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1. If z =8x3 +2 x2 y - y evaluate dz where x =1,y=1,dx=.02, and dy=.03
2. Using differentials, approximate the amount of material needed to make a cylindrical drinking glass tumbler with inside diameter 3 cm and inside height 9 cm. Assume the walls and bottom of the tumbler are 0.1 cm thick. (The tumbler has a bottom but no top.)
3. Evaluate 2∫5 [(5 + 3y) / √x] dy
4. Evaluate 16∫25 2∫5 [(5 + 3y) / √x] dy.
5. If R is the region with boundaries -1 ≤ x ≤ 0 and -x2 ≤ y ≤ x2 then evaluate ∫ R ∫ (x2 - y) dy dx (the R in this equation should be under the double integral symbol).
A town of population 25,000 grows at a constant rate of 1500 people every year. Find the population after 5 years
Write down detailed explanations and arguments to justify your calculations. If you wish to use a certain formula, be sure to state it clearly and give a brief justification for it.
Given that f(x)= 1/x and g(x)= 8x-6, find the following, and their domains. fog(x)= ________ domain= all real numbers except: gof(x)= ________ domain= all real numbers except:
Find the slope-intercept form of a line that is the perpendicular bisector of a line segment connecting (-7,3) and (1,17)
What societal factors may have caused the U.S. Supreme Court to abandon the rule of stare decisis in the Lawrence v. Texas and Bowers v. Hardwick cases?
1.Investigate the comparative pros and cons of the mean and the median. Find examples where the mean is more appropriate than the median and vice-versa. Discuss the locations of the mean, median and mode for a normal, left-skewed and right-skewed dis..
A moving body is opposed by a force per unit mass of value cx and resistance per unit mass value of bv^2 where x and v are the displacement and velocity of the particle at that instant. Determine the velocity of the particle in terms of x, if it s..
a camper uses a pole to hold up an awning. the pole is at a 60 degree angle and has 30 pounds of force on it. what is
the nelson company has 1312500 in current assets and 525000 in current liablities. its initial inventory level is
What is the measure of largest angle?
mrs. cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. she pours the paint
assume that you have a credit card from the hypothetical big bank. pick an imaginary outstanding balance. then answer
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