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Differentiate the function. h(t)= In St In 16t 1 o 1 1 16t 8t In 2...
The velocity of an object is given as a function of time by v=8t+6t^2-16t^3. v is in m/s and time is in sec. Its average velocity over the time interval from t=0 to t=3?
Differentiate the function. F(t)= - +8t+5 - -5t + 10 F(t) =
Evaluate the following function at the values t+2 and t+h. 3 g(t) 5t-8t g(t+ 2) (Simplify your answer. Type an expression using t as the variable. For the following function, determine the difference quotient x+h)- f(x) h f(x) 5x-9x fix+h)- fx) h (Simplify your answer. Use integers or fractions for any numbers in the expression.) .Z.O Find the x-intercept(s) and the y-intercept of the function P(x)-3x +22x2 +7x Select the correct choice below and fill in any answer boxes within...
The velocity function of a rectilinear motion in (m/s) is given by the v(t) = 8t - 3, 2 st 55 Find the distance travelled during the given time.
The path of a missile is given by h(t) = -16t² +64t + 256, where h(t) represents the altitude of the missile after t seconds. What is the maximum height reached by the missile? 192 ft 400 ft 256 ft None of the given choices Question 6 Find all the solutions to the following equation. (3x – 1)2 = 1 Check ALL that apply 2 = 0 2 2= 3 2= U Nico -2 2= 3
Need both answered please! 1. A particle moves with acceleration function a(t) = 8t + 5. Its initial velocity is v(O) = -4 cm/s and its initial displacement is s(0) = 5. Find its position after t seconds. s 2. The equation of motion of a particle is S = t3 - 9t, where s in meters, and t is in seconds. Find a) The velocity and acceleration as a function oft b) The acceleration after 4 seconds.
5-The following function models the rate at which the ozone level in a suburb of a city is changing (parts per million per hour, ppm/h) t hours after 7:00 A.M 0.24-0.3t R(t)- 36+16t -t2 Express the ozone level as a function of time if the ozone level is 4 ppm at 7:00 A.M 5-The following function models the rate at which the ozone level in a suburb of a city is changing (parts per million per hour, ppm/h) t hours...
Differentiate the function f(t) = sin^2 (e^sin^2 t)
[12] The position function of a fly is given by F(t)=(+2,75,2 – 16t). When is the speed of the fly at a minimum? Round to the nearest whole number. The speed is at a minimum at time, t =
(2) 1-2 st 32 sec Given: xi(t) = {0 elsewhere and xz(t) = {o -2 st 32 sec elsewhere Use Fourier transform pairs/theorems to find the convolution z(t) = x1(t) * x2(t). Express your final answer in the time domain. (25 pts)