Amount of rainfall The total number of inches R(t) of rain during a storm of length t hours can be approximated by at R(t) : t+ b' where a and b are positive constants that depend on the geo- graphical locale. (a) Discuss the variation of R(t) as t→ o. (b) The intensity I of the rainfall (in in./hr) is defined by 1 = R(1)/t. If a = 2 and b = 8, sketch the graph of R and I on the same coordinate plane for t > 0.

Q: Find an equation of the tangent line to the curve y 4t at the point (3, 3). t+1

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Determine the signs (positive, negative, or zero) of y = f(z) (shown in graph) and f'x) and f"(z)…

A:

Q: v = f(h) = 4/400 – h , 0 < h < 400 expresses the speed (in ft/sec) of a ball in terms of its hcight,…

A:

Q: 69. Suppose that f(1) = 2 f'(1) = 3 f(2) = 1 f'(2) = 2 13D %3D g(1) 3 g'(1) = 1 g(2) = 1 g'(2) = 4…

A: By Given conditionSolve only question 69 (d)Given :c(x)=f(g(x))f(1)=2, f'(1)=3, f(2)=1,…

Q: If F(x) = f(g(x)), where f(-5) = 9, f'(-= 7, f'(4) = 2, g(4) = -5, and g'(4) = 4, find F'(4). %3D…

A:

Q: Find the derivative. y = sinh-1(tan(x)) y'(x) =

A:

Q: 19. y = tanh(e*)

A: Given; y=tanh(ex).

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: (.) given function is,              (.) Equation of line tangent to the graph of a function  is,…

Q: Estimate f(5.03) for f as in the figure. y=f(x) (10, 4) Tangent line (4, 2) (Give your answer to…

A: