Answer:
27/64 or any other equivalent form
Step-by-step explanation:
using quotient rule
f'(x) = =
using quotient rule again
f''(x) =
simplifying to make it easier to plug in
f''(x) =
=
=
=
f''(1) = =
For the area just multiply x^2y^3 by 2.
Answer:
1. .
2. .
3. .
4. .
5. .
Step-by-step explanation:
1. The product of the third power of a and the fourth power of b = .
The 'third power of a' means 'a to the power 3' and 'fourth power of b' means 'b to the power 4'.
2. Six less than three times the square of Y means .
Here, 'three times the square of Y' means 'product of 3 and Y to the power 2', and 'six less than' means 'subtract 6 from the expression'.
3. The sum of a and b increase by the quotient of b and a means .
Here, 'quotient of b and a' means 'b divided by a'.
4. Four times the sum of r and a increased by twice the different r and s means .
Here, 'increased by' means 'addition' and 'different r and s' means 'r minus s'.
5. Triple the difference of 55 and cube of w means .
Here, triple means 3 times. (Answer)
Answer:
1/3
Step-by-step explanation:
The probability of selecting yellow is the number of yellow marbles / the total number of marbles.
There are 6+6+6 = 18 total marbles in the bag.
There are 6 yellow marbles in the bag.
So the probability of getting yellow is 6/18 = 1/3.
The two positive consecutive integers we'll call x and x+2. then (x+2)² - x² =68
x²+4x+4-x²=68
4x=64
x=16
the integers are 16 and 18