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find parametric equations for the tangent line to the curve with the given parametric equations, x=2cost, y=2sint, z=4cos2t, at the specified point (sqrt(3),1,2)
The preferred seating area of a music theater has a base that measures 34 yd and a height of 39.6 yd. Find the area if the shape of the theater is
A grapefruit is tossed straight up with an initial velocity of 58 ft/sec. The grapefruit is 6 feet above the ground when it is released. Its height at time T is given by y=-16T^2+58T+6. How high does the grapefruit go before returning to the groun..
Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Also, suppose that f(a) = f(b) and that c is a real number in the interval such that f'(c) = 0.
The average amount of evapotranspiration at Beowawe (water vapor being transferred to the atmosphere by evaporation and plant activity) is 51.17 inches per year. How many acre-feet of water are evapotranspirated at Beowawe on the average every yea..
The Kraft Co. manufactures computer chips at a variable cost of $4 per chip and sells them for $10 each. If the fixed cost is $12,000 per month, what is the number of chips they would need to produce at the break-even point?
What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.00 m/s?
An airplane takes off at a 14° angle and travels at the rate of 350 ft/sec. Approximately how long does it take the airplane to reach an altitude of 15,000 feet? (Give the answer to two decimal places.)
Perform the last step in the hypothesis test. Do you reject the null hypothesis or fail to reject the null hypothesis?
cylender find the shaded area diameter small inside cylender is 1 and the height is 5 the shadded area the radius is 3 and the height 5 what is the shaded area.
A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answ..
two cars leave a city and heads in the same direction after 6 hours the faster car is 30 miles ahead of slower car.
In order to achieve maximum aerobic exercise, one should maintain one's heart rate at a certain level. a 40 year old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 142
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