Help with this calculus problem involving the Fundamental Theorem of Calculus please? A piece of wood...
Problem 4: Fundamental Theorem of Calculus Fundamental Theorem of Calculus I (15 Points, 3 Points Each) below, you will see the function F(u) and a graph depicting the function. Note that it is impossible to compute F(v) exactly by antidifferentiation, so please do not try as it is not the point of this problem. F(y) = y For each problem (a) through (e) that follows, you need to compare the quantities in Column 1 and Column 2 and write your...
Please explain your answer clearly. 4. Use the Fundamental Theorem of Calculus to find v(t) and a constant A such that A+ ſ vo(t)dt =z, where I >0.
please help with problem (6) Use the following graph of the velocity function v(t) of an moving in a straight line to answer the following questions (a) Find the displacement of the object between t = 0 and t = 5. (b) FInd the distance traveled by the object between t = 0 and t = 5 (c) What is the position of the object at t = (d) Sketch the graph of s(t) assuming s(0) = 3. Your graph...
(10 pts) Suppose an object moves along a line with velocity v(t) = 3+- 18t +24, for 0 st < 5, where t is measured in seconds and velocity have unit of ft/s. (a) Determine when the motion is in the positive direction and when it is in the negative direction. (b) Find the displacement of the object on the interval 0 st 35. (c) Write down an expression for the distance traveled by the object over the interval 0...
Please I need help with question #7 C. 5. 9. 10. 11 Given the rate of change of a quantity and its initial value explain how to find the value of at a future time 1 2 0. 6. What is the result of integrating a population growth rate between times I = a and 1 = b. where b > a? Basic Skills 7. Displacement and distance from velocity Consider the graph shown in the figure, which gives the...
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...
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...
Consider an object moving along a line with the following velocity and initial position. Assume time t is measured in seconds and velocities have units of m/s. Complete parts (a) through (d) below. Consider an object moving along a line with the following velocity and initial position. Assume time t is measured in seconds and velocities have units of m/s. Complete parts (a) through (d) below. v(t) = -1-2cos for Osts (0) = 0 (**). a. Over the given interval,...
Problem #1 (35 Points) Given The velocity of a particle as it moves along a straight line is given by v (-12+36t-6t2) ft/s, where t is in seconds. At the initial condition ( 0), so 2 ft. Find a) The acceleration of the particle as a function of time. b) The acceleration of the particle when -6 seconds. c) The position of the particle as a function of time. d) The position of the particle when -6 seconds. e) The...
1) The integral l = Jo sinx dx is important in the design of precise photographic lenses (among other applications). The function fx)hoever, has no elementary antiderivative, so The sir Fundamental Theorem of Calculus cannot be used to calculate the value of the integral. Use the Trapezoidal Rule, the Midpoint Rule and the Simpson's Rule to approximate the numerical value of the integral. Use n 10. 2) The following data shows the velocity vit) recorded by instruments on board a...