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Solve the given problems by finding the appropriate derivative.
A connecting rod 4 cm long connects a piston to a crank 2 cm in radius (see Fig. 27.44). The acceleration of the piston is given by a = 2w2(cos θ + 0.5 cos 2θ).If the angular velocity w is constant, find θ for maximum or minimum .
A metal storage tank with volume 9π is to be constructed in the shape of a right circular cylinder surrounded by a hemisphere. What dimensions will require the least amount of metal?
The Family Arts Center charges $21 for adults, $13 for senior citizens, and $7 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $9833 for 745 tickets sold. There were 47 more children th..
Translate the problem into a system of 3 equations using 3 variables. solve the system. the sum of the digits of a three-digit number is 12. the tens digit is 2 less than the hundreds digit, and the units digit is 4 less than the sum of the oth..
If the wholesale price of an item is 18.7% less than the retail price. The wholesale price is how many times the retail price?
Eight months later the insurance company canceled his policy because of a failure to correct a fire hazard. What did Warren have to pay for the 8 months of coverage?
Find the number of issues of the magazine that the newsstand owner can expect to sell per week.
The heights of 1000 students are normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters .Assuming that the heights are recorded to the nearest half-centimeter,how many of these students would you expect t..
Find the stationary points of f and classify each of the stationary points - Determine the second-order Taylor polynomial for f near (2,1) and Find the solution of the simultaneous linear differential equations
Find the (x, y) coordinates of the two intersection points. Find the equations of the tangent lines to r = 770 + 770 cos(θ) at the point of intersection that lies above the x-axis.
the boat's position during the interval of time from t=2s to t=10s is given by s= 4t+2.6t^2-0.08t^3 m
Solve this linear problem graphically and determine optimal quanitities of A, B, and value of Z.
What is the probability of not either A or B
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