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The distance S, (in feet) covered by a car t seconds after starting from rest is given by: S(t) = -t3 + 8t2 + 20t; (0 ≤ t ≤ 6) find the general expression for the car's acceleration at any time t, and show that car is decelerating 2(2/3) seconds after starting from rest.
A company uniformly receives 20 phone calls from 9am -7 pm What is the probability that the number of calls between 12 :00 and 1:00 will be:
Find the polynomial of degree five whose graph goes through the points (0,5), (1,-1), (2,5) and whose slope at x=0 is -1, at x=1 is -2, and at x=2 is 3.
A triangle with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest..
Ace Industries has current assets equal to $3 million. The company's current ratio is 1.5, and its quick ratio is 1.0. What is the firm's level of current liabilities? What is the firm's level of inventories?
Sixty feet of fence is needed to enclose a rectangular dog pen. The length od the pen is 3 more than twice the width of the pen. What are the dimensions of the pen?
How we can find out the mathematical model of self adjoint singularly perturbed equation from chemical catalysis and Michaelis-Menten process in biology.
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
A poster is to have an area of 180 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.)
It takes a force of 21,714 lb to compress a coil spring assembly on a New York City Transit Authority subway car from its free height of 8in. to its fully compressed height of in.
An animal population can be modeled by function p(t) = 6+5.2*e^(0.02t). What is the average size of the population of these animals over the first 10 years.
Linear Mappings, Differentiation and Linear Spaces, If l is a nonzero scalar linear function on linear space X (which may be finite or infinite) and a is an arbitrary scalar, there exists a vector x in X st l(x)=a
Indicate whether each system is independent, inconsistent or dependent
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