As long as I remember I've been passionate about mathematics. From elementary school, I've excelled in the subject. My first step towards teaching was through Maitreya Vihar Institute where I worked as Maths tutor for college students. I worked there from 2007 to 2013 . Then I started my new job in T.I.M.E. Institute as Quantitative Aptitude tutor from 2013 to 2019. Then I started my own startup and currently working on it.
In my free time I love to play Carrom board.
Find the area of the parallelogram that has $\mathbf{u}$ and $\mathbf{v}$ as adjacent sides.$$\mathbf{u}=2 \mathbf{i}+3 \mathbf{k}, \mathbf{v}=\mathbf{i}+4 \mathbf{j}+2 \mathbf{k}$$
Find the area of the parallelogram that has $\mathbf{u}$ and $\mathbf{v}$ as adjacent sides.$$\mathbf{u}=3 \mathbf{i}+4 \mathbf{j}+\mathbf{k}, \mathbf{v}=3 \mathbf{j}-\mathbf{k}$$
Find the area of the triangle with the given vertices.$$A(2,6,-1), B(1,1,1), C(3,5,2)$$
Find $\mathbf{u} \cdot(\mathbf{v} \times \mathbf{w})$.$$\mathbf{u}=3 \mathbf{i}-2 \mathbf{j}+2 \mathbf{k}, \mathbf{v}=5 \mathbf{i}+2 \mathbf{j}-2 \mathbf{k}, \mathbf{w}=\mathbf{i}+2 \mathbf{j}+6 \mathbf{k}$$
Find $\mathbf{u} \cdot(\mathbf{v} \times \mathbf{w})$.$$\mathbf{u}=(2,-1,3), \mathbf{v}=(1,4,3), \mathbf{w}=(-3,2,-2)$$
A manufacturer drills a hole through the center of a metal sphere of radius $R$ . The hole has a radius $r .$ Find the volume of the resulting ring.
From the top of a 170-ft lighthouse, the angle of depression to a ship in the ocean is 24°. How far is the ship from the base of the lighthouse? (Round your answer to the nearest foot.)
An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water. Assuming that the silver loses 1/10 of its weight in water and that gold loses 1/19 of its weight, how many ounces of each metal are in thealloy?
Find the length of the sides of a regular hexagon inscribed in a circle of radius 29 inches.
In the expansion of p(x^2)(5+px)^8, the coefficient of the term in x^6 is 3402. Find the value of p?
The curve C has equation y= x^2 + ax -4 . the slope of the tangent line to the curve at point P(3,b) is equal to 3. Find K= a.b the product of a and b.