Math Answers

1.Solve for X from the matrix equation below. Here l is the identity matrix and det(B) ≠ 0 and det(A) ≠ 0.

B(X - l)A + B = A

Choose the correct option:

1. No such matrix X.

2. X=A–¹ B - A.

3. X=A–¹ - B +A.

4. X=A–¹ + B -A.

5. X= -A–¹ + B–¹ + l.

6. X= -(A–¹ + B–¹).

2. Consider the following linear system:

2x - 3y = -1

2x - 3y = 1

1. x=0 and y= 0 satisfy the system.

2. The system has exactly one solution.

3. The system is inconsistent.

4. The system has infinitely many solution.

A tank contains 400 liters of fresh water. By mistake, 100 kg of salt are poured into the tank instead of 90 kg. To correct this condition, 10 liters of brine are allowed to flow out per minute while 10 liters of fresh water per minute are pumped into the tank. If the mixture is kept uniform by stirring, find the time required for the tank to contain the desired amount of salt. 

1.Which of the following is a linear equation in x,yand z?

1. -x–¹ + e–√²y=3z l, where e= 2.71828

2. 2πln(e–½) - 2y + z= ln(3) - x.

3. √y² + 4y - 2z = 7x.

4.y + 4y - 2z = 7x–².

2.Solve for X from the matrix equation below. Here is the identity matrix and det(A) ≠ 0.

A²X + l = AB

Choose the correct option:

1. X is the identity matrix.

2. X= A–¹B - l

3. X= A–¹B + l

4. X= A–¹B - A

5. X= AB + B

prepare a line graph

monday 150

tuesday 250

wednesday 200

thursday 140

friday 210

saturday 380

sunday 450

If f is monotonic on (a,b) then show that f is of bounded variation on(a,b)

Given the μ=65 and σ=5 of a population of Math Exam scores. The z−value that corresponds to a score of X=74 is

47-53

Construct a h********** linear differential equation with constant coefficients whose solution is y = 6+3xe^x–cosx

Let T be a random variable giving the number of heads plus the number of tails in three tosses of a coin. List the elements of the sample space for the three tosses of the coin and assign a value to each sample point.

A shipment of five computers contains two that are slightly defective. if a retailer receives three of these computers at random, list the elements of the sample paces using the letters D and N for defective and non-defective computers,respectively. To each sample point assign a value x of the random variable X representing the number of computers purchased by the ratailer which are slightly defective.