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We are designing a computer graphic in which we zoom in on a cube. The volume V, surface area S, and side length z of the cube are all varying with respect to time. With this information, compute the following quantities using the steps described in the text:
1. dS/dt when x = 2 inches and dV/dt = 1in^3/s2. dV/dt when x = 2 inches and dS/dt = 1in^2/s
Evaluate the equation of the standard rectangular hyperbola and equation of the tangent and normal at a point to rectangular Hyperbola
A box with a square base has length plus girth of 118 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2200 in3?
What is seen in the histogram created for the heights of students in this class (include the shape)? Explain your answer.
A set of trading cards sells for $12.00 before tax. After sales tax, it costs $12.60. What is the sales tax rate.
What are some of the services provided by the Center for Mathematics Excellence? Which service do you think will be the most useful throughout your college experience?
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..
Given f(x)=x^3 on [0,1] and the partition P={0,1/8,1/3,2/3,1}, find four different Riemann sums R(f,P). Show that Chi_Q is discontinuous at every point where Chi_Q is the characteristic function for Q - Rational numbers.
Probability of creating a mini license plate with an R. A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6
Find the directional derivative at the point P in the direction indicated.
the runners are running on circular tracks of which has a circumference of 1320 feet. the tracks are 100 feet apart and and the runners start opposite each other and move at the same constant rate of 880 ft/min. how fast are the runners separating..
When you subtract one number from another, the answer is always less than both of the numbers in the subtraction problem. Support or disprove this statement with examples.
In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300, it means he or she got 300 hits in 1000 at bats.
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