4. The height of a sand dune (in centimeters) is represented by f(t)=700-3t, where t is...
Chapter 3, Section 3.1, Question 043 With t in years since 2016, the height of a sand dune (in centimeters) is f (t) = 700 – 21". Find f(5) and f' (5). Using units, explain what each means in terms of the sand dune. f(5) = f' (5) = the sand dune will be cm high and eroding at a rate of In the year centimeters per year.
height of helicopter above ground is given as h = 3t^3, where h is in meters and t is in seconds. After 2.00s the helicopter drops a bag. How long after is is released does the bag reach the ground?I know the answer is 7.96s, but do not know how to find it.
It's true — sand dunes in Colorado rival sand dunes of the Great Sahara Desert! The highest dunes at Great Sand Dunes National Monument can exceed the highest dunes in the Great Sahara, extending over 700 feet in height. However, like all sand dunes, they tend to move around in the wind. This can cause a bit of trouble for temporary structures located near the "escaping" dunes. Roads, parking lots, campgrounds, small buildings, trees, and other vegetation are destroyed when a sand...
Find the Laplace transform of g(t)=e4t +5cos(3t) - e3tcos(6t). f(t)=7e-3t+4+? - 12 3 h(t)=(10) 2
4. Find the convolution of the following functions a. f(t)=t g(t) = sin 3t b. f(t)=é g(t)=cos2t
The balance A (in dollars) in a savings account is given by A-7000ec, where t is measured in years. Find the rate at which the balance is changing when t = 1 year, t = 10 years, and 50 years. (Round your answers to two decimal places.) (a) t-1 year per year (b) t10 years per year (c)50 years per year The balance A (in dollars) in a savings account is given by A-7000ec, where t is measured in years....
Show how to graph please. Graph the function f(t)=3t(h(t−4)−h(t−9)) for 0≤t<∞0≤t<∞. Use your graph to write this function piecewise as follows: 3t(h(t−4)−h(t−9))={ if 0≤t<4,0≤t<4, if 4≤t<9,4≤t<9, if 9≤t<∞.9≤t<∞. Evaluate f(6.5) f(6.5)= a Graph the function f(t) = 3t(h(t-4) _ h(t-9)) for 0 < t < oo. Use your graph to write this function piecewise as follows: 3t(h(t -4) h(t 9)) if9<t<oo. help (formulas) b. Evaluate f(6.5) f(6.5) help (formulas)
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
Let T: R4 → R3 be the linear transformation represented by T(x) = Ax, where 1 A = 0 -2 1 0 1 2 3 . 0 0 1 0 (a) Find the dimension of the domain. (b) Find the dimension of the range. (C) Find the dimension of the kernel. (d) Is T one-to-one? Explain. O T is one-to-one since the ker(T) = {0}. O T is one-to-one since the ker(T) = {0}. O T is not one-to-one since...