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Consider the system of linear equations
X + ay = 1
2x + 8y = b
Where a and b are real numbers.
(a) Write out the augmented matrix for this system of linear equations.
(b) Use elementary row operations to reduce the augmented matrix to row-echelon form.
(c) Determine for what values of a and b does the system have infinitely many solutions.
(d) Determine for what values of a and b does the system have no solution.
(e) Determine for what values of a and b does the system have an unique solution.
X and Y are centers of circles of radius 9cm and 2cm and XY = 17cm. Z is the centre of a circle of radius 4 cm, which touches the above circles externally. Given that XZY=90 o , w
Next we have to talk about evaluating functions. Evaluating a function is in fact nothing more than asking what its value is for particular values of x. Another way of looking at
Method of disks or the method of rings One of the simple methods for getting the cross-sectional area is to cut the object perpendicular to the axis of rotation. Carrying out
1/sec A+tan A =1-sin A /cos A
Caterer determines that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. I
#Mai iss 3 years younger than twice the age of her brother . If b represents the age of Mai''s brother .which expression below represents Mai''s age 2-3b 3-2b 2b-3 3b-2 2-3b 3-2b q
ln(4x+19)=ln(2x+9)
Inverse Tangent : Following is the definition of the inverse tangent. y = tan -1 x ⇔ tan y = x for -∏/2 ≤ y ≤ ?/2 Again, we have a limi
Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1 d (a x ) /dx= a
The diagram below shows the cross section of a pipe 1/2 inch thick that has an inside diameter of 3 inches. Determine the area of the shaded region in terms of π. a. 8.75π i
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