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One end of a rigid rod of length 3 feet is attached to a wheel of radius 1 foot, centered at the origin. The wheel is free to rotate about the origin. As the wheel rotates, the right end of the rod (the point labeled X in the figure) slides along the x-axis. Image link: https://preview.tinyurl.com/hxovvko
(a) Find an equation relating X and θ.
(b) Suppose that when θ = π/3, the right end of the rod is moving to the right at a rate of0.5 ft/sec. How fast (in radians per second) is θ changing when θ = π/3?
The base of a solid is a circle of radius ‘ a ‘, and its verticle cross section are equilateral triangles. Find the radius of the circle if the volume of the solid is 20 cubic meters.
the standard IQ test has a mean of 98 and the standard deviation of 14. We want to be 99% certain that we are within the 4 IQ points of the true mean. Determine the required sample size.
(a) What is the probability that a couple selected at random from this area has two incomes? (b) If a randomly chosen couple has two incomes, what is the probability that the annual income of this couple is over $125,000?
rent-a-car inc. provides daily auto rental services to individuals while their own cars are being repaired. annual
Show that a k-connected graph with at least 2k vertices contains a matching of size k. Is this best possible?
express logarithm into exponential form and solve logarithmic equation.anbsp express log42 12 in exponential
Bonni has two similar rectangular boxes. The dimensions of box 1 are twice those of box 2. How many times greater is the volume of box 1 than the volume of box 2?
She estimates that the revenue from the game will be $80,000 if it does not rain and $55,000 if it does rain. What must the chance of rain be if she is ambivalent about this insurance?
Find the x-intercept and the y-intercept for 2x-6y=4?
24. An old urn is discovered that looks like a cylinder except that the side is wavy. The urn is 6 inches high. Scientists want to estimate the volume of the urn so they measure its circumference at intervals of 2 inches, and produce the follow..
If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade.
In a four-factor analysis used in a multifactor evaluation process, it is desired to have the F1 importance weight four times as much as the F2 importance weight.
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