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When a particle is located a distance x meter from the origin, a force F( x )(newton) acts on it. Given F'(x) = 16.3.arctan(x - 8.5), F(8.5)=0. How much work is done in moving it from x=0 to x=8.5.
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"x+\\sqrt{12-\\sqrt{x}}=12"
Solve this equation for x.
Please provide the full steps.
The weights of a large number of miniature poodle are approximately normally distributed with a mean of 8 kilograms and a standard deviation of 0.9 kilograms. If measurements are recorded to the nearest tenth of a kilogram, find the fraction of these poodle
A real estate agent wishes to determine whether tax assesso s and real estate appraisers agree on the values of homes. A random sample of the two g oups appraised 10 homes. Is there a significant difference in the values of the homes for each group? Let a = 0.05. Assume the data are from normally distributed populations.
Reference Points
x
s
n
Starting Salaries
Real Estate Appraisers
php 83 256
php 3256
10
Tax Assessors
php 88 354
php 2341
10
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.
2y = 4sqrt(x), y=5 and 2x + 2y =6.
There is a line through the origin that divides the region bounded by the parabola
y = 6x - 7x2 and the x-axis into two regions with equal area. What is the slope of that line?
A proofreader is interested in finding the probability that the number of mistakes in a page will be less than 10. From his past experience he finds that out of 3600 pages he has proofed, 200 pages contained no errors, 1200 pages contained 5 errors, and 2200 pages contained 11 or more errors. Can you help him in finding the required probability?
In a plant box consisting of 120 seedlings, 80 seedlings were treated with growth enhancer. Estimate p and q. What is the Point Estimate and Standard Deviation?
How many different samples of size 3 ( n = 3 ) can be selected from a population with a size of 10 ( N = 10 ) ?
Find the center of mass for each of the following regions.
1. The region bounded by y = x^3 ,x = -2 and the x-axis.
