x2+12x-5 2) Solve and graph the inequality: x-2/x+6≥3
a test has twenty questions worth 100 points. The test consists of True/False questions worth 3 pointS each and multiple choice questions wrth 11 points. How many multiple choice questions are on the test? Solve algebraically.
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
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