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1) What is the domain of r(t) = (1 / (t-1), 5 / (t-3), In(t)>
2) Find the curvature of the curve r(t) = <t,sin t, cos t> at the point (0,0,1)?
3) Find the velocity, acceleration, and speed of a particle with position function r(t) = et <cos t, sin t, t>
If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway.
an employee's new salary is $20,370 after getting a 5% raise. What was the salary before the increase in pay? Last years salary was $
If Teresa runs once around the outside lane, and Martina runs once around the inside lane, how much further does Teresa run than Martina?
a balloon rises straight up from the corner of 69th and normal at 10 ftsec. what is the rate of change of the angle of
What is the probability that a randomly selected value from the distribution will be less than 2.1 standard deviations from the mean?
Consider the constants A, B, C and the function f(x, y) = Ax^2 + Bxy + Cy^2.
Make a graph of this on graph paper. Use your graph to find the depth of water in the tank after 5 hours.
Compute the equilibrium income, derive any government expenditure multiplier and interpret the multiplier and explain its significance in policy context
The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t. Find the current when t= 0.4s. Find the current when t= 1 s. At what time is the current the lowest?
what rate of markdown can the pharmacy apply to the remaining inventory of sunglasses and still break even on sales at this level?
find whether x3 is a local maximum or a local minimum and sketch the graph.the function f has a derivative everywhere
Solve this problem using calculus to find the dimensions of a rectangle of given perimeter of 4m that includes maximum area.
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