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The perimeter of a rectangle is 42 m. The Length of the rectangle is 3 m more than twice the width. Find the dimensions of the rectangle.
What are rational expressions? Why must we always be mindful of the final value of the denominator in a ration expression? For example, consider the rational expression 3x(x^2-16). What values in the denominator must be we be mindful of? Explain w..
What is the predicted height in feet of a tree that produces 88 pounds of oranges?
Find the first and third quartiles of the data set.
A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how).
Corey is asked to find the maximum value of a function. Not having a complete understanding of the process, Corey decides to find the derivative of the function, set it equal to zero, and solve. The resulting value, Corey reasons, will yield the m..
To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches long?
Use the washer method to find the volume of the solid of revolution formed by revolving the region bounded by f (x)= 3x^2 and g (x)=2x+1 about the x-axis.
A trough is 4 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of from to . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping ..
Application of Calculus-Optimization problem - Show that the shortage length of such a rope occurs when θ 1 = θ 2
margin of error: 0.01; confidence level: 95%; from a prior study, p hat is estimated by the decimal equivalent of 69%. find the minimum sample size.
If the company wants to send out only fully loaded trucks (and they should return empty), how many trucks of each type would need to be rented? (Find all possible ways to do this.)
At home medical test kits have increased in popularity in recent years. This year, 300 million test kits are expected to be sold. This represents a 115% increase from the number of kits that were sold last year. How many medical test kits were sol..
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