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Water is leaking out of an inverted conical tank at a rate of 6000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 7 m and the diameter at the top is 6 m. If the water level is rising at a rate of 18 cm/min when the height of the water is 2.5 m, find the rate at which water is being pumped into the tank.
Define an imaginary number in your own words and explain the difference between an imaginary number and a complex number. (minimum 50 words).
You walk 88 yards due south, then 124 yards due west, and then 44 yards due north. How far are you from your staring point?
How do you find the probability distribution of a random sample from a known population?
Find the Type II error value.
The business opened with a debt of $3400. After 3 years, it accumulated profit of $2700. Find the profit as a function of time t, knowing the profit function is linear.
Moe and Joe flip a slightly unbalanced coin until the one or the other loses all his money. On a single flip Joe wins with probability .49. Joe starts with $8 and Moe start with $4.
The surface area of the right squre pyramid is given by S=b square rt. b^2 + 4h^2. If the pyramid has height of 10 feet and surface area of 100 square feet, what is the length of a side b of its base?
A buoy oscillates in simple harmonic motion y = A cos omega(t) The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds.
Find the Taylor's formula for estimation of cosine function
Characterize completely the random variable that is Bin(49, 0.3).
Bonni has two similar rectangular boxes. The dimensions of box 1 are twice those of box 2. How many times greater is the volume of box 1 than the volume of box 2?
Evaluate the Equation of the line which passes through the two given points and Write down the equations of the line described in the following questions
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