Answer:
a) lim x ⇒0 eˣ - x - 1cos(x) -1 = -1
b ) q = √a/b
Step-by-step explanation:
a) lim x ⇒0 eˣ - x - 1cos(x) -1 ⇒ e⁰ -(0) - cos(0) -1 = 1-0-1-1 = -1
B) The weekly cost of the company is C(q) = a/q + bq
In cost equation the term a/q represent the ordering cost. In fact if q increase the ratio a/q decrece and the term bq represent the storage cost that will grow as the storage quantity increase
C(q) = a/q + bq Taking derivative C´(q) = -a/q² + b
-a/q² = -b ⇒ a/q² = b ⇒ q² = a/b ⇒ q = √a/b
P left triangle = (2x+8) + (2x+7) + 2x
combine like terms
P left =6x+15
P right triangle = 2x+ 2x+ (3x+7)
combine like terms
7x+7
since the perimeters of the triangles are equal, set them equal
6x+15 = 7x+7
subtract 6x from each side
15 =x+7
subtract 7 from each side
8 =x
AB = 2x+8 = 2*8 +8 = 16+8 = 24
BC =2x+7 = 2*8+7 = 16+7 = 23
CA = 2x =2*8 = 16
PQ = 2x = 16
QR = 2x = 16
PR = 3x+7 = 3*8+7 = 24+7 = 31
Answer:
80
Step-by-step explanation:
After spending some time arranging the numbers in order, we get the sequential order as 8, 11, 23, 32, 34, 58, 58, 66, 83, 88.
Next, we need to find the range. The Range of a data set is the difference between the largest and smallest number.
- Thus, 88 - 8 = 80 as the range.
13 and 26 are the greatest common factors among the common factors of 13