Y = -6x + 3
The slope is -6 because you move down 6 units and over 1, and -6/1 = -6. The y-intercept is 3 because the line touches the y-axis at (0,3).
Answer:
Substitution rule is one of the most important rule to solve the integrals problem.
In substitution rule we substitute different variable in such a way that it can simplify the question.
example: when we have to solve "Sin x²" we cannot solve it but
if question is "x Sin x²" we can substitute x² with t and can solve it.
The purpose of substitution rule is to simplify the problem of integrals.
3m 15 m 6 m not dion to scale and find voulume I’d the triangular 4. 90 m3
Let x represent radius of circle.
We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be
.
Now we will use volume of cylinder formula to our given problem.
, where,
r = Radius of base of cylinder,
h = Height of cylinder.
Upon substituting our given values, we will get:


Therefore, our required volume expression would be
.
The cross product of two vectors gives a third vector

that is orthogonal to the first two.

Normalize this vector by dividing it by its norm:

To get another vector orthogonal to the first two, you can just change the sign and use

.