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The dimensions of a closed rectangular box are measured as 60 centimeters, 50 centimeters, and 90 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
Explain why vectors QR and RQ are not equivalent. Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.
A is the amount of material remaining from an initial amount I at a given time t and k is negative constant determined by the nature of the material.
Probability distribution. The high school GPA of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories.
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?
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity and inflection.
An arrow is accidentally shot into the air. The formula y = - 14x2 + 56x + 18 models the arrow's height above the ground, y, in feet, x seconds after it was released.
Find the mean of the distribution shown.
A California license plate consists of a digit followed by three letters, and then three digits. How many such license plates are there?
marta's checkbook shows that she wrote a check for 987$ for building materials. what was the price of the materials if the sale tax is 5% ?
Find the mass and center of masss of the solid S bounded by the paraboloid z= 4x^2 + 4y^2 and the plane z= a (a is greater than 0) if S has constant density K.
Find the fundamental matrix for differential equation.
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