In 5(x), the spike shifts to x = . It is the derivative of = shifted step U(x-1). The integral of v(x)d(x − ‡) equals e value of v at x=+. Compute (b) f' e*d(x − 1)dx; (a) ſ', 8(x − ‡)dx; (c) 5¹, 8(x)(x - 1)dx.

An economist is interested in how the price of a certain item affects its sales. When the price of the item is $ p, the number of items sold will be q = f(p). (This is the idea of "demand") Suppose we found out that f(150) = 2,000 and that f'(150) = -25. (a) Sketch the information of two boldface statements in a quick picture/sketch: (b) Write out in words what the first statement f(150) = 2,000 means in the context. (c) The fact that the derivative is negative reflects what natural phenomenon? (d) Write out in words what the statement f'(150) = -25 means in the context. (Add in appropriate units!) (e) Use the information given to estimate f(151) and f(149.5). Show your work, and explain your rationale for proceeding as you did. A little picture would be ideal to explain your thinking.

Find PDP^-1

If the half life of a radioactive substance is 14 days and there are 6.6 grams present initially, when will there be 1 gram remaining? [?] days Use the function f(t) = Pert and round your answer to the nearest day. yright © 2003-2023 International Academy of Science. All Rights Reserved. Accessibility: investigate Q Search 5 J O & EX3 I' RTYU DELL 7 8 F9 F10 Enter A Foc