The velocity of truck (in miles per hour) is given by v(t) = 4(t)^3/2 + 4/t - 3, where t is in hours.
a. Write a definite integral for the distance the car travels between t = 1 and t = 3.
b. Sketch a graph of velocity against time and present the distance traveled during t = 1 and t = 3 hours as an area on your graph.
c. Use Fundamental Theorem of Calculus to find this distance.
The velocity of truck (in miles per hour) is given by v(t) = 4(t)^3/2 + 4/t...
Spokesperson Strategy Analyst: Critical Thinking Question: to be agreed upon by the group, and written below by the recorder. For the bicycle in Model 1, write down an integral that gives the change of position fromt 6 tot 10. Give an estimate of the value of this integral based on work done in the activity and explain how you got your estimate. Be sure to write complete sentences, and include your printed first and last names, and UIDs. 10 For...
following integral using the Fundamental Theorem of Calculus. Sketch the graph of the integrand and shade the region whose net area you have found , 6-3. 1/2 1/2 Evaluate the following integral using the fundamental theorem of calculus. Sketch the graph of the integrand and shade the region whose net area you have found. 2x-3)dx = following integral using the Fundamental Theorem of Calculus. Sketch the graph of the integrand and shade the region whose net area you have found...
Help me please 7. (Lesson 1.4) Express the net area of the shaded region in Figure 2 below with a definite integral. Then use the Fundamental Theorem to evaluate it Fieure 2. Figure 3 (Lesson 1.4) Find the equation of the line in Figure 3 above and express the net area of the shaded region with a definite integral. Then use geometry to compute it 8. 9. (Lesson 1.5) (a) If an object travels along a line with constant velocity...
10. The velocity function of a particle is given by v(t) = 2t - 4 on the interval (0,4), where t is measured in seconds, and velocity is measured in meter per second. Sketch the graph of the velocity function, determine the displacement over the given interval and find the total distance traveled by the particle over the given interval.
Suppose the velocity V in meters per second) of a runner during the first few seconds of e race is given by t ins 0.5 11.5 2 2.5 V in m/s0 4 8.515.119 25 in the tv endpoint approximation and width 0.5 Plot these points in the plane. Sketch the velccity curve. Estimate the distance traveled by the runner by estimating the area under the velocity curve; use rectangles with heights given by a right endpoint approximation and width plane....
The wind velocity v, is 40 miles per hour from east to west while an air speed v, of 100 miles per hour due north airplane travels with (a) Find the speed of the airplane relative to the ground, vi + v2. (b) If the plane starts at (1,3), what is it's position after 90 minutes? The wind velocity v, is 40 miles per hour from east to west while an air speed v, of 100 miles per hour due...
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2 3 dt t 1 2 dt = t 1 (Type an exact answer.)
4. Suppose you take a one hour car ride, and this is the graph of your velocity as a function of time during the trip. velocity (miles per hour) Po 10 50 60 20 30 40 time (minutes) (a) What is your velocity (in miles per hour) at the 50 minute mark of your trip? (b) What is the total distance (in miles) that you travel during the trip? (c) Did you travel further during the first 30 minutes or...
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Given the function f, evaluate f(-1), f), f(2), and f(4). Sx²-3 if x < 2 f(x) 6 + [x - 5] if x 2 2 f(-1) = f(0) f(2) f(4) = A car travels at a constant speed of 50 miles per hour. The distance, d, the car travels in miles is a function of time, t, in hours given by d(t) = 50t. Find the inverse function by expressing the time of travel in terms of the distance traveled....