It would be 5 because 1+4
A^4 / a = a^3
b^-3 / b^-2 = b^(-3-(-2)) = b^-1 = 1/b
so the answer is a^3/b
Answer:
See answer below
Step-by-step explanation:
There is NO elementary function that gives the antiderivative of e^(-x^2)
This expression in fact is called the Gaussian integral, since it gives the Gaussian bell curve.
Its integration is done by numerical methods, it is widely used in Statistics, and there are tables to calculate definite integrals associated with probability distributions.
Answer:
a , c and d
Step-by-step explanation:
a , c and d are correct
Answer:
Amount of empty space in the cylinder = 395.64 cm³
Step-by-step explanation:
Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;
Formula for volume of a cylinder is;
V = πr²h
We are to use π = 3.14
Thus, V_cylinder = 3.14 × (6/2)² × 18
V_cylinder = 508.68 cm³
Volume of a tennis ball is;
V_tennis ball = (4/3)πr³
V_tennis ball = (4/3) × 3.14 × (6/2)³
V_tennis ball = 37.68 cm³
Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³
Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³