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Example 4: Use inverse functions to find radius of right circular cone. Five right circular cones, with the same height h = 50 cm, are to be constructed. The volumes of these cones are to be 200, 400, 800, 1600 and 3200 cm3. Find the radius of the base of each cone.
Find the steady state response to a simple harmonice input of period 2pi/omega and amplitude alpha. Give the amplitude and phase for the component x_3(t) only.
A poster is to have an area of 220 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an
The angle of elevation of a balloon from an observer A is 30 degrees and from observer B, 45 degrees. If the distance between A and B is 800 + 800√3 meters, how high is the balloon?
Continental charges $20 per day in addition to $.50 per mile to rent out the same truck. How many miles must you drive in a day to make the rental cost for Basic Rental a better a deal than that for Continental?
Give a counter example and then prove why, i.e., a metric space and a sequence, that disproves the claim: Every Cauchy sequence converges.
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
Neglect air resistance and use g = 32 feet per second per second for the acceleration due to gravity. With what velocity does the sandbag strike the ground?
What is the missing term in the geometric sequence?
determine accumulated rates of change using definite integral.give another example with solutions to emphasize that the
off with an initial velocity of u (at km/hr) and accelerates at a steady rate (a = km/hr2) for a time of t hours. Using the ‘area under the curve' method, derive and explain the equation to calculate the distance travelled: Distance travelled, s =..
First rewrite the equation as f(x) = g(x) where
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