If it takes someone tt minutes to drive, run, or walk a mile, then their average speed s(t)s(t), in miles per hour, is given by the formula
s (t)=60/t for t>0
Find s (1) and s (10)
s(1)
s(10)
A painting is purchased as an investment for $125$125. If its value increases continuously so that it doubles every 66 years, then its value is given by the function
V(t)=125⋅2
2t/6V(t)=125⋅2t/6 for t≥0t≥0
Let f(x)= x^3+, Evaluate the following
a.f(a)+2 =
b.f(a+2)=
c.f(g+c)
d.f(g+c)
Let f(x)=1/x-2 and g (x)=1/x+4
a.f(1/2)=
b. g(1/2)=
c.f(-1/3)=
d. g(-1/3)=
If it takes someone tt minutes to drive, run, or walk a mile, then their average...
A fast-food restaurant operates both a drive-through facility and a walk-in facility. On a randomly selected day, let X and Y , respectively, be the proportions of the time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is f(x, y) = C(x + 2y) if 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1, f(x, y) = 0 else. (a) Determine the value of C. ANSWER:...
0<t<T when Tt< 2 t 2T sin t when 2. Calculate the Laplace transform of the periodic function f(t) 0 f(t-2) when -7s 3. Calculate the inverse Laplace transform of G(s) 3-4e-5 + $2+2s+17 4. Use the Laplace transform to solve each initial value problem: 4y"+ y u2m(t)sin(t/2) y(0)=0 &(0 =0 (a) 0 and /(0) 2 "+4y+13y = 4to(t-T) if y(0) (b) 5. Use the convolution to write a solution of each initial value problem. y"+6y'+10y g(t) 1 y(0) 0...
Let f(t) = 2t + 4. f-1(s) Let g(x) 2 + 1 g-(3) Below is an input-output table for the function h(x). х h(x) 2 0 1 1 2 الها 3 1 4 0 h-(3) = Now consider the following graph: 5 3 2 -5 -4 -3 -2 -/ 2 Cat 3 4. -2 3 -4 -5+ q
USE DEFINITION 1 TO DETERMINE THE LAPLACE TRANSFORM OF THE FOLLOWING FUNCTION. f(t)= e sin(t) Laplace Transform Definition 1. Let f(t)be a function on [0,00). The Laplace transform of f is the function defined by the integral The domain of F(s) is all the values of " for which the integral in (1) exists.' The Laplace transform of fis denoted by both and ${/}. QUESTION 2. (3PTS) USE TABLE 7.1 AND 7.2 TO DETERMINE THE LAPLACE TRANSFORM OF THE GIVEN...
Only 1-4) X, be a random sample from N(4,a ), , and let X and S be sample mean and sample 1. Let variance, respectively. In Order to show that and S are independent, tollow the steps below. and show the joint pdf of X,X3,*, X 1-1) Use the change of variable technique = Nx = x - is (п-1)5? п(т-и? f(E,x,) еxp ov2x 2a2 Use Jacobian for n x n variable transformation 1-2) Use the fact that X~N(u,a n)...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
Can someone please check to see if I am doing this right? Please write legibly if you post revisions in comments, thank you! (5) Let A {q, r, s, t and B = {17, 18, 19, 20}. Determine which of the following are functions. Explain why or why not. а. fSAX В, where f — 1. q, 17), (r, 18), (s, 19), (s, 20) Answer: this is a function because in function 'f element 's' is related to 1 element...
ed Let S: x2 + y2 =9,05z57 be the surface of a closed cylinder bounding a volume T. F=[y?, x?, 22). Use the Divergence theorem to evaluate the surface integral $ff.nda 2.00 on and answer the following questions: S 3. Choose the value of divF dxdydz: H. 144 T 1. 2025T Choose... J.441 TT K.5550 L 325T 2. Choose the value of divF: D. 2x+2y + 2z E. 2x F. 2y G. 2z Choose... 1. Choose the correct equation from...
Whats the answer to number 1? 1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j + ick)...
what is the answer for number 4 1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j +...