3.9 Homework - Related Rates (Homework)

6. [-/1 Points] DETAILS SCALCET9 3.9.037.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 900 cm , the pressure is 200 kPa, and the pressure is increasing at a rate of 30 kPa/min. At what rate (in cm /min) is the volume decreasing at this instant? cm/min Need Help? Read It Watch It Master ItA rock is dropped in a pond, causing circular ripples. The radius increased with a rate 1 foot per second. When the radius is 4 feet, the area is increasing by 87 square feet per second. O True O False 8. [-/1 Points] DETAILS SCALCET8 3.9.JIT.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 13 5 12 sin(0) = cos(0) = tan(0) = csc(0) = sec(0) = cot(0) = Need Help? Watch It9. [-/1 Points] DETAILS SCALCET8 3.9.JIT.001.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.) 5x + 9 = 44 x = Need Help? Watch It Master It 10. [-/1 Points] DETAILS SCALCET8 3.9.004.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 14 cm and the width is 12 cm, how fast is the area of the rectangle increasing? Step 1 Using A = /w, we have dA dt dt Submit Skip (you cannot come back)