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A rod has length 3 meters. At a distance x meters from its left end, the density of the rod is given by δ(x) = 1 + 7x g/m.
Complete the Riemann sum for the total mass of the rod (use Dx in place of Δx).
Write about the relation between differentiation and integration - Write about the properties of definite integrals, the relation between under the graph of the function and the integration.
A 20-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the building, what is the angle of elevation of the ladder? How high does the ladder reach on the building?
Find the Tangent, Normal and Binormal vectors at the point (1,0,0) . I have found the value of r prime t to be -sin t, cost (t), -tan (t) and the magnitude of r prime t to be sec(t)
A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes. What constant deceleration is required to stop the car in time to avoid a pileup?
a machine fills 100-pound bags with white sand. the actual weight of the sand when the machine operates at its standard
(1) At a nominal annual interest rate of 14% convertible quarterly, how long will it take youto double your money? (Provide an answer in years, to two decimal places.)(2) If you invest $10,000 now, how much will you have five years from now if your m..
Determine the present value P you must invest to have the future value A at simple interest r after time t.A=6000.00 r=13.5% t=3months
A worker on scaffolding 70 ft above the ground needs to lift a 450 lb bucket of cement from the ground to a point 25 feet above the ground by pulling on a rope weighing 5 lb/ft. How much work is required?
Formulate a differential equation for the water temperature T(t). Specify your units for time and temperature, and the initial values.
Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
evaluate the steady-state concentration.under some conditions the rate at which the concentration of a dissolved
A box of books weight 100lbs. The box itself weights 12 oz. If the box holds 16 books, what is the average weight of each one? (Round your answer to the nearest half-pound)
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