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The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm min when the height of the water is 2 m, nd the rate at which water is being pumped into the tank. 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 600 cm3, the pressure is 150 kPa, and the pressure is increasing at a rate of 20 kPa min. At what rate is the volume decreasing at this instant?
Got the 1st derivative to be Y'= 1/4 (1+1/x)^-3/4 * (-1x)^-2 Is that correct?
Solve the given triangle.
The area of a rectangle is 48 square centimeters. If the length of the rectangle is 8 centimeters longer than the width, how wide is the rectangle?
Two rainstorms occurred in one week in a certain area. In the first storm 25ml of rain fell per hour, and in the second storm 20ml of rain fell per hour. Rain fell that week for a total of 75 hours for a total rainfall of 1700ml.
The dimensions of a closed rectangular box are measured as 73 cm, 67 cm, and 48 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Given a normal distribution of u (mean of the binomial distribution)=103 and a(standard deviation of the binomial distribution)=20 and a sample of n=16, What is the probability that the mean of X is between 90 and 90.5?
You have been given information that if a student is a resident and they enroll for more than 12 hours, then their tuition will equal $120 plus $10 per hour for every hour greater than 12.
a spherical balloon is to be felated so that the radius decreases at a rate of 3ft^3/min. How fast is the diameter of the balloon decreasing when the radius is 1ft?
From the top of a 150-ft building Flora observes a car moving toward her. If the angle of depression of the car changes from 18 degrees to 42 degrees during the observation, how far does the car travel?
An apartment building has seven elevators. Each elevator stops on at most six floors. You can get to any one flooor from any other floor without changing elevators (if you take the right elevator). What is the largest number of floors that buildin..
Write an inequality to model each situation
Calculate the distance traveled by the prey from the time it is dropped until it hits the ground. Express your answer correct to the nearest tenth of a meter.
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