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ln 2 is wrong
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please answer question 4-7
Prove the arithmetic properties of the Cross Product 1. 2. a. Line L1 is parallel to the vector u Si+j, line L2 is parallel to the vector u-3i +4j and both lines pass through point P(-1,-2). Determine the parametric equations for line L1 and Lz b. Given line L:x(t)-2t+8,y(t)-10-3t. Does L and Ls has common 3. a. Find the equation of the plane A that pass through point P(3,-2,0) with b. Given A2 be the plane...
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...
I have three questions I need assistance on please: 1. To make an object start moving on a surface with friction requires (a) less force than it takes to keep it moving on the surface at constant velocity (b) the same force as to keep it moving on the surface at constant velocity (c) more force than it takes to keep it moving on the surface at constant velocity (d) a force equal to the weight of the object (2)...
An object's velocity as a function of time is shown in the plot below. The object begins at position s = 10 m at t = 0 s. What is the object's total displacement at t = 7 s? What is the object's position at t = 7 s? What is the total distance the object Innis moved between t = 0 and t = 7 s. What is the acceleration of this object at t = 1, 3, 5...
20. Suppose an object moves so that its velocity at time t is described by the function v(t) = t2 – 8t + 7. Express the total distance traveled by the particle from time t=0 to 1= 4 using an integral or combination of integrals. Then evaluate the integral(s) to determine the solution. You are allowed to use the integration capabilities of a graphing calculator to evaluate the integral(s).
Given information: An object is moving with velocity (in feet per second) described by the function v (t) = 4t + 1. We will reason about the object's position function, 8 (t). Question 1 How much does the position change over the time interval (0,4) Answer with a number only (units are feet) 36 Question 2 Question: Think back to the total change theorem. What additional Information would allow us to find a(4), the object's position at time t =...
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)...
1. Use integration by parts to evaluate the integral: ∫ 6z
cos(5z) dz
Use integration by parts to evaluate the definite integral. 5t2 In tdt Use integration by parts to evaluate the definite integral: 5se3ds J0.2 Preview Report answer accurate to 3 decimal places. A particle that moves along a straight line has velocity v(t)e3 meters per second after t seconds. How many meters will it travel during the first t seconds (from time-0 to time-t)? 2-3t Evaluate the indefinite...
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 +...
helpful formulas:
mu’’(t)+cu’(t)+ku(t)=0
m is the mass
c is the damping coefficiant
k is spring constant
Fd=cu’(t)
k=mg/(spring displacement)
A mass of 1.5 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous resistance of 25 N when the mass has a velocity of 2 m. The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.03 m and released. Find an function to express the...