4. [IO.83 Points] DETAILS SCALCET8 3.9.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow movmg when he is 50 ft from the pole? Need Help? 5. [ID.83 Points] DETAILS SCALCET8 3.9.017.M|. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mm. At what rate is the distance between the cars increasing four hours later? . . Need Help? 5. [ID.83 Points] DETAILS SCALCETB 3.9.018.M|. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A spotlight on the ground shines on a wall 12 m away. Ifa man 2 m tall walks from the spotlight toward the building at a speed of 1.9 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building? (Round your answer to one decimal place.) Need Help? 7. [ID.83 Points] DETAILS SCALCETB 3.9.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cmZ/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 160 cm2? :Jem Need Help? 8. [-l0.83 Points] DETAILS SCALCET8 3.9.050. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The minute hand on a watch is 5 mm long and the hour hand is 3 mm iong. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimai place.) 9. [l0.83 Points] DETAILS SCALCETB 3.10.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the linearization L(x) of the function at a. - _ 1 f(x) 5In(x), a 3 10. [-/0.83 Points] DETAILS SCALCET8 3.10.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the linearization L(X) of the function at a. x)=, a=16 L(X) : Need Help? _' 12. [010.87 Points] DETAILS PREVIOUS ANSWERS SCALCET8 3.10.519.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a linear approximation (0r differentials) to estimate the given number. (Do not round your answer). (32.04)\"/5 [2* Need Help? Submit Answer 1. [-/0.83 Points] DETAILS SCALCET8 3.9.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 31 m? m 2 / s 2. [-/0.83 Points] DETAILS SCALCET8 3.9.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the square is 9 cm? cm2/s Need Help? Watch It 3. [-/0.83 Points] DETAILS SCALCET8 3.9.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose y = \\ 2x + 1, where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x = 4. dy = dt (b) If dy/dt = 4, find dx/dt when x = 12. dx dt Need Help? Watch It