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- Restate this question in terms of dV /dt and dh/dt: At what rate is water pouring in if the water level rises at a rate of 1 cm/min?Given the function s(t)= -16t2 + 128t, what is the average velocity at time interval [1,2]? Then make a conjecture about the value of the instantaneous velocity at t=1."du dt" is "dx dy", that is a typo
- Use an appropriate local linear approximation to estimate the value of the given quantity cos 32° =Solve the derivative in R3: r(t) = (arctan(t), 2e2t, 8tet)The owner of a local hot dog stand has estimated that if he lowers the price of hot dogs from $2.00 to $1.50, he will increase sales from 400 to 500 hot dogs per day. Using the midpoint formula, the demand for hot dogs is ___________. A) elastic. B) inelastic. C) unit elastic. D) perfectly elastic.
- Estimate the time t (in min) at which the cars are again side by side.Make a table of average velocity and the make a conjecture about instantaneous velocity at the indicated point s(t)=40sin2t at t=0(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt