Question #1) Jeremy determines that √9= 9^1/2. Part of his work is shown√9=3=3^1=3^1/2 + ^1/2=____=9^1/2Which expression or equation should be placed in the blank to correctly complete Jeremy's work? A: (3^2)^1B: 3^1/2 + 3^1/2C: 3^1/2 x 3^1/2= (3x3)^1/2D: 3^1/2 x 3^1/2= (3x3)^1/2+^1/2Question #2)A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by f(x) = 625-16x^2.Select all the correct interpretations of the coordinates of the point at the maximum of the function f(x).A: The time it takes the stick to hit the groundB: The time when the stick is at its highest pointC: The height of the stick when it is dropped from Miami TowerD: The time when the stick is dropped from the top of Miami TowerE: The distance of the stick from Miami Tower when it hits the ground.
Accepted Solution
A:
1. From Jeremy's work: √9 =3^(1/2)×3^(1/2) multiplying number with the same powers is the same as multiplying the number first then raising it to the power. =(3×3)^(1/2) from above we conclude that the answer is: C: 3^1/2 x 3^1/2= (3x3)^1/2
2. Given that the height of the stick at time t seconds after it was dropped is given by the function: f(x)=625-16x² At the maximum point f'(x)=0 thus f'(x)=-32x=0 thus at maximum point x=0, y=625. The coordinates is (0,625), this represents the distance of the stick from Miami Tower when it hits the ground.