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Chapter 10 Solutions
Differential Equations and Linear Algebra (4th Edition)
- The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of a circle as a function of its circumference. Call this function r(C) , Find r(36) and interpret its meaning,arrow_forwardWhat is the composition of two functions, fg ?arrow_forwardUse your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.arrow_forward
- The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.arrow_forwardThe number of cubic yards of dirt, D, needed to cover a garden with area a square feet is given by D=g(a) . a. A garden with area 5,000 ft2 requires 50 yd3 of dirt. Express this information in terms of the function g. b. Explain the meaning of the statement g(100)=1 .arrow_forwardA Skydiver When a skydiver jumps from an airplane, his downward velocity, in feet per second, before he opens his parachute, is given by v=1761-0.834t, where t is the number of seconds that have elapsed since he jumped from the airplane. What is the velocity after 5 seconds?arrow_forward
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