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Problem 1
Find the formula for a function of the form y = A sin(Bx) + C with a maximum at (4, 3), a minimum at (12, -7), and no critical points between these two points.
Problem 2
Calculate the Taylor polynomials T2 (X) and T3 (X) centered at x = 2 for f(x) = ln(x + 1).
Problem 3
Use L'Hopital's Rule (possibly more than once) to evaluate the following limit
limt→0(12 sin(10t) ln(10t))
If the answer equals ∞ or -∞, write INF or -INF in the blank.
A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 420 yd of fencing is available, find the largest total area that can be enclosed.
use eulers method to calculate the first three approximations to the given initial value problem.use eulers method to
Find an equation that describes the position of point P above its rest position as a function of time. Take t = 0 to be the instant when the string is released.
Two trains are approaching each other on the same track. They are 500 miles from each other. One train is traveling at 40 mph, the other at 60 mph. A bird is flying back and forth between them at 150 mph. How long before they collide?
How do you solve for real valued general solutions for differential equations of the first, second, or third order?
Show how to convert any of the three container structures into any other - What is the shape of an array? How can it be changed? Provide an example.
Carol sells two types of PC monitors. She sold a total of 14 monitors last month. One model sells for $280 and the other sells for $435. If the total sales for the 14 monitors was $5,160, determine the number of each type of monitor she sold.
R2 is misleading when used for time-series analysis. what additional measures are available?
The limestone blocks from which an ancient pyramid was made weigh about 2 tons per cubic yards find the approximate wight of the pyramid having a square base of length 250 yards
What hypothesis testing model (my "models" handout) would be used under each of the following conditions. Use the "model number" from my handout if you wish. By line the information given in each cell is: Level of measurement, number of groups, sam..
Find the equation of the line through AC. Find the equation of the line through S which is parallel to AC. Another point T lies on the line through AB such that its x-intercept (10, 0) is the midpoint between S and T. Find the coordinates of the poi..
An Isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be inscribed as the semicircle changes size. The area of the semicircle is increasing at the rate of 1 cm^2/sec when the radius of the semicircle is 3..
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