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In question 18, write the value of a11 C21 + a12 C22 + a13 C23.
Concept: undefined >> undefined
If A is a square matrix satisfying AT A = I, write the value of |A|.
Concept: undefined >> undefined
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A is a skew-symmetric of order 3, write the value of |A|.
Concept: undefined >> undefined
Prove that the function
Concept: undefined >> undefined
For what value of λ is the function
\[f\left( x \right) = \begin{cases}\lambda( x^2 - 2x), & \text{ if } x \leq 0 \\ 4x + 1 , & \text{ if } x > 0\end{cases}\]continuous at x = 0? What about continuity at x = ± 1?
Concept: undefined >> undefined
Find the relationship between 'a' and 'b' so that the function 'f' defined by
Concept: undefined >> undefined
Find the points of discontinuity, if any, of the following functions:
Concept: undefined >> undefined
Find the points of discontinuity, if any, of the following functions: \[f\left( x \right) = \begin{cases}2x , & \text{ if } & x < 0 \\ 0 , & \text{ if } & 0 \leq x \leq 1 \\ 4x , & \text{ if } & x > 1\end{cases}\]
Concept: undefined >> undefined
Find the points of discontinuity, if any, of the following functions: \[f\left( x \right) = \begin{cases}x^{10} - 1, & \text{ if } x \leq 1 \\ x^2 , & \text{ if } x > 1\end{cases}\]
Concept: undefined >> undefined
Find the points of discontinuity, if any, of the following functions: \[f\left( x \right) = \begin{cases}- 2 , & \text{ if }& x \leq - 1 \\ 2x , & \text{ if } & - 1 < x < 1 \\ 2 , & \text{ if } & x \geq 1\end{cases}\]
Concept: undefined >> undefined
In the following, determine the value of constant involved in the definition so that the given function is continuou:
Concept: undefined >> undefined
The function f (x) = tan x is discontinuous on the set
Concept: undefined >> undefined
If A, B, C are three non-null square matrices of the same order, write the condition on A such that AB = AC⇒ B = C.
Concept: undefined >> undefined
Using integration, find the area of the region bounded between the line x = 2 and the parabola y2 = 8x.
Concept: undefined >> undefined
Using integration, find the area of the region bounded by the line y − 1 = x, the x − axis and the ordinates x= −2 and x = 3.
Concept: undefined >> undefined
Find the area of the region bounded by the parabola y2 = 4ax and the line x = a.
Concept: undefined >> undefined
Find the area lying above the x-axis and under the parabola y = 4x − x2.
Concept: undefined >> undefined
Draw a rough sketch to indicate the region bounded between the curve y2 = 4x and the line x = 3. Also, find the area of this region.
Concept: undefined >> undefined
Make a rough sketch of the graph of the function y = 4 − x2, 0 ≤ x ≤ 2 and determine the area enclosed by the curve, the x-axis and the lines x = 0 and x = 2.
Concept: undefined >> undefined
Sketch the graph of y = \[\sqrt{x + 1}\] in [0, 4] and determine the area of the region enclosed by the curve, the x-axis and the lines x = 0, x = 4.
Concept: undefined >> undefined
