1first, compute the integral analytically. then estimate the integral to 6 decimal places, as instructed. a) handwork use multiple applications of the trapezoid rule, with n=6. (use eq. 19.11). b) handwork apply the composite trapezoid rule, with n=6. (use eq. 19.17). c) matlab apply the composite trapezoid rule, with n=6, 12 & 24 d) handwork use multiple applications of simpson’s 1/3 rule, with n=6. (use eq. 19.22). e) handwork apply the composite simpson’s 1/3 rule, with n=6. (use eq. 19.26). f) matlab apply the composite simpson’s 1/3 rule, with n= 6, 12 & 24
answer & explanation:
"the force on a cutting tool are 2600n vertically downward" sounds a little unusual, since most of the time, the tool is above the object to be cut in such a way that the force acting "on the tool" is upwards. we will accept the statement as it is (downwards).
since the two forces are acting at right angles to each other, the resultant can be found using pythagoras theorem, namely
resultant = sqrt(2600^2+2100^2) = 3342 n (approx.)
the angle can be found using the arctangent function, or
angle = arctangent(2600/2100) = 51.07 degrees below the horizontal, since the 2600 n force is acting downwards.
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