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A particle moves according to a law of motion s = f(t) = t3 -9t2+24t, t ≥ 0, where t is measured in seconds and s in feet,
Find the velocity at time t.
What is the velocity after 4 s?
When is the particle at rest?
When is the particle moving in the positive direction?
Find the total distance traveled during the first 6 s.
How much wire should be used for the square in order to minimize the total area?
the length of the rectangular playing field is 3 yards longer then double the length. If the perimeter is 252 yards, what are the dimensions?
Suppose that f(x, y) = x2y4 is defined over a domain Ω = {{x, y)|x2 + y2 ≤ 1} (a circle of radius one in the xy-plane). Calculate the normal derivative of f(x, y) at P. Calculate the tangential derivative of f(x, y) at P.
What is the mathematical relationship between the α level and the confidence level of a hypothesis test
What is the pattern among this set of ordered pairs? (0, 4), (1, 0), (2, -4), (3, -8)
Calculate the energy required to produce 7.00 mol Cl2O7 on the basis of the following balanced equation.
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
An oil storage tank is in the shape of a cylinder, is 5 m high and has a diameter of 8 m. The oil tank is three-fourths full. Find the number of cubic meters of oil in the tank. Round to the nearest hundredth. Use 3.14 for pi.
Use mathematical induction to prove that the following statements are true. For n ≥ 1, the sum of the first n positive integers equals n(n+1)/2 , i.e.,
How many bacteria will be in the culture after 7 hours? 1 5. (4 points each) Consider the function f (x) = x + . x (a) What is the domain of the function?
A two digit number is such that the product of its digits is 35. When 18 is added to the number, the digits interchange their places. Find the number. A motor boat whose speed is 18 km/hr in still water takes 1 hour more to go 24 km upstream than to ..
A spring has a natural length of 24 cm. If a 28 N force is required to keep it stretched to a length of 36 cm, how much work W is required to stretch it from 24 cm to 32 cm? (Round your answer to the nearest hundredth.)
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