Answer:
Option 1.1
Step-by-step explanation:
The linearization of a curve implies the use of calculus to find the local value for the derivative and approximating the function by the use of the formula
The function is given in such way that it's much easier to find the derivative by implicit differentiation than isolating any of the variables
Differentiating with respect to x, we have
Computing y' in the given point (3,1) we have
4(3)(1)+2(9)y'+y'=2
The function will be approximated with the expression
To find the approximate value for x=2.8
The correct value is the option 1.1
Answer:
C
Step-by-step explanation:
Given
![\left[\begin{array}{ccc}-2&3\\2&4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%263%5C%5C2%264%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ ![\left[\begin{array}{ccc}3&1\\-1&2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%261%5C%5C-1%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Add corresponding elements to obtain the sum, that is
= ![\left[\begin{array}{ccc}-2+3&3+1\\2-1&4+2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%2B3%263%2B1%5C%5C2-1%264%2B2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}1&4\\1&6\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%264%5C%5C1%266%5C%5C%5Cend%7Barray%7D%5Cright%5D)
→ C
Answer: 
Step-by-step explanation:
From the given figure it can be seen that
Total number on cube= n(S)=6
Intersection of A and B = n(A ∩ B)= 2
Therefore,
Also, The number of elements in A = 2
Therefore,
Similarly, The number of elements in B= 6
Therefore,
The formula to find the conditional probability is given by :-
Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-
Then, the number of different ways they place first, second, and third :_
Hence, they can place first, second, and third in 120 different ways .
Answer:
0.1536
Step-by-step explanation:
The computation of probability that the building failure will occur over its life is shown below:-
P(building failure) is
now we will solve the above equation
= 0.18 - 0.0264
After solving the above equation we will get
= 0.1536
Therefore for computing the probability that the building failure will occur over its life we simply applied the above formula.
