Explanation

Let's say the number is x. Its reciprocal is 1/x.

x ÷ 1/x = x * x = x²

The answer is square of a number.

Explanation

To find the sum:

(4x + 7y + 10z) + (−3x + 5y − 7z)

= (4x - 3x) + (7y + 5y) + (10z - 7z)

= x + 12y + 3

Explanation

If matrix A is 2x3 and matrix B is 3x3, then the order of the resulting matrix AB is 2x3. 

Explanation

The given differential equation is a second-order linear homogeneous equation with constant coefficients. The characteristic equation is:

r^2 - 4r + 4 = 0

which has a repeated root r = 2. Therefore, the general solution is:

y = (c1 + c2x)e^2x

where c1 and c2 are arbitrary constants.

Explanation

A ∩ (C U B) = (A ∩ B) U (A ∩ C)

Explanation

The formula p ∨ (p ∧ q) can be simplified using the distributive property of ∨ over ∧, which states that p ∨ (q ∧ r) = (p ∨ q) ∧ (p ∨ r).

Applying this property, we get:

p ∨ (p ∧ q) = (p ∨ p) ∧ (p ∨ q) = p ∧ (p ∨ q) = p

Explanation

Explanation

Explanation

y = √x−1 , is an explicit function of x 

Explicit function: A function where y is directly expressed in terms of x

for example y = 2x + 3

Explanation

• The correct answer is: a + (-b) ∈ H.
• A nonempty subset H of G is a subgroup of G if and only if it is closed under the group operation + and contains the inverse of each of its elements.