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Volumes of solids Choose the general slicing method, the disk/washer method, or the shell method to answer the following questions.
24. What is the volume of the solid whose base is the region in the first quadrant bounded by
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- Please show all steps. Determine the coordinate of a 3D point P(100, -60, 80) after rotating 600 across Z-axis, given that the center of rotation is (50, 20, 45).arrow_forwardllowing function on the axes provided. f(x)={(-2 for x<=-4),(2x+1 for x>0):}arrow_forwardThe electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1 nC/m lying along the z axis in free space is: Select one: a. None of the above b. 0.6366 nC/m c. 0.2387 nC/m d. 0.039 nC/m e. 0.1 nC/marrow_forward
- A discharge factor is a ratio which compares the mass flow rate at the end of a channel or nozzle to an ideal channel or nozzle. The discharge factor for flow through an open channel of parabolic cross-section is: K = 1.2 [V16x +1+ In(V16x² +1+4x)]³ 4x where x is the ratio of the maximum water depth to breadth of the channel at the top of the water. Determine the discharge factors for x in the range 0.45 to 0.90 in steps of 0.05. Script e C Reset I MATLAB Docume 1 %Give values for x: 2 3 %Solve for K: 4arrow_forwardSolve the problem in the image:arrow_forwardA standard science experiment is to drop a ball and see how high it bounces. Once the “bounciness” of the ball has been determined, the ratio gives a bounciness index. For example, if a ball dropped from a height of 10 feet bounces 6 feet high, the index is 0.6 and the total distance traveled by the ball is 16 feet after one bounce. If the ball were to continue bouncing, the distance after two bounces would be 10 ft + 6 ft + 6 ft + 3.6 ft = 25.6 ft. Note that distance traveled for each successive bounce is the distance to the floor plus 0.6 of that distance as the ball comes back up. Write a program that lets the user enter the initial height of the ball and the number of times the ball is allowed to continue bouncing. Output should be the total distance traveled by the ball. Please name your function "bounce" that has three arguments (initial height, index, number of bounce) and return the total distance traveled by the ball. (float) Skip the part where users can enter the inputs of…arrow_forward
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