Provide an appropriate response.The altitude (in feet) of a rocket t seconds into flight is given by h = -2t3 + 114t2 + 480t + 1, t ? 0. Use Newton's method to approximate when the rocket will hit the ground.
Fill in the blank(s) with the appropriate word(s).
60.93852964 seconds
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Find the lateral surface area and volume of the solid object shown. If necessary, round to the nearest whole number unless otherwise directed.
A. L = 91 ft2, V = 102.1 ft3 B. L = 87 ft2, V = 90.4 ft3 C. L = 97 ft2, V = 101.7 ft3 D. L = 99 ft2, V = 111.7 ft3
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5
A. 8log5y
B. 
log5
C. 
log8y
D. 
log5y
Perform the division. Write the answer with positive exponents.(36x6 + 18x4 + 90x2) ÷ (-9x2)
A. -4x6 - 2x4 - 10x2 B. -4x4 - 2x2 - 10 C. -4x4 + 18x4 + 90x2 D. 36x4 + 18x2 + 90
Solve the problem.A woman walks 100 yards eastward along a straight shoreline and then swims 30 yards southward into the ocean on a line that is perpendicular to the shoreline. Using her starting point as the pole and the east direction as the polar axis, give her current position (i) in rectangular coordinates and (ii) in polar coordinates. Round the coordinates to the nearest hundredth. Express ? in degrees.
A. (i) (-100, 30); (ii) (104.40, -88.28°) B. (i) (100, -30); (ii) (11.40, -88.28°) C. (i) (100, 30); (ii) (11.40, -16.70°) D. (i) (100, -30); (ii) (104.40, -16.70°)