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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?
The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (-4, -2)where f'(c)=0.
Find the value of the polynomial 8x – 6 when x = 1 and when x = –1.
Estimate the area under the graph in the figure by using
Find all critical numbers (x coordinates). Where is the function y = f(x) increasing? Where ia the function y = f(x) concave down? Find the x-coordinate of the inflection point.
In a box there are 7 red spheres and 12 blue spheres. 2 spheres are taken without return. If the third sphere is red, what is the probability that 2 first spheres are blue ?
the sleeping aid ambien has a biological half-life of about 1.5 hours.nbsp assume someone takes a 10 mg dose at 900
Sand is leaking from the back of a dump truck and forming a conical pile on the ground. The sand is leaking at the rate of 0.2 m3 per hour. If the base radius of the pile is always 0.6 times the height, how fast is the base radius changing when the ..
32 feet per second squared 2 (the gravitational acceleration at the Earths surface). What is the greatest height that the stone reaches, and when does it reach that height?
The lengths of the sides of a triangle are three consecutive odd integers. The perimeter of the triangle is 45 cm. What is the length of the SHORTEST side of the triangle
A car is traveling at 94 km/h when the driver sees an accident 50 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
Suppose this ice cream store deposits its receipts in an account paying 5% interest per year compounded continuously. How much money will it have in the account at the end of August?
MA3410: Calculus Project - Application of Calculus. What is the terminal velocity in each case in Step 7? Find an expression for the terminal velocity in terms of m, g, and K. How does the terminal velocity vary with K
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