Question

1- Write an equation of the line satisfying the given conditions. Write the answer in standard form with no fractional coefficients. Passes through (4, 4) and is perpendicular to the line defined by -5x + 4y = -6.

2- A fireworks mortar is launched straight upward from a pool deck platform 4m off the ground at an initial velocity of 61 m/sec. The height of the mortar can be modeled by  where h(t) is the height in meters and t is the time in seconds after launch. What is the maximum height? Round to the nearest meter.

3- Determine whether the intermediate value theorem guarantees that the function has a zero on the given interval.

f (x) = x3 - 8x2 + 14x + 9; [1, 2]

4-A food company originally sells cereal in boxes with dimensions 25 cm by14 cm by 10 cm. To make more profit, the company decreases each dimension of the box by x centimeters but keeps the price the same. If the new volume is 2,208 cm3 by how much was each dimension decreased?

5-A polynomial f (x) and two of its zeros are given. Solve the equation f(x) = 0. f (x) = 2x5 + 19x4 + 75x3 + 90x2 - 162x - 324; -3 - 3i and  are zeros

6- Given that the domain of a one-to-one function f is [-8, -1) and the range of fis (8, ∞), state the domain and range of f -1

Answer 1