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Show transcribed image text In a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases when the diameter is 9 cm. Water is leaking out of an inverted conical tank at a rate of 9,000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4m. If the water level is rising at a rate of 20cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.) Boyle's Law states that where 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 100cm2, the pressure is 120 , and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
Find the velocity and acceleration at time t. Find the position, velocity, and acceleration of the mass at time t = 5 π/6. In what direction is it moving at that time?
Show by direct computation that the centriod of the triangle with vertices (0,0), (r,0), and (0,h)is the point(r/3,h/3). Verify that this point lies on the line from the vertex (0,0) to the midpoint of the opposite side of the triangle and two-thi..
1. in management how important is it that you learn to use mathematics to solve problems? how valuable is an mba degree
How do the graphical and computer-based methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach?
Assume we interview 150 people and ask them the mileage on their car. If we assume that the population mean mileage is 100000 miles, with a population standard deviation of 30000 miles, what does the Central Limit Theorem tell us about the distrib..
finding thenbspprobability from the given datain a shop there are 20 customers 18 of whom will make a purchase. if
Assume that cotton and wool are substitutes. What will happen to the equilibrium price and quantity of cotton if the price of wool rises?
An office building worth $1million when completed in 2005 is being depreciated linearly over 50 years. What will be the book value of the building in 2010?
How would I solve the characteristic equation for B and show that the eigenvalues are 0, 2 and 4? For each eigenvalue, how would I find a corresponding eigenvector?
Write a script and a function to implement the secant algorithm - function will implement the secant algorithm and return the root of the function.
Probability for rolling a pair of dices, You are rolling a pair of dices, one red and one green. What is the probability of the following outcome?
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