+(/2)13/7, where k is a constant for a givel B in magnet. Find the expression fo
ID: 2891194 • Letter: #
Question
+(/2)13/7, where k is a constant for a givel B in magnet. Find the expression for the time rate of change of terms of the time rate of change of r. 33. Th ob of 20. An approximate relationship between the pressure p and volume v of the vapor in a diesel engine cylinder is pu4-k, where k i a constant. At a certain instant, p = 4200 kPa, u = 75 cm, and the volume is increasing at the rate of 850 cm3/s. What is the time 34. Th ter in rate of change of the pressure at this instant? 21. A swimming pool with a rectangular surface 18.0 m long and 12.0 m wide is being filled at the rate of 0.80 m3/min. At one end it is 1.0 m deep, and at the other end it is 2.5 m deep, with a con- stant slope between ends. How fast is the height of water rising when the depth of water at the deep end is 1.0 m? iS 22. An engine cylinder 15.0 cm deep is being bored such that the ra- dius increases by 0.100 mm/min. How fast is the volume V of the in 36. T th 8. 6 cylinder changing when the diameter is 9.50 cm? 23. Fatty deposits have decreased the circular cross-sectional opening of a person's artery. A test drug reduces these deposits such that the radius of the opening increases at the rate of 0.020 mm/month. Find the rate at which the area of the opening increases when r = 1.2 mm. 24. A rectangular image 4.00 in. high on a computer screen is widen- ing at the rate of 0.25 in./s. Find the rate at which the diagonal is increasing when the width is 6.50 in. 38. T 25. A metal cube dissolves in acid such that an edge of the cube de- creases by 0.50 mm/min. How fast is the volume of the cube ce changing when the edge is 8.20 mm? 26. A metal sphere is placed in seawater to study the corrosive effect of seawater. If the surface area decreases at 35 cm2/year due to corrosion, how fast is the radius changing when it is 12 cm? A uniform layer of ice covers a spherical water-storage tank. A the ice melts, the volume V of ice decreases at a rate that varies directly as the surface area A. Show that the outside radius de- creases at a constant rate 39. A 28. A li ght in a garage is 9.50 ft above the floor and 12.0 ft behind the door. If the garage door descends vertically at 1.50 ft/s, how fast is the door's shadow moving toward the garage when the door is 2.00 ft above the floor?Explanation / Answer
26. S= 4 pi r2
dS/dt= 4*2 pi r (dr/dt)
-35= 8pi *12(dr/dt)
dr/dt=- 35/96pi =-0.116cm/year
SO the radius is decreasing at the rate of 0.116 cm per year
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.