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Two angry children 480 feet apart are headed straight towards each other-one at 15 feet per second and the other at 7 feet per second. Their mother responds to the crisis by sprinting back and forth between the children, hoping to calm them before they reach each other. Unfortunately, when she reaches each child, she is immediately rejected and rushes back to the other child. If the mother miraculously maintains a constant speed of 20 feet per second the entire time-while racing back and forth between the children-how far will she have run when all three of them collide?
Calculate the Taylor polynomials T2 (X) and T3 (X) centered at x = 2 for f(x) = ln(x + 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).
Make an amortization schedule showing: payment number, monthly payment amount, interest paid on the outstanding balance, portion of principle paid, and outstanding (unpaid) balance.
You place a cup of 210°F coffee on a table in a room that is 68°F, and 10 minutes later, it is 200°F . Approximately how long will it be before the coffee is 180°F? Use Newton's law of cooling: 180°F A: 1 hour B: 15 minutes
The American Orthopedic Foot and Ankle Society in a study of 356 women found that 313 women were wearing shoes that were at least one size too small.
How do you find the x intercepts in standard form
Find a normal vector to the level curve found in part a, at point P. Find the point on the intersection line of planes x + 3y - 2z = 11, 2x - y + z= 3 which is closest to the origin.
The practice court at the park is a rectangle. its width is exactly twice its length. the area of the practice field is 450 ft. what are the length and width of the rectangle?
If the perimeter of a rectangular picture frame must be less than 240 in., and the width is 28 in., what must the height of the frame be?
Find the ending balance in an account that opens with $6,610, earns 10.5% interest compounded monthly, and is held for 5 years. (Round your answer to the nearest cent.)
if there are 720 students in the school, how many do not take Spanish, French, and German?
The CN Tower in Toronto, at 1815 ft, is the world s tallest Colorado s Royal Gorge is the world s highest bridge. self-supporting tower (no guy wires). How long would it H an object to fall freely from the take an object to fall freely from the to..
suppose a function f is conjugate to a function g by the homeomorphism h. show that g is conjugate to f by the homeomorphism h-inverse. Use the fact that h-inverse is a homeomorphism whenever h is.
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