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Suppose that a drop of mist is a perfect sphere and that, through condensation, the drop picks up moisture at a rate proportional to its surface area. Show that under these circumstances the drop's radius increases at a constant rate.
Which axis does the helix wrap around? Find a parameterization for the tangent line to the curve at t=5π/6 , assuming k=1. Which value(s) of k make h(t) an arc-length parametrization?
Let s(x, y) = √(y2 - x2). Sketch the domain of s. Find equations for the level curves {(x, y) : s(x, y) = c} for c = 1, 2, 3, sod sketch the curves.
You want to spend $400 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose?
What are the four categories of financial ratios? Choose one category (excluding liquidity ratios) and list and describe the various ratios in that category. What do the calculated numbers mean for these ratios?
How can you identify the Dependent and independent variables in a real world situation modeled by a graph?
Prove that if the orientation on one component of a two-component oriented link L is reversed then its linking number is negated. What is the linking number of the mirror-image link L? Would either of these results still hold if L had three or mor..
where cosh(x)=(e^x+e^-x)/2 is the hyperbolic cosine, which is an important function in physics and engineering.
In a study of 250 meals served at 75 campus cafeterias, 18 had less than 10 grams of fat but not less than 350 calories; 24 had less than 350 calories but not less than 10 grams of fat; 102 had over 350 calories and over 10 grams of fat.
1.Use cofactor expansion to show that the determinant of an n × n matrix is a linear function of its first column. Also show that it is not a linear function of its argument, the matrix itself.2.Use cofactor expansion to show that the determinant of ..
Use linear approximation, the tangent line approximation, to approximate the following: Note: the correct answer are different from the calculator computed values
A jar contains a number of marbles of which 58 are pink, 78 are green, and the rest are blue. If the probability of choosing a blue marble from this jar at random is 1/5, how many blue marbles are in the jar.
suppose bob bought an suv that originally had tires with a diameter of 26 inches but then replaced them with larger
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