Answer:
hope that helps
Step-by-step explanation:
3x^2+2xy+y2=2
6x + 2y + 2xy' + 2yy' = 0
x=1 ==> y=-1
6(1) + 2(-1) + 2(1)y' + 2(-1)y' = 0
6 - 2 + 2y' - 2y' = 0
4 = 0
(e) undefined
The graph is an ellipse. At (1,-1) there is a vertical tangent
b< 11: The board is shorter than 11 cm
b > 11: The box contains more than 11 books
b < 12: There are fewer than 12 beetles in a jar.
b > 12: The building is taller than 12 ft
Answer:
11232000 plates can be made.
Step-by-step explanation:
The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
3 digits from a set of 10(there are 10 digits from 0 to 9).
3 letters from a set of 26. So
Total:

11232000 plates can be made.
There are 13 cards of each suit.
Picking a heart would be 13/52 which reduces to 1/4
Then replacing the card and picking a club would be the same : 1/4
Picking a heart then a club would be 1/4 x 1/4 = 1/16
Answer: 1/16