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A particle is moving along the curve y=3√2x+2. As the particle passes through the point (1,6)(1,6), its xx-coordinate increases at a rate of 55 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
In traveling three-fourths of the way around a circle a car travels 0.224 mi. What is the radius of the traffic circle? (Do not round until the final answer. Round to the nearest thousandth as needed)
Let S be a given sample space and let E and F be two events that have no common outcome and their union is S. If P(E)=0.3, then find P(F).
Suppose that f is continuous on [a, b] and differentiable on (a, b) and that m = f (x) = M on (a, b).
What is the period and frequency of a 10-pound weight oscillating (as a pendulum) on a 5-meter-long rope
Calculating Projected Net Income. A proposed new investment has projected sales of $825,000. Variable costs are 55 percent of sales, and fixed costs are $187,150; depreciation is $91,000. Prepare a pro forma income statement assuming a tax rate of..
Find the equation of the line and you can write your answer in the following form: p = mx + b. Normally in this class, you would probably use the "y = mx + b" format. You are basically substituting the variable "y" with "p"
(a) Find the probability that a randomly selected machine will be useful for more than 4 years. _________ (b) Find the probability that a randomly selected machine will be useful for less than 5 years. __________ (c) What is the expected useful life ..
The voltage, V , in volts, in an electrical outlet is given as a function of time, t, in seconds, by the function V = 156 cos(120pt).
Calculate the result from the given survey of voters - Evaluate the standard deviation from the range (i.e., use the range rule of thumb).
If 20 units of A are required in Week 10, use the low-level-coded bill of materials (product structure tree) to ?nd the necessary planned order releases for all components.
An avid math student wrote to a friend, "My sailboat has a right triangular sail with edges (in ft) of 3k - 1, 4k + 3, and 5k + 2.
1. Suppose f (x) = x. Find the lower and upper riemann sum when a = 0 and b = 2 for a general n. 2. Suppose f (x) = 3x. Find the lower and upper riemann sum when a = 0 and b = 1 for a general n 3.Suppose f (x) = 2x. Find the lower and upper riemann s..
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