I4 = 9x² 8(3x + 1)dx -1
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Evaluate the following integral
a4)
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- #8) Given the vectors A = (1, -3,5) and B = (6,-4, 2) find the following (make sure to use proper vector notation, you can use the given notation using parenthesis or using the unit vector notation shown in class. Just the answer from you calculator does not count, show your work.Unable to solve a Centroid Problem!Determine the coordinates of the centroid of the lineal shape (one horizontal line connected to one vertical line) shown in the diagram. Hint: Make a table like in Ch. 5 Example 1, but with length instead of area. y 3.0 m x coordinate: y coordinate: 2.0 m X
- Find the path from the origin to the point x = y = 1 (in the x-y plane) that makes the integral S = / [)° + yy' + y*] dx stationary, where y' hyperbolic sine or cosine. Draw a rough qualitative sketch of the path, making sure to label the endpoints. dy/dx. If appropriate, express your result in terms of a %3DPlease help meYou have been given the points below (they are in the x-y plane). Figure the corresponding polar coordinates of the points given below. 1. (-3.00, 4.80) 2. (5.00, -3.50)
- Determine the surm of all possible values of s. 9. Celine traces paths on the grid below starting at point X and ending at point Y. Each path must follow the lines connecting the dots and only ever move horizontally to the right or vertically down. It may be useful to know that there are a total of 924 such paths. Consider the 7 points labelled A, B, C, D, E, F, and G. List these points in decreasing order of the number of paths passing through that point. For example,B is on exactly one path, so B should be the last point in your list.please give me solution with details. to solve it, it has to know cylindrical and spherical coordinate.Please Help me