Question Solved1 Answer 12. A certain sum of money p draws interest compounded continuously. If at a certain time there is po dollars in the account, determine the time when the principal attains the value 2Po dollars, if the annual interest rate is (a) 2% or (b) 4%

Question 4 Multiple Choice Worth 1 points) (08.07 MC) What is the integral expression for the volume of the solid formed by revolving the region bounded by the graphs of y = x2 - 3x and y = x about the horizontal line y = 6? * 18 (6 - x2 + 3x)2-(6- x)?dx o Tejo (6-x2+3x)2 - (6 - x)?dx OTS (6 - 12 - (6 - x2 + 3xPdx Orla (6 - XP2 – (6-x2 + 3x)?dx Question 5(Multiple Choice Worth 1 points) (08.07 MC) Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2, x = 3, and y = 0 in quadrant I about the y-axis. 9rt 1817 817 2 457 2 Question 2 Multiple Choice Worth 1 points) (08.06 MC) 2 A region in the first quadrant is bounded by the graph y = x, the y-axis, and the horizontal line y = 4. What is the volume of the solid generated when this region is rotated around the y-axis? O 256 27 3211 048 O 1621 Question 4 Multiple Choice Worth 1 points) (08.06 MC) Let R be the region in the first quadrant bounded by x2 - y2 = 16, the horizontal line y = 0, and the vertical line x = 5. What is the volume of the solid formed by revolving R about the x-axis? 4.3333 13.6136 18.7778 O 28.2743 Question 5(Multiple Choice Worth 1 points) (08.06 MC) A region in Quadrant II is bounded by the graph y = (x + 3)2 and the horizontal line y = 9. Which of the following gives the volume of the solid generated when the region is revolved around the horizontal line y = 9? Ov=%((x+3)2 - 92 dx OVER 9-(x + 3)2 dx OV = *(9-(x+3)2)2 dx OV=TL6(x+3)2 – 9dx

Q2) Simplify the following expressions as much as you can using Boolean algebra theorems and postulates. (A + BC) + (DE + F) (A + BC)′

  A skateboarder is attempting to make a circular arc of radius r = 19 m in a parking lot. The total mass of the skateboard and skateboarder is m = 94 kg. The coefficient of static friction between the surface of the parking lot and the wheels of the skateboard is μs = 0.68 .   A.)  What is the maximum speed, in meters per second, he can travel through the arc without slipping?   (b)  He speeds up very slightly and begins to slide. The coefficient of kinetic friction is μk = 0.27. What is the new magnitude, in meters per squared second, of his radial acceleration? 

Two charged particles, q1 and q2, are located on the x-axis, with q1 at the origin and q2 initially at x1 = 14.5 mm. In this configuration, q1 exerts a repulsive force of 2.62 µN on q2. Particle q2 is then moved to x2 = 18.6 mm. What is the force (magnitude and direction) that q2 exerts on q1 at this new location? (Give the magnitude in µN.) magnitude µN direction −î 6. [1/2 Points] DETAILS PREVIOUS ANSWERS SERPSE 10 22.3.OP.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two charged particles, 94 and 92, are located on the x-axis, with q, at the origin and q2 initially at x2 = 14.5 mm. In this configuration, q, exerts a repulsive force of 2.62 UN on 42. Particle qz is then moved to x2 = 18.6 mm. What is the force (magnitude and direction) that qz exerts on 9, at this new location? (Give the magnitude in uN.) magnitude μΝ direction -i

Given that the area immersed in the gap is changing as the coil enters the gap, what is the correct expression of Faraday's Law for this situation? That is, find the induced voltage as a function of the velocity of the glider, \( v \), the flux density inside the magnetic gap, \( B \), and other quantities you can measure from the video. Hint: This is an Given that the area immersed in the gap is changing as the coil enters the gap, what is the correct expression of Faraday's Law for this situation? That is, find the induced voltage as a function of the velocity of the glider, v, the flux density inside the magnetic gap, B, and other quantities you can measure from the video. Hint: This is an example of a motional emf, which is something that we covered in the lecture. You should already know the equation for this.

3.77 If P 20 lb in the figure, replace the three couples with a single equivalent couple, specifying its magnitude and the direction of its axis.