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Write an intergal that represents the area of surface generated by revolving the curve about the x-axis. approximate the integral.
Parametric Equation
x = (1/4)t2 y = t+3 interval 0 ≤ t ≤ 4
Law of sines.
Probability and computing the odds. Compute the odds of each of the following events and rank them in order of decreasing likelihood.
after the given number of years. Write an equation that represents the amount N of plutonium- 240 remaining after t years
Conclude from the previous part that lim sin(1/x) as x goes to 0 does not exist.
A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
An IRS auditor randomly selects 3 returns from 59 returns of which 10 contain errors. What is the probability of her selecting NONE of those that contain errors?
From the concepts in the readings from Week Two, provide at least one real-world application of algebraic concepts as it would apply to one of the following areas: business, health and wellness, science, geometry or other math concepts, or sports.
The following model is proposed to describe population growth in a confined space. The excess of births over natural deaths causes a growth rate of a times the current number of individuals N.
A sample of 13 brands of caffeinated coffee had a mean caffeine level of 119.6 mg and a standard deviation of 52.5. The population is normally distributed. Compute a 90% interval for the mean caffeine level.
A triangle has sides measuring x+7, 2x+3, and 5x-6. Write and simplify an expression that represents the perimeter of the triangle.
From city A to city B, a plane flies 650 miles at a bearing of 48 degrees. From city B to city C, the plane flies 810 miles at a bearing of 115 degrees. Find the distance from city A to city C and the bearing from city A to city C?
Let U be a uniform random variable on the interval (-pi/2, pi/2). Let X=sinU. Find the probability density function of X and calculate E(X) and var(X).
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