Answer:
2.7
Step-by-step explanation:
that is correct....
7. X2=25
X=5, x=—5
8. (X—3)2=49
X=10, x=—4
9. X2+3x—28.
X=4, x=—7.
10. 5x2–8=3x.
X=8/5, x=—1
Answer:
36. Limit = 2/3.
Step-by-step explanation:
36.
(∛ x- 1) / (√x - 1)
Rationalise the expression:-
Multiply top and bottom by (√x + 1):-
(∛x - 1)(√x + 1) / (√x - 1)(√x + 1)
= x^5/6 + ∛x - √x - 1 / (x - 1)
Applying L'hopital's rule ( differentiating top and bottom of the fraction) we have:
Limit as x ----> 1 of [5/6 x^-1/6 + 1/3 x^(-2/3) - 1/2x^-1/2] / 1
= 5/6(1) + 1/3(1) - 1/2(1) = 2/3 (answer).
Answer: 5
Step-by-step explanation:
Answer:
The minimum cost of producing 60000 units of a product is $105867
Step-by-step explanation:
Since x is the number of units of labor, at $99 per unit, and y is the number of units of capital expended, at $84 per unit, The cost C(x,y) is given by:


For the minimum cost:

Using the langrage multiplier,

Dividing both equation 1 and 2

Substituting
in
, we get:
labor units
Substituting
labor units in
, we get
labor unit

The minimum cost of producing 60000 units of a product is $105867