Answer:
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
Given that :
we are to evaluate the Riemann sum for
from 2 ≤ x ≤ 14
where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.
The Riemann sum can be computed as follows:

where:

a = 2
b =14
n = 6
∴



Hence;

Here, we are using left end-points, then:

Replacing it into Riemann equation;






Estimating the integrals, we have :

= 6n - n(n+1)
replacing thevalue of n = 6 (i.e the sub interval number), we have:
= 6(6) - 6(6+1)
= 36 - 36 -6
= -6
The board is 12x larger in length than the nails. (Since the width of the board and nails are unknown, I am assuming you mean the length, not area difference)
Answer:
180-60 = 120 if triangle is not equilateral it cannot be isosceles then depending where the angles are they will show 60,60,60 if equilateral
For isosceles it would need to be 58 61 61 as 60, 60,60 cannot be isosceles.
Vectors 60 if right angled triangle = 90-60 = 30
So angles = 30 and 90 degree or just 120 if angle theta is a vector as explained below.
Step-by-step explanation:
Statement: If two vectors are represented by the sides of a triangle both in magnitude and direction taken in order, the resultant sum of the vectors is given by the closing third side of the triangle taken in the reverse order both in the magnitude and direction
1. Crippled, Disabled
Crippled is almost sound like a discriminating word and have a negative connotation where as disabled is more polished and reverent.
2. Relaxed, Easy-going
Both seem same but relaxed refers to free, pleasure and stress free but easy-going implies not serious and laziness.
3. Knockout, Beautiful
Knockout mainly used to imply someone is sex y where as beautiful is simple compliment for a person.
4. Young, Immature
Sometimes both are used in the same context but youth may be always a substitute for immature.
5. Skinny, Thi n Both are almost similar but actually someone skinny is called thin.