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Air is being pumped into a spherical balloon at a rate of 20 cubic feet per second. At what rate is the radius of the balloon increasing at the instant when the radius equals 15 feet?
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
Use the mathematical and graphical analyses to determine the equation of the above function if the parabola cross the line y=2x at two points with the x-coordinates 0 and 10. and determine the domain and range of the variables
Recall that if z=x+iy then, x=(z + zbar)/2 and y=(z-zbar)/2. By formally applying the chain rule in calculus to a function F(x,y) of two real variables, derive the expression
What radius produces such a disk?
One card will be randomly selected from a standard 52-card deck of cards. What is the probability that it will be the jack of hearts?
Suppose that you select 2 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a king, what is the probability that the second card that you select is a heart?
A stone thrown upward from the top of a 80 ft cliff at 118 ft/sec eventually falls to the beach below. (For this problem take the acceleration due to gravity to be -32 ft/sec; take upwards to be a positive direction.)
Three students are doing an assignment.John has finished 4/5 of the assignment,Sarah has finished 3/4 and Jo has finished 2/3. Which student has done the most?
Calculate the value of the sample correlation coefficient between weekly sales & shelf space.
What are two or more other curves or graphs that you use or observe in the business environment? Why are they important and how are they used?
Why would we want to do this? Why not just use Newton's Interpolatory Divided Difference formula to get an nth degree interpolating polynomial? Write down the conditions required for the spline S(x) to fit the data and have 6 continuous derivative..
A high school counselor wants to examine whether the teenage pregnancy rate at her school is different from the rate nationwide. She knows that the rate nationwide is 15 %. She randomly selects 80 female students from her high school. She finds th..
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