29–30 Evaluate the
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Chapter 15 Solutions
Calculus 8th Edition
- The force on a particle is described by 6x° + 1 at a point x along the x-axis. Find the work done in - 2. moving the particle from the origin to x =arrow_forwardJV-x² + 4x+5 Consider dx. Using trigonometric substitution, what is the integral form in terms of 0?arrow_forward√1-x² [²₁²³ [" (2²³ + 1²³) dz dy de to cylindrical coordinates and L evaluate the result. (Think about why converting to cylindrical coordinates makes sense.) 2. Convert the integralarrow_forward
- Q1 Use the parametric equations to calculate the line integral . in the graph ху ds over the path c which is given y (0 ,2p) c2 a circular segment C3 is line segment C1 is line segment (0,-2p)arrow_forwardFind the points of intersection between r =2cos20 and r = 1-cosearrow_forwardGenerate a 3D plot based on the equation z=sin(x) +cos(y), both x and y range from 0 to 2 pi. Please use Matlab to solve.arrow_forward
- 4-x² 12. Use a change to polar coordinates to evaluate the integral dy dr.arrow_forward1 1/² x² + y² + z² and evaluate it. (Think about why converting to spherical coordinates makes sense.) 3. Convert the integral √4-x² 4-x²-y² dz dy dx to spherical coordinatesarrow_forwardIntegrate zez² dz where C from 1 along the axes to iarrow_forward
- Evaluate the integral by changing to spherical coordinates. x2 V 200 – 0 – x² – y² 10 100 - - xy dz dy dx x2 + y2arrow_forward+x + 1)7 dx Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use C for the constant of integration.) -2x - 1 dx (x2 + x + 1)7arrow_forwardWrite a triple iterated integral in SPHERICAL coordinates (d(rho)d(phi)d(theta)) and solvearrow_forward
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