Answer:
A)2
Step-by-step explanation:
we would like to integrate the following definite Integral:

use constant integration rule which yields:

notice that we can rewrite √x using Law of exponent therefore we obtain:

once again use law of exponent which yields:

use exponent integration rule which yields;

simplify which yields:

recall fundamental theorem:

simplify:

hence
our answer is A
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

.
Answer:
option D
2x − 7(−3x − 17) = 4
Step-by-step explanation:
Given in the question two equations
<h3>Equation 1</h3>
2x - 7y = 4
<h3>Equation 2</h3>
3x + y = -17
Rearranging equation 2 in terms of y
3x + y = -17
y = -17 - 3x
Put this value of y in Equation 1
2x - 7y = 4
2x - 7(-17 - 3x) = 4
So,
If you use the substitution method to solve the following system, new equation will be
<h3>2x - 7(- 3x - 17) = 4 </h3>
Answer:
H = 11m
Step-by-step explanation:
As we know, volume = length * breadth/width * height
Given,
length = 6m
Breadth/width = 3 1/2 or 3.5
Height = ?
So, l * b * h = v
=> 6m * 3.5m * h = 231m
=> 21m * h = 231m
=> h = 231m /21m = 11m
Therefore, height = 11m / 11metres
Hope this helps